Unit 1 Tutorials: Great Philosophers
INSIDE UNIT 1
Introduction to Philosophy and the Pre-Socratics
What is Philosophy?
Why Study Philosophy?
Cosmology and the First Philosophers
The Atomistic Worldview
Parmenides
...
Unit 1 Tutorials: Great Philosophers
INSIDE UNIT 1
Introduction to Philosophy and the Pre-Socratics
What is Philosophy?
Why Study Philosophy?
Cosmology and the First Philosophers
The Atomistic Worldview
Parmenides and the Doctrine of Permanence
Heraclitus and the Doctrine of Impermanence
Socrates and Dialectic
Socrates: The Father of Western Philosophy
The Socratic Approach
Introducing Arguments
Evaluation and Analysis of Arguments
Evaluating an Argument in Action
The Apology: A Defense of Philosophy
The Apology- Socrates' Arguments
The Crito: The Duties of the Social Contract
The Phaedo: The Death of Socrates
Plato and Aristotle
Plato: An academic approach to concepts
Plato Forms: The Objects of Knowledge
Plato Forms: The Foundations of Being
Applying Plato's Metaphysics
The Footnotes to Plato
Aristotle: The Dissection of Reality
Aristotle on What There Is
Plato vs. Aristotle: The Mathematician or the Biologist
Philosophy as a Way of Life
Aristotelianism: The Naturalistic Worldview
Aristotle's Highest Good
Applying Aristotle's Ethics
Stoicism: The Ethics of Dispassion
Philosophical Analysis as a Way of Life
What is Philosophy?
by Sophia Tutorial
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 1Philosophy is a field of study that many people (including students) don't know much about. This course enables you to increase
your knowledge of philosophy by examining its origins in ancient Greece, as well as some of the areas that are studied by
philosophers today, including logic, epistemology, ethics, and metaphysics.
This section responds to the question, "What is Philosophy?" in three parts:
1. The Beginning of Western Philosophy
2. The Big Picture and a Contemporary Definition
3. Some Major Branches of Philosophy
1. The Beginning of Western Philosophy
Western philosophy is traditionally thought to have started when a mathematician named Thales of Miletus successfully predicted an
eclipse in 585 BCE. Although this may seem to have been an accomplishment in the field of astronomy, not philosophy, astronomy, like
many other sciences, was once considered to be a branch of philosophy.
Imagine for a moment that you lived in Greece 2600 years ago, but Thales had not made his famous prediction about the eclipse. What
would people have thought caused the eclipse? Would they have concluded that the gods were angry, or bringing the world to an end?
Whatever conclusions might have been reached about the meaning of the event, it's likely that it would have been connected to the
gods. By making his prediction based on analysis of his observations, Thales demonstrated that humans were capable of interpreting
reality on their own, without divine assistance.
Thales demonstrated that the world was fundamentally understandable and predictable. Human beings do not need to appeal to the
gods to learn about the world, or to use what they learn. By applying reason to observations, people can solve many of life's puzzles.
The desire to know and learn is the foundation of philosophy.
Illustration of Thales.
2. The Big Picture and a Contemporary Definition
To better understand what philosophy involves, consider the etymology of the word, “philosophy.” It comes from two Greek words,
philos and sophia. Philos means "love." It is the basis of a number of common words, including “philanthropy” and “Philadelphia.” Sophia,
which is also part of “sophisticated” and “sophomore,” means “wisdom” (and before you sophomores start feeling too proud,
sophomore means “wise fool”). Philosophy, at a fundamental level, is the love of wisdom.
Wisdom is not the same as knowledge. One can have all of the knowledge in the world but still lack wisdom. Rather than referring to
information retained in memory (i.e, knowledge), wisdom refers to the ability to apply reason to knowledge, in order to make use of it in
beneficial ways. Wisdom focuses on how we use what we learn, rather than on what we learn.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 2The highest degree one can earn in biology is a PhD — a doctorate in philosophy. A PhD in biology not only means that you know facts
and concepts in the field (i.e., knowledge), but that you can use that knowledge to make new contributions — in biology or a related
field. You can evaluate the body of biological knowledge and determine how parts of it can be used in new ways. As a result of
philosophy's focus on wisdom, science and philosophy share a similar methodology.
Defining philosophy as “love of wisdom” helps us to begin to understand it, but it lacks precision. Here is the definition of philosophy
that we will use in this course:
Philosophy
The pursuit of truths that cannot be wholly determined empirically.
Philosophy seeks to find truth in areas where science cannot.
Consider this philosophical question: “Is there a creator god of a certain description?" We cannot answer this question
by looking for a god through a telescope. In this instance, science cannot help us to find the truth. There are two possible answers to
this question: "there is" or "there isn’t."
In seeking to arrive at the truth, philosophy is not mere opinion. If two people disagree, this doesn’t mean that it is not possible to find
an answer, and that they must agree to disagree. With respect to the example above, If two people disagree as to what is true, one of
them is simply wrong. Philosophy helps us to determine which one.
Since we cannot use a telescope, a microscope, etc. to discover who is right and who is wrong, we must make inferences: We take the
evidence we have, and ask whether it supports one position or the other. We use logic to decide which position is better-supported
and, therefore, more reasonable. It is for this reason that logic is the backbone of philosophy.
3. Some Major Branches of Philosophy
Philosophy encompasses a number of branches/sub-disciplines. The three most significant branches involving the philosophers we'll
study in this course are ethics, epistemology, and metaphysics.
Ethics
The branch of philosophy that analyzes and defends concepts of value, and thereby determines right and wrong.
Questions of right and wrong fit within the definition of philosophy provided above. Consider this action: punching a small child. The
sciences can tell us a lot about this action. Medicine can predict the damage it would cause. Political science can determine its legal
consequences. Psychology can provide insight into the mind of the perpetrator. But no scientific analysis can tell us that this action is
wrong.
Of course, it is wrong, and anyone who claims that "wrong" is merely an opinion, and that this action is not something that can be true or
false, should be ignored. Science can tell us that this action would cause pain, but it is a philosophical truth that causing pain
unnecessarily is wrong.
Although questions of right and wrong are the prerogative of philosophy, science has a role. Later in the course, we will consider
philosophical approaches to ethics, including the philosophy of Socrates, who was not only deeply interested in determining how to live
a morally upright life, but was willing to die to uphold his beliefs.
Philosophy provides a benefit to science through epistemology.
Epistemology
The branch of philosophy that analyzes and defends concepts of knowledge and the methodologies by which it is attained.
Philosophy is sometimes called the "mother of the sciences" because it determines what constitutes knowledge. For example, it helps
biologists determine what is biological knowledge (versus mere opinion), and what methods can generate knowledge. Philosophers of
science were the driving force behind the development and refinement of the scientific method. Socrates distinguished knowledge
from opinion, while Plato gave the first clear account of knowledge. Aristotle, the father of physics, biology, and astronomy, used
philosophy to develop and enhance these disciplines.
The largest and, perhaps, the most fundamental branch of philosophy is metaphysics.
Metaphysics
The branch of philosophy that seeks to uncover and describe the ultimate nature of reality.
The prefix “meta” means “beyond.” Metaphysics works on fundamental issues that are beyond science — principles in which science
may be grounded. For instance, although science identifies and describes the laws of physics, what is a law? What is its status? What kind
of a thing is it? These are metaphysical questions. Metaphysics also considers questions including, is there a god? Are we free to make
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 3decisions, or are all of our choices predetermined? What is the ultimate nature of time? What is causation? All of the philosophers
included in this course have something to say about these topics. Additionally, we'll learn how metaphysics informs other philosophical
disciplines, such as ethics.
These three branches of philosophy will be a major focus of this course. Other branches of philosophy (e.g.,natural philosophy and
cosmology), have been largely relegated to the sciences.
Natural Philosophy
The branch of philosophy that examines nature and the universe
Cosmology
The branch of philosophy that studies the universe in its totality
The subjects studied in what was called "natural philosophy" have moved from philosophy to physics, astronomy, and other sciences.
Cosmology is now a branch of astrophysics (cosmogony is a branch of cosmology that focuses on the origin of the universe).
Since philosophy is the pursuit of wisdom, it supports all pursuits of knowledge. To discover wisdom, philosophy uses logic,
reason, and critical thinking, and studies topics including ethics, epistemology, and metaphysics. In this course, we’ll learn about
these branches of philosophy, practice logic, and examine philosophical approaches to questions including “what is knowledge?”
“what is real?” and “what is a good life and how should I live?”
Source: Image of Thales, PD,
https://en.wikipedia.org/wiki/Thales_of_Miletus#/media/File:Illustrerad_Verldshistoria_band_I_Ill_107.jpg
TERMS TO KNOW
Cosmology
The branch of philosophy that treats the universe in its totality
Epistemology
The branch of philosophy that analyzes and defends concepts of knowledge and the methodologies that attain it
Ethics
The branch of philosophy that analyzes and defends concepts of value and thereby seeks to determine right and wrong
Metaphysics
The branch of philosophy that seeks to uncover and describe the ultimate nature of reality
Natural Philosophy
The branch of philosophy that treats nature and the universe
Philosophy
The pursuit of truths that cannot be wholly determined empirically
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 4Why Study Philosophy?
by Sophia Tutorial
Philosophy is sometimes stereotyped as an "ivory tower" discipline that does not apply to the "real" world. In this lecture, we will
cover four areas in which the benefits of philosophy are easy to see: higher education, the sciences, society, and the people who
study philosophy.
This section answers the question, "Why Study Philosophy?" in five parts:
1. Philosophy and Higher Education
2. Benefits of the Philosophical Mindset
3. Benefits Through the Sciences
4. Benefit to Society
5. Benefit to the Individual
1. Philosophy and Higher Education
Recall that philosophy is the pursuit of truths that cannot be wholly determined empirically. Philosophy pursues wisdom, and is
therefore crucial in defining methods for the development and refinement of knowledge in all fields. As a result, philosophy is nearly
synonymous with higher learning. Indeed, the words “academia” and “academic” come from the name of Plato’s school of philosophy,
the Academy. The highest degree attainable in academia is the PhD, Latin for philosophiae doctor, or doctor of philosophy.
Philosophy
The pursuit of truths that cannot be wholly determined empirically.
Asking “why care about philosophy” is like asking “why care about higher education?” Philosophy is a collegiate activity that signifies
intellectual maturity. One can question the status quo — not to be belligerent, but out of a genuine desire to understand it. All you have
learned previously becomes a starting point, not an end.
2. Benefits of the Philosophical Mindset
In enumerating the advantages of philosophy, 20th century philosopher Bertrand Russell pointed out that it enlarges our thoughts and
frees us from the “tyranny of custom.” How does philosophy do this? By asking “why” questions, and determining whether the answers
are satisfactory. Philosophy requires that all beliefs be justified. What does this mean?
State a belief: “I believe (fill in the blank) is true.” Next, ask “why” you believe what you've stated. Why do you think your belief is
true? If you can provide a good answer, one that is good enough to convince a reasonable skeptic, then you have justified your belief
and, therefore, know it. If you cannot provide an answer, or only an answer that a skeptic would find unsatisfactory, you have an
opinion, but do not know. You should not believe what you
've stated, or should believe it only provisionally.
Philosophy's requirement that beliefs must be justified leads to regular questioning of beliefs and refinement of answers.
For thousands of years, people believed that only certain organic matter (composted plants and excrement) were
adequate fertilizers. In the 20th century, someone finally asked the crucial question: “Why do we think that we can only use organic
matter as fertilizer?” No one could provide a good answer to this question. What people had believed for thousands of years was
opinion, not knowledge — something handed down through generations of farmers. It was Russell’s “tyranny of custom.” When freed
from this tyranny, scientists developed nitrogen-based fertilizers, more land was farmed, and every acre produced more crops.
Millions of people were spared famine and starvation, thanks to the philosophical mindset and its determination to hold only justified
beliefs.
This is only one example, but it represents how progress has taken place over the centuries.
3. Benefits Through the Sciences
As the last example demonstrated, the philosophical mindset is key to progress in the sciences. However, the connection between
philosophy and science is deeper than that.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 5Philosophers have made the significant contributions to scientific methodology, and have contributed to the formation of science as we
know it today. Epistemology set the standards of knowledge, and the philosophy of science developed methods to attain it. Aristotle, a
Greek philosopher, is considered to be the father of physics and biology. He contributed to the development of the foundations of
science. His concepts were later refined and incorporated into the modern scientific method by Francis Bacon, who was also a
philosopher.
Epistemology
The branch of philosophy that analyzes and defends concepts of knowledge and the methodologies used to attain it.
Images of Aristotle and Francis Bacon
Philosophy has inspired breakthroughs in theoretical science. Isaac Newton’s Principia is, in part, a text on natural philosophy. Albert
Einstein cites the work of philosopher David Hume as the primary influence on his development of the Theory of Relativity. Hume’s
work also inspired much of Adam Smith’s economics.
Many philosophers were also mathematicians and/or scientists, including René Descartes (perhaps you have heard of Cartesian
coordinates), and G.W. Leibniz, who developed the binary number system and symbolic logic, without which we would not have
computers. When someone’s passion is knowledge, and that knowledge is groundbreaking, distinctions between philosophy and
theoretical science disappear.
4. Benefit to Society
Although you may have hesitated to give philosophy any credit for developments in theoretical science, you need only look around you
to see what it has done in ethics and political philosophy. As a result of its influence in these areas, philosophy has led to improvements
in society and culture.
The U.S. Constitution, including much of the Bill of Rights, is based on the political philosophy of John Locke. Many of the Founding
Fathers were Lockeans.
General acceptance of democracy as the fairest form of government was a philosophical development. Similarly, most of our modern
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 6concepts and advancements with respect to justice, fairness, and equality originated with political philosophers. If you appreciate the
end of slavery, the fight for racial equality, women’s suffrage, or other instances of social progress, thank a philosopher.
Philosophy has also contributed to advancement in ethics. Philosophers are often employed as consultants on hospital ethics boards, as
well as in other fields of applied ethics including environmental and business ethics. Philosophy has influenced societies' views on right
and wrong for millennia.
5. Benefit to the Individual
Do you think you would benefit from being wiser? More moral? A better critical thinker? Being better equipped to distinguish
knowledge from opinion? Making decisions based on reason instead of emotion? Acting according to your beliefs? Having a consistent
worldview? Recognizing value? Minimizing bias while maximizing objectivity?
The study of philosophy does all this and more. It makes you a better person, but it can also have more immediate, tangible results. The
study of philosophy has been shown to increase standardized test scores and performance in other courses. And, despite opinions to
the contrary, philosophy degrees are highly sought by business employers because "thinking outside the box" is vital to business
solutions and strategy.
Like your other courses, you will get out what you put into a philosophy class. If you make an effort in "Ancient Greek Philosophers,"
you will be rewarded.
Philosophy brings value from the global level to the individual. A philosophical mindset is required for any sort of progress.
Philosophy has advanced (and continues to advance) the sciences; it has contributed to the growth of more ethical and just
societies; and has broadened and improved the minds of those who study it.
Source: Image of Aristotle, PD, https://en.wikipedia.org/wiki/Aristotle#/media/File:Aristotle_Altemps_Inv8575.jpg, Image of Francis
Bacon, PD https://en.wikipedia.org/wiki/Francis_Bacon#/media/File:Pourbus_Francis_Bacon.jpg
TERMS TO KNOW
Epistemology
The branch of philosophy that analyzes and defends concepts of knowledge and the methodologies that attain it
Philosophy
The pursuit of truths that cannot be wholly determined empirically
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 7Cosmology and the First Philosophers
by Sophia Tutorial
In this section, we will examine the very first western philosophers, the Pre-Socratics. After discussing why they are considered
philosophers, we'll learn about some of the major figures and their ideas, and how those ideas shaped the world as we know it.
This tutorial examines Cosmology and the first philosophers in three parts:
1. Who Were the Pre-Socratic Philosophers?
2. Some Pre-Socratic Philosophers and their Influential Ideas
3. Intellectual Legacy of the Pre-Socratics
1. Who Were the Pre-Socratic Philosophers?
A group of philosophers now known as the Pre-Socratics were active In Greece between (approximately) 600- 450 BCE.
Pre-Socratics
A collective term used for Greek philosophers who practiced philosophy before Socrates
The influence of the Pre-Socratics is limited because most of their work has not survived. What remains of their beliefs and teachings
are fragmenta: mostly quotations from other philosophers whose works were preserved, and testamonia: references to them and their
work (but not quotations) in other ancient texts. Our access to their work, therefore, is limited, but their work remains important. They
influenced and inspired those whose ideas changed our science, culture and intellectual traditions. They were true philosophers, even
though what we know about them and their work is limited to their major ideas.
They are categorized as Pre-Socratics, not only because of their limited influence, but also because much of their work can be assigned
to natural philosophy or cosmology, branches of philosophy that have been largely relegated to the sciences.
Natural Philosophy
The branch of philosophy that considers nature and the universe
Cosmology
The branch of philosophy that considers the universe in its totality
Natural philosophy has moved from being a branch of philosophy to an area that is studied in physics, astronomy, and other sciences.
Cosmology is now a branch of astrophysics (cosmogony is a branch of cosmology that focuses on the origin of the universe). When we
take this into account, we can see that the Pre-Socratics were practicing theoretical science when science was still part of philosophy.
Why then was their work once considered philosophy? To answer this question, recall that philosophy is the pursuit of truths that cannot
be determined empirically. Questions like, “what are stars made of” could not be answered empirically 2,500 years ago. The theories,
discoveries, and tools required to answer those questions had not been developed. All that the Pre-Socratics had to work with was their
observations, and what they could conclude based on those observations.
Their methodology was philosophical in two ways: First, they used argument and reason to identify the best answers to the questions.
Second, their methodology was naturalistic. They did not rely on divine mechanisms to support their answers. Also, they did not only
work on these topics. Their findings in natural philosophy influenced their views in other areas of philosophical inquiry.
2. Some Pre-Socratic Philosophers and their Influential
Ideas
Following is a list of some of the most influential Pre-Socratic philosophers, and their major ideas. The list is a sample; it is not
comprehensive. Two significant Pre-Socratics, Heraclitus of Ephesus and Parmenides of Elea, have been omitted because they will be
examined in detail in separate tutorials.
The Milesians
This group, usually considered to be the first Pre-Socratic philosophers, consisted of Thales and his pupils, Anaximander and
Anaximenes. It was said that Thales claimed that everything in the cosmos was made of water, but Anaximenes held that everything was
made of air. Anaximander maintained that the cosmos was initially apeiron (i.e., “boundless” or “without qualities”), but became
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 8differentiated.
If these theories seem far fetched, note that their methodology was sound. These philosophers used empirical data (i.e., information
obtained by observation) to formulate theories of reality that best fit that data.
What these three theories have in common was the positing of a single cosmos: the claim that all matter was united according to a single
arrangement/order, governed by universal laws. This was the Milesians’ true philosophico-scientific advancement. They were
essentially correct in taking this position. Science worked out the details over the next 2,500 years.
Pythagoras
Pythagoras (long thought to be the discoverer of the Pythagorean Theorem) and his followers incorporated mathematics into his
philosophical worldview.
The Pythagorean Theorem, a basic component of algebra courses today, has been around for thousands of years!
To the Pythagoreans, the world was a mathematical entity of perfect harmony. They assigned great importance to certain numbers found
in nature (e.g., the number of heavenly bodies). A human’s job was to find his or her proper place in this harmonious system. They also
formulated and defended a reincarnation doctrine related to their worldview.
Xenophanes of Colophon
Xenophanes, a travelling poet, was also a philosopher who lived to great age. Secularization played a major role in his philosophy. He
reassigned divine mechanisms to naturalistic causes, such as the rainbow, which ancient Greeks believed to be a manifestation of the
messenger goddess Iris. Xenophanes identified rainbows as phenomena produced as a result of meteorological causes.
Xenophanes maintained that it is better to rely on observation and reason than on signs from the gods. He was not an atheist, but
objected to then-common conceptions of the gods, faulting earlier poets for depicting deities as treacherous and deceitful beings who .
constantly interfered in human affairs. He also opposed theories that relied on “the god of the gaps,” in which a miracle is used to
support an otherwise-scientific explanation because there was no known natural cause. To Xenophanes, the gods controlled all things,
but acted predictably, not miraculously. Indeed, science is close to impossible if gods constantly interfere with natural phenomena.
Xenophanes characterized this as anthropomorphism — the application of human attributes to something that is non-human (like the
gods). In some ways, the Greek gods were depicted as the worst of humans. Zeus used his powers to change his form and rape women.
Hera, his wife, punished those women. The gods sometimes helped the strong to defeat the weak, and the unreasonable to kill the
reasonable. As depicted, the gods often behaved in ways that humans might behave if they had divine power. In these depictions,
therefore, humans projected their attributes onto the gods. As Heraclitus stated:
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 9Any gods worth their titles would be the authors of the laws of nature. Their actions in the world would take place through nature, not
above and beyond it.
Anaxagoras of Clazomenae
Anaxagoras was primarily interested in cosmology. Denying that celestial bodies were gods, he interpreted the world around him in
natural terms, and formulated one of the first cosmogonies. Before there was a known universe, he theorized that everything began as
an undistinguished mixture that took form and definition when a force called nous began to spin the mixture. The literal translation of
nous is “mind,” but ancient Greek had such a small vocabulary that a word was often used for several things. As a result, it is not clear
whether Anaxagoras defined nous as a deity or as a force of order (like the laws of nature). Either way, nous is the force which gives
form to the universe, a process which Anaxagoras believed to be ongoing. He was condemned in Athens for maintaining this naturalistic
concept.
Empedocles of Acragas
Empedocles was a physicist who was deeply religious. He was probably a Pythagorean. As a physicist, Empedocles maintained that
there were four “roots” — what Aristotle would later call the elements — earth, air, fire, and water. These were combined by love, and
separated by strife. In this system, there were six metaphysical entities that formed everything in the cosmos. Instead of coming into
existence and passing away, Empedocles viewed the universe in terms of mixing and separating. (He thought this process also occurred
on the physical level, involving the flow of blood.) He was concerned with religious purity and purification, and defended the
Pythagorean notion of reincarnation.
Protagoras of Adera
Protagoras was a member of the “Older Sophists,” a group of traveling intellectuals. He made two significant intellectual contributions,
which are interrelated. Protagoras was perhaps the first outspoken agnostic. He argued that we could not know whether the gods
existed or not. This led him to make a second claim: “man is the measure of all things.” This statement is usually interpreted to mean that
knowledge is relative to the knower. This implies that we cannot escape our biased perspective. We cannot know what it is like to walk
in another person’s shoes.
3. Intellectual Legacy of the Pre-Socratics
It might be tempting to dismiss some of the ideas of the Pre-Socratics as quaint and outdated, but they mark the beginning of science.
By observing the natural world and using reason to explain phenomena, the Pre-Socratics' provided a basis for all subsequent advances
in the sciences.
Notice that there are common themes shared by the Pre-Socratic philosphers. The first is a consistent worldview, in which one or a few
laws and elements are used to account for a variety of phenomena. The second is methodological naturalism. Most Pre-Socratics did not
deny the existence of the gods, but maintained that we should not invoke them to explain phenomena. This (as a method, not with
respect to belief) has enabled scientific progress from their time until the present day.
The Pre-Socratics viewed natural philosophy and theology as separate disciplines, with different standards of knowledge, and different
applications. Their commitment to natural philosophy enabled them to think in new ways. In a number of areas, it took science millennia
to catch up with them (e.g., thought described as a result of physical processes; Anaximander hinting that humans evolved from lower
animals).
The Pre-Socratics were the first Western philosophers. In this tutorial, we examined the contributions of some of the most
influential philosophers in this group. The Pre-Socratics took a philosophical approach to questions that are now of interest to the
sciences. Their ideas were a starting point for philosophic and scientific investigation.
Source: Heraclitus image, PD, https://en.wikipedia.org/wiki/Heraclitus#/media/File:Hendrik_ter_Brugghen_-_Heraclitus.jpg
TERMS TO KNOW
Cosmology
The branch of philosophy that treats the origin of the universe in its totality
Natural Philosophy
The branch of philosophy that treats nature and the universe
Pre-Socratics
A collective term for the group of Greek philosophers practicing philosophy before the influence of Socrates
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 10The Atomistic Worldview
by Sophia Tutorial
In this lecture, we will examine the notion of a philosophical worldview, and present an influential worldview from ancient Greece:
philosophical atomism.
This tutorial investigates the philosophical worldview and atomism, in three parts:
1. Philosophy as a Worldview
2. The Atomistic Worldview
3. Atomistic Influence
1. Philosophy as a Worldview
Perhaps you have been asked, “What is your philosophy?” In light of our definition of philosophy — the pursuit of truths that cannot be
wholly determined empirically — you may find this question difficult to answer. However, the question and our definition may be more
closely related than they seem to be. Since metaphysics, a branch of philosophy, considers first principles and the ultimate components
of reality, there is a sense in which everything falls within the purview of philosophy.
A cohesive and defensible system of metaphysics enables provides one with a way to interpret reality — a worldview. For example, if
you answer “what is your philosophy?” by stating your belief that physical reality is the only reality, your answer impacts on how you
view the world. As a result of your answer, you must reject or radically reinterpret religion and belief in a deity. You must also interpret
thought as a purely physical phenomenon, and deny the existence of a brain-independent mind or soul. You must likewise take a
position on other abstract entities that many people believe exist.
Numbers are abstract entities that many people believe exist independent of the human mind. If your philosophy only
allows for physical entities, you must reject the existence of mind-independent numbers, since they are not physical things. (You
would also have to equate “mind” with part of the brain.)
Lastly, you must ensure that your actions are consistent with your beliefs. Hence, in developing a metaphysical view, you have also
developed a worldview.
2. The Atomistic Worldview
An early and extremely influential worldview was developed by the ancient Greek atomists. According to atomism, reality is composed
of atoms in a void.
The word "atom" comes from the Greek atomon, which means "uncuttable." An atom, therefore, is matter which is indivisible and without
parts. This is not the definition of atom used in contemporary chemistry and physics. We now know that atoms are divisible and have
parts (i.e., subatomic particles).
At the time when these atoms (think of them as “chemical atoms”) were discovered, scientists thought they had found a basic, indivisible
entity, so they took the name from ancient Greek philosophy and applied it to their discovery. It was later determined that chemical
atoms are divisible, but the name (i.e., atom) continues to be used. As a result, we must distinguish a philosophical atom from a
chemical atom.
Philosophical Atom
An indivisible physical entity
Since chemical atoms do not fit this description, they are not the same as philosophical atoms.
The chief defenders of philosophical atomism in ancient Greece were Leucippus and his student Democritus. It is through the latter that
we have received most of what we know about ancient Greek atomism. (It is important to note that, in addition to Greek atomism, there
were other ancient atomist philosophies, including Indian and Islamic traditions.)
Greek atomism states that everything that exists is either an atom or a collection of atoms. Atoms are the smallest entity, but they are
not infinitely small. Aristotle, when attempting to solve one of Parmenides’ (another philosopher) metaphysical puzzles involving
change, referred to the atomistic view that new things don’t come into existence. Instead, existing things change their organization: they
take new forms.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 11Have you ever seen something begin to exist? Matter doesn’t seem to come into being. It only seems to change form. Consider, for
instance, a human coming into being. The cellular material doesn’t come from nowhere. It comes from nutrients consumed and
processed by the mother. Matter (the nutrients) is reordered into a new form (a human).
The atomists believed that there were different kinds of atoms. They came in different shapes and sizes, and could be combined in a
variety of ways. In the atomistic view, different atomic textures were used to explain how different sensations were produced. Different
bonding configurations accounted for the degree of solidity of objects and other phenomena. Since, at that time, action at a distance was
believed to be impossible, the atomist account was used to solve other puzzles (as in the following example).
The ability to perceive odors — to smell — was explained as the transfer of atoms from an object into the nose.
Different shapes and configurations of atoms produced a variety of smells.
It is important to note that the atomist philosophy is rich in explanations. Starting with a few simple assumptions, the atomists described
and explained a variety of complex phenomenon.
3. Atomistic Influence
As was the case with the work of the Pre-Socratics in natural philosophy, science has had to "catch up" with philosophy. With some
revisions (including how molecules form bonds), the atomist worldview has been adopted by contemporary science.
However, it is important to keep in mind that, in addition to its influence on the sciences, atomism is a philosophical worldview, and that
worldviews impact your perception of reality. The natural explanations for phenomena provided by philosophical atomism provoked
religious and theological responses. Some theologians viewed atomism as an attack on religious belief. Others embraced it. In general,
the worldview provided by Greek atomism, which is rich in satisfactory explanations of reality, requires us to consider, and even
accommodate it. We are compelled to incorporate the tenets of atomism into our own worldviews, just as we are obliged to incorporate
contemporary breakthroughs in physics and astrophysics.
Ancient Greek atomism is an example of a successful worldview. It provides a metaphysical system that is defensible and rich in
explanations of phenomena. It is based on a belief in philosophical atoms of different qualities (e.g., shape, texture) that are the
fundamental components of reality.
TERMS TO KNOW
Philosophical Atom
An indivisible physical entity
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 12Parmenides and the Doctrine of Permanence
by Sophia Tutorial
Parmenides of Elea was an influential Pre-Socratic philosopher, often considered the father of metaphysics. He and his school had
a profound impact on later philosophy, especially that of Plato. Though, as with other Pre-Socratics, we have only fragments and
testemonia of his philosophy, they indicate that he was an original thinker. What remains of Parmenides' work is part of a single,
extended metaphysical poem in which a student travels to meet a goddess, who lectures him about truth and belief. The proper
interpretation of the poem has been the subject of scholarly debate. In this tutorial, Parmenides' ideas regarding "the turn to
metaphysics," and his doctrine that the universe is one, unchanging entity, will be examined.
This tutorial investigates the philosophy of Parmenides, including the doctrine of permanence, in three parts:
1. The Turn to Metaphysics
2. The Doctrine of the Unchanging One
3. Zeno’s Paradoxes
1. The Turn to Metaphysics
Parmenides was deeply influenced by Xenophanes (Parmenides may have been his student). Recall that Xenophanes criticized the prephilosophical tradition of relying on the gods to explain natural phenomena. Xenophanes maintained that there was a strict division
between mortal and divine knowledge that cannot be crossed. Parmenides upheld this distinction, but went even further by claiming that
the opinions of mortals are universally unreliable.
If mortals do not have access to divinity, but cannot attain knowledge without divine aid, how can they move beyond their flawed
opinions and discover the nature of reality? Parmenides' answer is that there are signs we can follow, which point to genuine reality:
signs that "turn to metaphysics."
Recall that metaphysics seeks to uncover and describe the ultimate nature of reality. In this context, it is a quest to look beyond the
mortal world, the world of the senses and of unreliable opinion, to perceive reality as it truly is. Metaphysics is the answer to how
humans can take a god’s-eye view and discover what is real.
Metaphysics
The branch of philosophy that seeks to uncover and describe the ultimate nature of reality
2. The Doctrine of the Unchanging One
Substance monism is a component of Parmenides’ metaphysics, that has been attributed to him by later sources. It is the view that all of
reality is one object, usually translated as the “what-is.” The "what-is" is a term for the way things are: The True. Parmenides also posited
a corresponding “what-is-not.” This can be thought of as The False. Together, these two concepts create a duality in Parmenidean
metaphysics.
In this metaphysical system, what-is, is, but what-is-not, cannot be. That this must be so becomes evident when basic questions are
asked: where would what-is-not come from? How would it come into being?
What-is-not cannot come from what-is. The False cannot come from The True. Non-being cannot come from being. However, it is also
impossible for what-is-not to come from nothing, since nothing cannot produce anything. As a result, the universe cannot change from
what-is to what-is-not. If "The True" is true, it cannot become "The False." At the same time, what-is cannot cease to be, since
transformation from being to non-being is metaphysically impossible, according to Parmenides.
In this system, what-is is eternal and unchanging, because change would require the universe to pass from what-is to what-is-not.
Although this is the conclusion to which Parmenides’ metaphysical analysis leads, it is not the universe with which we are familiar. Our
universe is changing and impermanent. This creates a duality between the genuine, unchanging realm of reality, and the changing world
of appearance. Parmenides’ way focuses on the former, but the way of opinion, in which observers do not realize that this transient
world of change is illusory, is focused on the latter.
What are some advantages in seeing the world as unchanging? How might they account for our ability to know and learn?
3. Zeno’s Paradoxes
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 13Maintaining that change is illusory, as Parmenides does, seems to run counter to common sense. You may be tempted to dismiss
Parmenides’ view for that reason alone, but you would be wise to avoid a quick dismissal of his conclusions. Think about all of the things
we know are true, despite what "common sense" tells us.
Right now, you are moving at 67,000 miles per hour while standing on a round surface that is rotating at up to 1,000
miles per hour. Space itself is expanding, and it curves around heavy objects.
These examples show that “strange” cannot be equated with “false.” This is especially true when you are forced to choose between
two peculiar options. For example, when you think about the origin of the universe, it seems as if you must choose between a Big Bang,
in which all matter in the universe comes randomly into being, and a creator god who waited for an infinity before deciding to create the
cosmos 13 billion years ago. In this debate, one side calling the other’s view “strange” is a case of the pot calling the kettle black. Such
accusations are not significant challenges to any view. When considering big questions, things sometimes get weird.
One of Parmenides’ most famous students, Zeno of Elea, wrote a short book describing paradoxes. He demonstrated that motion was
a far stranger phenomenon than the "commonsense" view of it held by most people would allow. By doing so, Zeno showed that
rejection of Parmenides’ explanations of how things work simply because they're "strange," and because they refuted "commonsense"
opinions based on what seemed to be obvious and apparent, was illegitimate criticism.
Paradox
Situations in which seemingly reasonable assumptions lead to a contradiction or an absurdity
Consider this claim: “This sentence is false.” This claim seems reasonable because it is presented in the same structure as many claims
we make. However, if the sentence is true, then it’s false; if it’s false, then it’s true! Instead of describing contradictions, Zeno’s
paradoxes of motion show that simple assumptions about motion lead to absurdity.
There are many kinds of paradoxes, as a result of how slippery the notion of “absurdity” is (e.g., is the presence of absence an
absurdity?). “Paradox” covers a large number of logical and metaphysical oddities. Socrates and Plato, who we'll discuss later in this
course, emphasized precise definition of important words including “justice,” “craft,” and “piety.” They believed that precise definitions
were required in order to be clear about the concepts being discussed. However, it can be difficult to define terms like these with
precision. In contrast, the oddities uncovered by Zeno are relatively straightforward.
Zeno explained a number of paradoxes, but only a few of them have been preserved. His paradoxes of motion fall into two categories:
those which demonstrate the difficulties involved in positing time as a continuum, and those which demonstrate the difficulties involved
in positing time as being composed of discrete moments.
To argue against a continuum, Zeno raises considerations which include the following:
If time is a continuum, how could we ever get from one place to another? To move from A to B, we must first halve the distance, then
halve it again, then halve it again, and so on. That is, we must complete an infinite task through a series of finite actions.
If you haven't grasped this paradox yet, imagine an additional feature: a light turns on when you move half the distance from A to B. It
turns off when you halve it again, and so on. When you finally arrive at B, is the light on or off?
To argue against a discrete notion of time, imagine an arrow being fired. Consider one point in time (i.e., one moment), and label it T1. At
time T1, the arrow will have a specific position, P1. At the next moment, T2, the arrow has moved to a new position, P2. When did the
motion occur? Between moments? There is no such thing as "between moments," if time is discrete. If we assume that time is composed
of discrete moments, the arrow didn’t move, even though it is no longer at P1, but is now at P2. This is also absurd.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 14Parmenides saw metaphysics as a way to transcend opinion and examine the world as it really is. But his analysis, based on the use
of reason, led him to conclude that this world is unchanging, unified, and eternal. Such a world does not correspond to the world of
appearances, which means that the latter is an illusion. Zeno modified this extreme claim by pointing out some of the strange
features of the illusion.
Source: Archer by damar bintang from the Noun Project (CC), bullseye by Dinosoft Labs from the Noun Project (CC), Arrow by Valeriy
from the Noun Project (CC). All retrieved from The Noun Project :www.thenounproject.com
TERMS TO KNOW
Metaphysics
The branch of philosophy that seeks to uncover and describe the ultimate nature of reality
Paradox
When seemingly reasonable assumptions lead to either a contradiction or an absurdity
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 15Heraclitus and the Doctrine of Impermanence
by Sophia Tutorial
Heraclitus of Ephesus was another influential Pre-Socratic philosopher. Like Parmenides, he was interested in metaphysics and
the realm of appearances, and thought that the gods could not guide humans in these areas. However, he reached some
conclusions that differed greatly from those reached by Parmenides, arguing that the impermanence of the world of the senses
was the true nature of reality.
This tutorial examines Heraclitus and impermanence in three parts:
1. Heraclitus on the Secular
2. Heraclean Flux and the Unity of Opposites
3. Parmenides and Heraclitus
1. Heraclitus on the Secular
Though he was not affiliated with any philosophical school, Heraclitus, like Parmenides, was influenced by the rational theology
established by Xenophanes. Recall that Xenophanes disparaged the practice of turning the gods into fickle meddlers in human affairs,
and thought that actions taken by the gods were constant (i.e., according to the laws of nature). Heraclitus went further than his
predecessors by emphasizing the human role in affairs. His approach to reality was entirely secular. He maintained that there was one
true version of reality which he called the Logos.
The Greek word “logos” is translated as “account.” Hence, “biology” means to give an account of life. Logos was translated by
ancient Greek Christians as "the Word," as in, “in the beginning was the Word” — a surprisingly Heraclitean notion.
Heraclitus believed that the Logos governed and/or organized all things, and.that it did so independently — without the participation of
the gods. Although it is not clear whether he intended Logos to be distinct from reality (like a god), or dispersed through everything in
the universe, all things in the cosmos are unified according to the Logos.
The Logos belongs in the realm of metaphysics because it is not in the world we experience, but underlies it. Though difficult to
understand, the "Logos" can be comprehended by humans, even though not all of them are capable of grasping it. The Logos is always
true, whether anyone is aware of its reality or not. It is independent of knowledge and language, and belongs in the realm of
metaphysics.
2. Heraclitean Flux and the Unity of Opposites
The two most significant principles through which Heraclitus’ Logos governs are the Unity of Opposites and the Doctrine of Flux.
The Unity of Opposites is an assumption that the world is composed of opposites, and that opposites are linked in a system of
connections.
There cannot be a mountain without a valley, and vice-versa. People cannot awaken if they have not first been asleep,
and vice versa. Things are linked to what they are not. Heraclitus points out, for example, that ocean water is toxic to humans but
necessary for fish. The opposite is true of fresh water.
Can you think of more unities of opposites? One that is frequently cited, especially in the philosophy of religion, is the importance of
good and evil. Do you think this is a unity of opposites? Why or why not?
Beyond simply pointing out these unities, Heraclitus locates them inside us. He maintains that youth and age, life and death, are already
within us. One quality becomes the other. Each of them changes into its opposite — young becomes old, life becomes death, healthy
becomes ill.
Human beings occupy a privileged position in the universe according to Heraclitus. He indicates that our souls are connected to the
Logos through language, a human phenomenon.
Heraclitus’ Doctrine of the Flux is closely related to the unity of opposites. It states that all things change over time. Everything is
impermanent, and is in a constant state of change, moving from what it is to what it is not. He famously declared that you cannot step into
the same river twice, since, as water passes ceaselessly, the river becomes new. (The Heraclitans later pointed out that you cannot step
into the same river once.) You are not the same person you were yesterday.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 16Have you encountered anything in the world (other than metaphysical objects, such as numbers, laws of nature, etc.) that does not
change?
Heraclitus holds that change is the ultimate nature of reality. All is flux. However, when reading the philosophy of Heraclitus, we must be
careful to avoid taking some statements too literally. For example, Heraclitus' assertion regarding change is sometimes translated as a
claim that all is fire. This should be read metaphorically, and in light of the rest of the text. Fire flickers, and in doing so it changes
constantly. Saying that all is fire is a metaphorical way of saying that all is changing.
The metaphorical use of words — like using “fire” for “change” — was common in ancient Greek writing, because the language had a
small vocabulary.
3. Parmenides and Heraclitus
Recall that Parmenides claimed that the ultimate nature of reality is static, and that change is illusory. Heraclitus, on the other hand,
asserted that the ultimate nature of reality is change. It may be tempting to view them as polar opposites, philosophically speaking. In
doing so, however, we would ignore significant points on which they agree.
Both Parmenides and Heraclitus join Xenophanes in turning from divine causation and oracular knowledge to a secular concept of
reality. For both of them, this involved examination of what is universal and regular in nature, rather than what is random. Both of them
studied metaphysics, searching for the first principles and the ultimate nature of reality. They both recognized that the world of
appearances is in constant flux, and that it is impermanent.
Parmenides and Heraclitus believed that something constant underlies the impermanent world of change. Parmenides identified it as the
realm of being, the realm of what-is Heraclitus posited a Logos that contains the universal principles of the Doctrine of Flux and the
Unity of Opposites.
What is the significant difference between the philosophy of Parmenides, and that of Heraclitus? It seems to be the status of change.
Parmenides states that change is illusory, while Heraclitus claims that change is not only genuine, but essential to reality.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 17Do you agree with Heraclitus or Parmenides? Start by answering a smaller question: Which of the following is more important to
reality: what changes, or what is permanent? If you believe that reality is somehow a combination of the two, you will begin to see the
metaphysical problem that Plato inherited, and some of what underlies his philosophy. We will investigate Plato and his solution in a
subsequent tutorial.
Heraclitus, like Parmenides, was interested in metaphysics as a way to examine the true nature of reality without involving the
gods. He maintained that a Logos governs all things, and does so via the Unity of Opposites and the constancy of Flux. Although his
philosophy is in some ways similar to that of Parmenides, they are ultimately at odds regarding the ultimate status of change —
essential or illusory.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 18Socrates: The Father of Western Philosophy
by Sophia Tutorial
Socrates (circa 470-399 BCE) was one of the most important philosophers of all time. Although he was not the first western
philosopher, he is known as the “Father of Western Philosophy.” This is not only because of his influence on other significant
historical figures, but also because he re-oriented philosophy to focus on the areas studied today. He was completely dedicated
to living his philosophy, even though it cost him his life.
This tutorial investigates Socrates' life and work in four parts:
1. Socrates, Patriarch of Western Thought
2. Socrates, Seeker of Wisdom
3. The First Step on the Path to Wisdom
4. Socrates, a Martyr for Wisdom
1. Socrates, Patriarch of Western Thought
Socrates lived until the age of 70. For most of his adult life, he was a teacher of philosophy. He did not charge tuition, but his ability,
wisdom, and pedagogy attracted Athenian pupils, many of whom came from wealthy and noble families. One of these pupils was
Aristocles, better known as Plato.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 19Bust of Socrates in the Vatican Museum
Socrates taught Plato philosophy: not only how to seek wisdom, but also its importance. Plato started the Academy (and, arguably,
higher education), and laid the foundations for western philosophy (and, perhaps, theology and political science). Plato’s influence and
accomplishments were vast, but some portion the accolades he receives belongs to Socrates.
Plato also taught an important pupil: Aristotle. Aristotle was a philosopher and a scientist. He may have done more to advance science
than anyone else. He is known as the father of physics, biology, and logic, and was a major contributor to the development of western
thought. His work influenced the doctrine of the medieval Catholic Church, and was disseminated throughout the western world as a
result.
Like Plato, Aristotle's accomplishments and influence cannot be overstated. However, he could not have achieved what he did without
his teacher, Plato, and Plato's teacher, Socrates. These philosophers and their accomplishments are discussed in more detail in later
tutorials.
It is in no way an exaggeration to say that Socrates was one of the most influential people in history. Like some of the other significant
ancient thinkers, he did not produce any written work. The accounts we have of his life and teachings were primarily recorded by Plato.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 202. Socrates, Seeker of Wisdom
Socrates' historical influence has continued to this day, but it is important to understand that, during his life, he oriented philosophy in
new directions. Recall that the Pre-Socratics were given their name because their methods, and the topics they investigated, were
different than those that are the focus of contemporary philosophy. Socrates redirected philosophy to consider topics that are studied
to this day.
The Pre-Socratic philosophers primarily studied cosmology and natural philosophy, fields that were later appropriated by the sciences.
Ethics and epistemology, on the other hand, have not (and probably cannot) be appropriated by other fields of study. These were the
topics of greatest importance to Socrates. He sought wisdom. How to live according to ethical principles, and how to differentiate
knowledge from opinion, were questions that must be answered to attain true wisdom. Socrates was the first moral philosopher, and the
first epistemologist.
Epistemology
The branch of philosophy that analyzes and defends concepts of knowledge and the methodologies used to attain it
Ethics
The branch of philosophy that analyzes and defends concepts of value and thereby seeks to determine right and wrong
Though all of these thinkers investigated many areas of philosophy, the ways in which Socrates changed the direction of philosophy
can be simplified as follows:
Pre-Socratics’ Primary Focus Socrates’ Primary Focus
Key areas of philosophy Cosmology and Natural Philosophy Ethics and Epistemology
The most important philosophical questions What is real?
What is the nature of the universe?
What is knowledge?
What is right?
What is the good life and how should I live?
3. The First Step on the Path to Wisdom
How did Socrates distinguish knowledge from opinion? First, it is a distinction in belief. But secondly, the distinction is not in what you
believe, but in why you believe it. Two people can believe the same thing, but one knows why he or she believes; the other merely
believes.
What’s the difference? The answer involves the all-important philosophical question — why? If you ask someone, “why do you believe
x?”, and he or she provides a reasonable answer that is grounded in fact, that person knows x. If you ask why, and receive no answer, or
a bad answer (i.e., one that is not grounded in reason or fact), that person has an opinion about x, but does not know it..
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 21Here are some of the most common sources of bad answers:
Source Example Why it falls short of knowledge
Belief based on
falsities
I think we should keep capital
punishment because it saves money.
This is opinion, not knowledge, because it costs far more to execute
someone than to imprison him/her for life.
Belief based on
tradition/culture
I think that a certain race is inferior
because that’s what people previously
believed or that’s what my parents told
me.
This is opinion, not knowledge, because the statement is not grounded in
fact or reason.
Belief based on
false authority
I believe this about the economy
because a celebrity said so, or I
believe that about climate change
because a politician (or lobbyist) said
so.
The celebrity may very well be right, but that does not justify the belief.
This person has an opinion about climate change, rather than knowledge
on this topic. Difficult subjects require expertise, not hearsay.
Belief based on
confirmation
bias
I believe there is an afterlife because I
cannot bear to think of death as the
end.
A well-documented fact about human psychology is that we lower our
evidentiary standards when we like the conclusion. We raise them when
we dislike the conclusion. “I want x to be true, therefore, x is true” is an
invalid, and sometimes dangerous, inference.
Think of answers to “why” questions that fall into these four categories.
First, think of examples of each in politics or a national issue.
Next, think of personal examples of each (e.g., people you have interacted with in your family or on social media).
See if you can do what Socrates requires — to shift from thinking about these mistakes in others to thinking about them in
ourselves.
Think of one example of when you have defended opinions in each of these ways. Socratic wisdom requires us to be wise by
realizing that we are not wise.
4. Socrates, A Martyr for Wisdom
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 22As the previous thought experiment demonstrates, it is easier to recognize the mistakes of others than those we make. It is easier to
say than to do, to "talk the talk" than "walk the walk." One of the most important aspects of Socrates’ legacy is that he lived what he
taught, no matter the cost.
While teaching (and learning) philosophy in Athens, asking “why” questions (he referred to himself as a gadfly), Socrates irritated people,
and it got him into trouble. He was charged with corrupting the youth, and put on trial (this trial will be examined in detail in a subsequent
tutorial). Socrates presented his own defense, but did so in philosophical terms. He refused to use rhetorical tricks like the sophists,
and did not appeal to emotions (e.g., by bringing in crying family members before sentencing). He refused punishment by exile that
would have required an implicit admission of regret for his conduct, and an end of his teaching. Had he accepted exile, he would have
avoided execution.
It's unnecessary to speculate whether he was willing to die for his beliefs, or just believed that he was doomed either way. Later, his
friend Crito provided him with an opportunity to escape from prison before his execution, but Socrates did not take it because he
believed that it would be morally wrong for him to do so.
It may be tempting to reason as Crito did and point out how much good Socrates could have done if he had escaped and resumed
teaching. However, if Socrates had, in opposition to his teachings, escaped, would we be reading about him today? Would he have
inspired Plato to pursue philosophy? Would we revere him for acting in a self-serving way, instead of doing what he believed was right?
We remember and revere Socrates because he was one of the few who lived, and died, according to his beliefs.
In this tutorial, we introduced Socrates, the patriarch of western philosophy, and compared his methodologies to the philosophers
who preceded him. His intellectual offspring, including Plato and Aristotle, were incalculably important to the development of
western civilization. Socrates reinvented philosophy as the discipline that it is today. He taught by example, and lived what he
taught even though it cost him his life.
Source: Bust of Socrates, PD, https://en.wikipedia.org/wiki/Socrates#/media/File:Socrates_Pio-Clementino_Inv314.jpg
TERMS TO KNOW
Epistemology
The branch of philosophy that analyzes and defends concepts of knowledge and the methodologies that attain it
Ethics
The branch of philosophy that analyzes and defends concepts of value and thereby seeks to determine right and wrong
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 23The Socratic Approach
by Sophia Tutorial
Socrates, the father of western philosophy, used different approaches to discover the truth, depending on whether a situation
involved opposing viewpoints, or students who wanted to learn from him. His way of teaching continues to influence the manner in
which philosophy is taught today, because it is a way that leads to understanding.
This tutorial investigates the Socratic approach in three parts:
1. The Character of Socrates
2. Dialectic
3. The Socratic Method
1. The Character of Socrates
Socrates was a man of virtue. He is remembered and revered because he lived according to his principles, which he believed were
correct. His life was guided by what sound reasoning led him to conclude was right. He was a man of keen intellect and upstanding moral
character.
Socrates’ life was completely involved in the pursuit of philosophy, truth, and wisdom. What he did not know, he sought to discover. The
Symposium describes Socrates standing outside a building before entering a party that was being held there, thinking about something
that had been puzzling him. His extreme dedication to learning led him to become a teacher. Although he was an excellent instructor, he
did not charge his students for the lessons they received. He shared wisdom with all who sought it.
Socrates dedicated his life (and death) to doing what he thought was right, to his quest for wisdom and ethics. His final moments are
recorded in a dialogue called the Phaedo, which will be covered in a subsequent tutorial. The last line of the Phaedo summarizes how he
is regarded by those who knew him: “Such was the end…of our friend; concerning whom I may truly say, that of all the men of his time
whom I have known, he was the wisest and justest and best.”
2. Dialectic
Socrates sought wisdom through philosophy. He believed that philosophy was best pursued by a method (carried on by Plato) called
dialectic.
Dialectic
A discourse between two or more people of opposing viewpoints, the goal of which is to discover truth through reasoning
Dialectic is a somewhat more noble endeavor than debate. The goal of a debate is to win — to use arguments in a way that enables your
side to prevail. (The skill used to win debates is rhetoric.) Winning, however, is not the goal of dialectic.
Dialectic is used to find the truth. When opposing viewpoints are involved, one is wrong, and the other is right. It is the dialectician's job
to determine which is which. This is a philosophical endeavor: not only because philosophy pursues truth and seeks to separate
knowledge from opinion, but also because of the importance of logic and reasoning in dialectic.
Unlike the process of rhetorical debate, only good reasoning prevails in philosophical dialectic. Since logic, like mathematics, is
universal and dispassionate, when the truth is discovered, both sides in a dialectic can, should, and do recognize it. Since the emphasis
is on truth and reason, bias, emotion, upbringing and worldview are set aside. This makes dialectic objective process, motivated by a
genuine desire for truth on all sides.
Imagine contemporary political debates being conducted in this way. If two political opponents were united in a search for truth, they
would engage in genuine, open-minded inquiry as to what is the best course of action for their country, instead of the familiar quest for
personal advantage and victory.
If this seems unrealistic, focus on your own experience.
Consider whether you have ever had a discussion, perhaps with a friend or sibling, that resembled a dialectic. What influenced the
way in which this discussion took place? First and foremost, respect. You didn’t assume the worst about the person with whom you
were chatting. You did not immediately dismiss his/her position as wrong. Also, since you did not dismiss his/her position, you
questioned your own view. The discussion was a dialectic because you disagreed respectfully, and it was fruitful because you held
your own view as being subject to questioning, rather than as inviolable. Neither of you tried to prove the other wrong. Together, you
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 24were simply searching what is true.
Socrates conducted all of his inquiries in this way, and did not assume that any of his beliefs were inviolable. When following this
standard, it does not matter whether you respect the person with whom you disagree, or whether you respect his or her point of view.
All that matters is that you respect truth. If you do, you will ensure that all of your beliefs are true (or not) by questioning them. You will
care enough about truth to share it with others.
3. The Socratic Method
Dialectic is used by those who hold opposing viewpoints to dispassionately search for truth. Although the opponents initially disagree,
they do so respectfully. A different method is required when one who knows a truth wants to teach it to others. When teaching, Socrates
used the Socratic Method.
Socratic Method
The pedagogical method of teaching by asking questions to which the student knows the answers, thereby leading them, step by
step, to the truth being taught
Suppose a teacher has taught students how to multiply using flashcards, and is moving on to more complicated multiplication problems.
Example of the Socratic Method
Teacher: Do you know what 8 times 72 is?
Student: No, I don’t.
Teacher: Do you know what 8 times 2 is?
Student: Of course, it’s 16.
Teacher: Do you know what 8 times 3 is?
Student: Of course, it’s 24.
Teacher: And what about 8 times 5?
Student: It’s 40.
Teacher: And 3 plus 2?
Student: 5, of course.
Teacher: And 3 times 8 plus 2 times 8.
Student: …40.
Teacher: So to compute 5 times 8, we can add two numbers that equal 5, eight times, then add their products?
Student: It seems so.
Teacher: Does it work with 1 times 8 and 4 times 8?
Student: Yes!
Teacher: It should always work, since we know that multiplication is a complex form of addition. How might we multiply 72
times 8?
Student: Multiply some numbers that add to 72 by 8 and add their products.
Teacher: And which numbers might be easier?
Student: The ones I know.
Teacher: Good, so you already know 8 times 2.
Student: Yes, 16.
Teacher: What would we have to add to 2 to get 72?
Student: 70.
Teacher: What is 8 times 70?
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 25Student: I don’t know.
Teacher: What is 8 times 7?
Student: 56.
Teacher: So if 70 is seven tens, isn’t 8 times 70, 56 tens?
Student: It must be!
Teacher: So what is 8 times 70?
Student: 560!
Teacher: And what is 8 times 72?
Student: 576!!!
In this example, the teacher has taught the student something new. This new knowledge will be the basis for solving longer
multiplication problems. The teacher demonstrated how new knowledge can be achieved, starting from what the student already knows.
This teaching method has two advantages: Student who have accomplished some basic learning don't need to "reinvent the wheel" when
attempting to answer more difficult questions. They can leverage what they already know.
Additionally (and more importantly, with respect to philosophy, and to life), by beginning with what he or she already knows, and
comprehending why the answer is what it is, students understand that an answer is true. This is the advantage of the Socratic Method. It
is still used in schools, from the elementary through the doctoral level. It is an effective tool for teaching understanding, because it leads
the student to knowledge, instead of dictating it. It shows students how to achieve knowledge on their own, rather than simply giving
them a collection of facts.
Socrates is not only known for his constant quest for wisdom, and his rigorous commitment to right living, but also for his teaching
method. He believed that truth and wisdom should be shared, not hoarded. He used dialectic to discover truth, and the Socratic
Method to help others find it.
Source: Quotation from the Phaedo retrieved from Project Gutenberg: https://www.gutenberg.org/files/1658/1658-h/1658-h.htm
TERMS TO KNOW
Dialectic
A discourse between two or more people of opposing viewpoints, the ultimate goal of which is to discover the truth of the
matter through reasoning
Socratic Method
The pedagogical method of teaching by asking questions to which the student knows the answer and thereby leading them to
the truth being conveyed
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 26Introducing Arguments
by Sophia Tutorial
Philosophy uses argumentation to attain truth. To learn how to evaluate arguments, we must first define argument.
This tutorial examines argumentation and its role in philosophy, in two parts:
1. What is an Argument?
2. The Basics of Evaluation
1. What is an Argument?
In philosophy, arguments provide justification for proposed positions. When successful, an argument provides a reason (or reasons) to
believe that something is true. Aristotle provided the following example of a simple argument:
All men are mortal.
Socrates is a man.
Therefore, Socrates is mortal.
Think of the argument as an equation. The first two statements (both of which are called premises) combine to yield the third (the
conclusion). Hence, if we know the two premises, we also know the conclusion.
Premise
A statement presented in an argument for acceptance or rejection without support, but that is intended to support a conclusion
Conclusion
A statement that is intended to be supported by the premises of an argument
As we will see, the argument above provides justification for thinking that Socrates is mortal. To do so, it must accomplish two things.
Every argument makes both a factual claim and an inferential claim.
Factual Claim
A claim that some fact (or facts) corresponds to reality
Inferential Claim
A claim that the premises support the conclusion
Note that we are currently defining what makes an argument, not what makes a good argument. It is important to understand that claiming
that a fact corresponds to reality does not guarantee that it does (“Socrates was a fire-breathing lizard who ravaged the streets of
Tokyo” is a factual claim), and claiming that premises support a conclusion does not mean that they do. These two claims must be
evaluated to determine the success of an argument, as will be discussed below. An argument is defined as follows:
Argument
A group of statements containing both a factual claim or claims and an inferential claim or claims
An argument must contain both types of claims; and all groups of statements that contain both types of claims are arguments. Regarding
the statements provided above, in order for them to form an argument, they (together) must make a factual claim or claims.
See if you can find the factual claims in Aristotle's argument, above.
Factual claims are submitted as true, but without support. The argument itself (i.e., the three sentences provided above) includes no
reasons to support the claims made in it.
The two factual claims in this argument are “All men are mortal” and “Socrates is a man”. Notice that they are presented as givens with
no support or reason to believe them. However, “Socrates is mortal” is not a factual claim. Why not? Think in terms of support. Does
Aristotle's argument (just those three sentences, not your beliefs) provide any reason to believe that “All men are mortal” is true? It is
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 27simply an assertion about the way the world is.
The same can be said about “Socrates is a man.” However, we are provided with a reason to believe that Socrates is mortal: it follows
from the two claims which precede it. In an argument, a factual claim is the same as a premise.
See if you can find the inferential claim.
Although a premise is the same as a factual claim, a conclusion is not the same as an inferential claim. Why not? Look at the definition
of an inferential claim. Since the inferential claim links the premises and the conclusion, it cannot be synonymous with either.
In this argument, the inferential claim is the word, “therefore.” An inferential claim is the assertion that the premises support the
conclusion. That’s what “therefore” does in this argument. It tells you that an inference is being made, that something has been
supported rather than simply presented. However, not every argument uses “therefore.” It's best to think of the parts of an argument in
terms of how they support (the premises) and supported (the conclusion). The inferential claim asserts that such support is available.
All men are mortal. Premise/Factual Claim
Socrates is a man. Premise/Factual Claim
Therefore, Inferential Claim
Socrates is mortal. Conclusion
Identify the factual and inferential claims in the following argument by first identifying the premises and the conclusion:
No dogs are crocodiles, because all dogs are mammals and no crocodiles are mammals.
The conclusion is not always at the end.
Does “because” indicate that something is supported or supporting?
In the argument above, “all dogs are mammals” and “no crocodiles are mammals” are the premises and are, therefore, factual claims.
The conclusion is “no dogs are crocodiles”, since it follows from the two premises. What is the inferential claim? In this argument, it is
implicit. The word, “because” indicates that the latter two statements are premises which support the prior statement. As a result, the
inferential claim would be something like, “the fact that no dogs are crocodiles follows from the facts that all dogs are mammals and no
crocodiles are mammals.” It is important to understand that not every argument will include inferential indicators. Readers must
recognize what supports what.
All dogs are mammals. Premise/Factual Claim
No crocodiles are mammals. Premise/Factual Claim
No dogs are crocodiles. Conclusion
The fact that no dogs are crocodiles follows from the facts that all dogs are mammals and no crocodiles are
mammals.
Inferential Claim
2. The Basics of Evaluation
As mentioned above, every argument makes both a factual and an inferential claim. It must do both of these things well in order to
succeed (i.e., to provide reason to believe the conclusion). This means that we must evaluate both the factual and inferential claims,
separately. The inferential claim must be evaluated first, for two reasons: 1) it is the fastest way to evaluate an argument; 2) if the
inference is bad, the facts don't matter.
Consider the following argument:
There are 21,354,751 people in Ohio. Therefore, there more than 10,000,000 people in Ohio.
It is simple to check the inference — that 21,354,751 is greater than 10,000,000 — but checking the fact would require more research.
We’d have to determine whether there are truly 21,354,751 people in Ohio, a time-consuming task. However, there is a much more
important reason to check the inference first. Suppose someone made the following argument:
Kim Kardashian wore a purple hat today. Therefore, there will be a blizzard in the Northeast tomorrow.
Suppose you lived in the Northeast, and were planning your activities for next few days. If someone made this argument to you, would
you check the color of Kim Kardashian’s hat to see whether you need to change your plans? Probably not because if the inference is
bad, the facts do not matter. Even if the hat claim was true
(i.e., Kim Kardashian wore a purple hat), it provides no reason to believe the
conclusion (i.e., that there will be a blizzard). The inferential claim of the argument must be evaluated first.
When evaluating an inference, the question is never, “Are the premises true?” Instead, questions of inference ask, “Assuming the
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 28premises are true, do they support the conclusion?” Consider this argument:
All Republicans are space aliens.
Barack Obama is a Republican.
Therefore, Barack Obama is a space alien.
Obviously, there is something wrong with this argument. However, let’s check the inference. We ask, “Assuming it's true that all
Republicans are space aliens and Barack Obama is a Republican, would this support the conclusion that Barack Obama is a space alien?”
The answer is yes. This inference here is sound (notice that it is the same inference used by Aristotle in his argument above). The
problem with this argument is the factual claim.
To test the factual claim, ask, “Are all of the premises true?” Aristotle's argument contains a good inferential claim and a good factual
claim. The Obama argument includes a good inferential claim but a bad factual claim. See if you can provide the proper (but separate)
evaluations of the inferential and factual claims of the following three arguments:
LeBron James is over five feet tall. (Premise)
Therefore, LeBron James is over seven feet tall. (Conclusion)
The inference in this argument is unsound. From the fact that a person is over five feet tall, it does not follow that he or she is over
seven feet tall, (or that he or she is over six feet tall). However, the factual claim is sound, because LeBron James is over five feet tall
(note that the factual claim verifies the premises, not the conclusion).
LeBron James is over twelve feet tall. (Premise)
Therefore, Lebron James is over seven feet tall. (Conclusion)
We can determine whether the inference is sound by asking, “Assuming that it is true that LeBron James is over twelve feet tall, does it
follow that he is over seven feet tall?" In this case, the answer is "yes," so the inference is a good one. However, since he is not over
twelve feet tall, the factual claim falls short.
LeBron James is over five feet tall. (Premise)
Therefore, LeBron James is over six feet tall. (Conclusion)
This argument can be evaluated in the same way as the first argument in this example. Even though LeBron James is over six feet tall, it
does not follow from the fact that he is over five feet tall. Therefore, even if you believe that he is over six feet tall, this argument
provides no support for that belief.
Why bother trying to understand philosophical arguments? Whether or not you realize it, you make arguments in everyday life. Even
something as simple as this qualifies as an argument: “When it is cold outside, I wear my jacket. Today it is cold outside. Therefore I
should wear my jacket.” Understanding and evaluating arguments are useful abilities. See if you can recognize examples of arguments
in your day-to-day life.
Philosophical analysis is not required to evaluate the argument involving your jacket. As we begin to realize when we (or others) are
making an argument, we will also begin to evaluate them: to determine when their conclusions follow from their premises, and when
they do not.
Suppose someone told you, “We should use capital punishment because it is cheaper than imprisonment for life.” They have made an
argument. They only support their conclusion that we should use capital punishment by claiming that it is cheaper. If we were only
interested in financial costs, this would be a good inferential claim. However, since it costs more money to execute someone than to
imprison them for life, it is a bad factual claim. This could be the focus of further discussion of the issue.
Argumentation is the way that philosophy seeks truth. Understanding how to evaluate an argument is an important skill. Every
argument makes both a factual and an inferential claim. In order to be successful (i.e., to provide reason to accept the conclusion),
it must do both well. Therefore, every argument requires two independent evaluations.
TERMS TO KNOW
Argument
A group of statements containing both a factual claim or claims and an inferential claim or claims
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 29Conclusion
A statement that is intended to be supported by the premises of an argument
Factual Claim
A claim that some fact or facts obtained in the world is true
Premise
A statement presented for acceptance or rejection in an argument (without support) but that is intended to support a conclusion
Inferential Claim
A claim that the premises support the conclusion
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 30Evaluation and Analysis of Arguments
by Sophia Tutorial
Every argument must make both an inferential and a factual claim. In order to succeed, an argument must do both things well, but
each must be evaluated separately. However, before we can precisely evaluate an argument, we must know whether it is
deductive or inductive. Knowing this tells us how strict the standards are for the inference, and enables us evaluate each argument
accordingly.
This tutorial examines the evaluation and analysis of arguments in three parts:
1. Deduction and Induction
2. Evaluating Deductive Arguments
3. Evaluating Inductive Arguments
1. Deduction and Induction
Consider this argument: “People are under seven feet tall, so the next person to come through the door will be under seven feet tall.”
Is this reasonable or unreasonable? The answer depends on what was intended. If the intention was to assert that “All people are under
seven feet tall, so it is guaranteed that the next person to come through the door will be under seven feet tall,” then this is a foolish
argument. However, if the intended meaning was “People are generally under seven feet tall, so the next person to come through the
door will likely be under seven feet tall,” the argument is reasonable. Note that these two different evaluations depend on whether the
claim was about certainty or likelihood.
These considerations are closely linked to the concepts of deductive and inductive arguments. Reviewing the terms below will help
you to understand these concepts.
Argument
A group of statements containing both a factual claim (or claims), and an inferential claim (or claims)
Factual Claim
A claim that some fact (or facts) corresponds to reality
Inferential Claim
A claim that the premises support the conclusion
Deductive
A type of argument in which the inferential claim is a claim of logical certainty
Logical Certainty
A state in which it is inconceivable that the conclusion is not supported by the premises
Inductive
An argument in which the inferential claim is of less than logical certainty
Premise
A statement presented for acceptance or rejection in an argument without support, but that is intended to support a conclusion
Conclusion
A statement that is intended to be supported by the premises of an argument
You cannot properly evaluate a sophisticated argument without first identifying whether it is deductive or inductive. This is so because
the evaluations are different. All evaluation is based on kind.
When someone asks, “Is 6’10” inches tall?” the only proper answer is, “It depends on what kind of thing you're asking
about” because “tall” is an evaluative term. Is 6’10” tall? For a human, yes. For a giraffe, no. In a similar way, if someone asks, “is this a
good inference,” the only proper answer is, “it depends on the kind of inference.” And as the first argument in this section
demonstrates, we evaluate differently depending on whether we are trying to achieve logical certainty or probability.
With respect to the original example, a statement that “People are generally under seven feet tall, so the next person to come through
the door will likely be under seven feet tall” indicates that most people who pass through the door will be shorter than seven feet tall,
but some of them may not.
People are generally under 7 feet tall. Premise/Factual Claim
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 31So, Inferential Claim
the next person to come through the door will likely be under 7 feet tall. Conclusion
Is this argument intending logical certainty? Does it assert that, because people are usually under seven feet tall, it is not possible that a
person over seven feet tall will walk through the door? It does not. Therefore, this is an inductive argument (a generalization) that does
not convey logical certainty, only probability. We must evaluate it accordingly.
Now consider the following argument:
The sun has risen every day for the past billion years.
Our current understanding of the laws of astrophysics tell us that this phenomenon should continue.
Therefore, the sun will rise tomorrow.
The sun has risen every day for the past billion years. Premise/Factual Claim
Our current understanding of the laws of astrophysics tell us that this phenomenon should continue. Premise/Factual Claim
Therefore, Inferential Claim
the sun will rise tomorrow. Conclusion
Before we evaluate this argument, we must first determine whether it is deductive or inductive: whether the conclusion is intended to
follow with logical certainty. Can you imagine not only that the premises are true (which should not be difficult because they are true),
but also the conclusion being false
(at the same time)? You can.
Imagine that a meteor obliterates Earth tonight, or a religious apocalypse occurs, or the sun enters the "red giant" phase of its life-cycle
and consumes Mercury, Venus, and Earth. In all of these cases the conclusion will not be reached.
Based on what we have just learned, this argument is inductive because it makes no claim to logical certainty. However, certainty that the
sun will rise tomorrow is inductive certainty. This indicates two things: First, there is nothing wrong with induction, just because it is
induction. It is not unreasonable to believe that the sun will rise tomorrow. (Problems generally arise only when people evaluate
induction deductively, or vice versa.) Second, the vast majority of our reasoning is inductive, so the vast majority of our beliefs are
justified inductively.
Consider some more of your beliefs that are based on induction: that your parents really are your parents; that Julius Caesar lived; that
summer is warm and winter is cold; that your arm won’t fall off in the next 30 seconds; etc.
Consider the arguments that you would use to justify these beliefs, and why none of them achieve logical certainty.
But if the majority of our reasoning is inductive, what is deduction? Note that induction always involves cause and effect, and the world, in
making inferences. Deduction involves neither of these. The inferences of deduction rely on definition and form.
LeBron James is over six feet tall. Therefore, he is over five feet tall.
It would be incorrect to assert that the fact that LeBron James is over six feet tall causes him to be over five feet tall. Instead, it is part of
the definition of being over six feet tall, an entailment. Note that this type of argument does attain logical certainty, but remember that
logical certainty is about the relationship between the premises and the conclusion, not just about the conclusion. Therefore, the
question is not "can I imagine LeBron James not being over five feet tall?" (you can). Instead, it is "can I imagine him being over six feet
tall" and "not being over five feet tall?" No, this is impossible. This argument attains logical certainty because it is about definitions, rather
than the world. Other common deductive arguments are categorical (from the definitions of “all”, “no”, and “some”), hypothetical (from
the definition of “if…then”) and disjunctive (from the meaning of “either/or”).
2. Evaluating Deductive Arguments
Once we have determined whether an argument is deductive or inductive, the evaluation follows the pattern discussed in previous
tutorials, but with more precision. We still ask the inferential question first: “Assuming all premises are true, do they support the
conclusion?” However, now we understand the notion of support deductively, that is, as guaranteeing or logically entailing the
conclusion. When considering an inferential claim deductively, we label the argument as valid or invalid.
Valid
A deductive argument in which the premise(s) logically guarantee their conclusion
Invalid
A deductive argument in which the premise(s) do not logically guarantee their conclusion
A valid argument must have good deductive structure; an invalid argument has bad deductive structure and that is all. Whether the
premises are true or false (i.e., whether the factual claim is a good one or not), does not have anything to do with the argument's validity.
Consider this categorical syllogism:
All Republicans are space aliens.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 32Barack Obama is a Republican.
Therefore, Barack Obama is a space alien.
This argument is valid. We ask, “If it is true that all Republicans are space aliens and it is true that Barack Obama is a Republican, does
that guarantee that Barack Obama is a space alien?” The answer is yes. We must establish an argument's validity (or lack of it) before
checking the factual claims. Now try to evaluate these three arguments (the solutions are provided below):
1. LeBron James is over five feet tall.
Therefore, LeBron James is over seven feet tall.
2. LeBron James is over twelve feet tall.
Therefore, Lebron James is over seven feet tall.
3. LeBron James is over five feet tall.
Therefore, LeBron James is over six feet tall.
Solutions
1. Ask yourself, if it is true that Lebron James is over five feet tall, does it guarantee that he is over seven feet tall?
The answer is “no”, so this argument is invalid.
2. Ask yourself, if it is true that Lebron James is over twelve feet tall, does it guarantee that he is over seven feet tall?
The answer is “yes”, so this is argument is valid.
3. Ask yourself, if it is true that Lebron James is over five feet tall, does it guarantee that he is over six feet tall.
The answer is no, so this is an invalid argument.
Whether or not the premises or conclusion are true does not enter into the determination of validity. However, validity is important
because it means that the premises guarantee the conclusion. When validity has been established, we simply have to decide whether
we accept the premises. If the argument is valid, we only need to ask a question of fact: “Are all of the premises true?” This will
determine the soundness or unsoundness of the argument.
Sound
A deductively valid argument in which all premises are true
Unsound
A deductive argument that is not sound
Note that a sound argument must be valid. Think of a sound argument as a good deductive argument. Since an argument must do two
things, a sound argument is a deductive argument that does both of them well. It makes a good (i.e., valid) inferential claim and a good
factual claim. As a result, a sound argument has a conclusion that is guaranteed, that cannot be resisted. That’s why soundness matters.
An unsound argument is a bad deductive argument. It falls short of soundness by either making a bad (i.e., invalid) inferential claim, or by
containing at least one false premise. It does not provide adequate reason to accept its conclusion. Invalid arguments — and valid
arguments with at least one false premise — are unsound. Each of these types of argument gives reason to not accept its conclusion.
Note that if one wants to reject the conclusion of a valid argument, one must reject a premise. Try to evaluate the following argument:
If there is gratuitous evil, there is no God.
There is gratuitous evil.
Ergo, there is no God.
This is a deductively valid argument known as the Logical Problem of Evil. In order to reject the conclusion, that is, to maintain that there
is a God, we must show that a premise is false or (as is more generally the case in a philosophical debate), that there is better reason to
believe that the premise is false than to believe it is true. Because this argument is valid, we are left with no other options if we want to
reject the conclusion.
3. Evaluating Inductive Arguments
With a few minor changes, everything that applies to deductive arguments also applies to inductive arguments. The inferential question
must be asked first: “Assuming all premises are true, do they support the conclusion?” However, in the case of inductive arguments, the
notion of support is understood inductively, that is, as making probable the conclusion. When considering an inferential claim
inductively, we say that the argument is strong or weak.
Strong
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 33An inductive argument in which the premises render the conclusion probable
Weak
An inductive argument in which the premises do not render the conclusion probable
Hence, a strong argument is has good inductive structure; a weak argument has bad inductive structure and that is all. Whether the
premises are true or false does not have anything to do with an argument's strength. Consider the following argument:
The overwhelming majority of climate scientists believe that there is climate change caused by humans. Therefore, there is climate
change caused by humans.
This is an inductive argument called an "argument from authority." To determine its strength, the question to be asked isn’t whether
scientists believe such a thing but, if they do believe such a thing, does that make the conclusion probable? In this case, the answer is
yes, so the argument is strong.
Arguments from authority are some of the strongest we have. Consider the following things you believe, that are based on authority:
You’ve never met Julius Caesar, but you believe he existed
You’ve never been to Uranus, but you believe it exists
You cannot predict the weather, but you believe the meteorologist’s prediction
The fact that authorities are occasionally wrong doesn’t make the argument weak, it makes it inductive.
Now consider three more inductive arguments and see if you can determine their strength or weakness:
Kim Kardashian says X about healthcare.
Therefore, X about healthcare.
“X” doesn’t need to be filled in because that is only relevant to the factual claim.
The answer is that this argument is weak. Kim Kardashian may be an authority about some things (maybe fashion), but she is not an
authority on healthcare, even if you agree with her. Agreeing with her means that you accept the conclusion, not that the argument
establishes it. If the only reason we have to believe X about healthcare is that Kim Kardashian said X, that is not enough for us to believe
that X is true.
The Browns have played terribly so far this season.
Therefore, they will lose this week.
This argument is strong (it is a prediction, in which we use the past to make an assertion about the future). If it is true that the Browns
have played terribly all season, we might bet (perhaps literally) that they will lose this week. It is a good bet. If we lose our bet, it’s
because induction involves chance, not because our bet is irrational.
Some people got sick from eating at the restaurant.
Therefore, I will get sick from eating there.
This argument is weak because the conclusion is possible, not probable. Because induction deals in probability, it also involves scaling,
because it makes sense to talk about stronger arguments and weaker arguments. This is unlike deduction, in which premises establish
their conclusion with either 100% or 0% certainty. For example, both the conclusion that the sun will rise tomorrow, and that the Browns
will lose this week, are supported by strong predictions, but we should be more certain of one than the other.
After we have determined strength, we must check the factual claim and ask, “Are all of the premises true?” to establish whether the
final evaluation is cogent or uncogent.
Cogent
An inductively strong argument in which all premises are true
Uncogent
An inductive argument that is not cogent
Note that a cogent argument must be strong. Cogent arguments are good inductive arguments. Since an argument must do two things, a
cogent argument is an inductive argument that does both of them well. It makes a good (i.e., strong) inferential claim and a good factual
claim. Therefore, a cogent argument provides us with reason to believe that its conclusion is probably true (how probable is
proportionate to how strong).
An uncogent argument is a bad inductive argument. It falls short of cogency by either making a bad (i.e., weak) inferential claim, or by
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 34containing at least one false premise. It does not provide adequate reason to accept its conclusion. Therefore, weak arguments, and
strong arguments with at least one false premise, are uncogent. Either of them gives us reason to not accept their conclusions.
The flow chart below is a useful tool to which you can refer when evaluating arguments.
Before we evaluate an argument, we must first determine whether it attempts to establish its conclusion using logical certainty,
which (therefore) makes it deductive, or something less, which makes it inductive. Once we have determined this, we can check
the inferential claims in a more refined way, using the concepts of valid and invalid for deduction, and strong and weak for
induction. We then consider the factual claim to arrive at a final evaluation of the argument: sound and unsound for deductive
arguments; cogent and uncogent for inductive arguments.
TERMS TO KNOW
Argument
A group of statements containing both a factual claim or claims and an inferential claim or claims
Conclusion
A statement that is intended to be supported by the premises of an argument
Deductive Argument
An argument whose inferential claim is a claim of logical certainty
Factual Claim
A claim that some fact or facts obtained in the world is true
Inductive Argument
An argument whose inferential claim is a claim less than logical certainty
Inferential Claim
A claim that the premises support the conclusion
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 35Logical Certainty
Inconceivable that the conclusion is not entailed by the premises
Premise
A statement presented for acceptance of rejection in an argument without support but that is intended to support a conclusion
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 36Evaluating an Argument in Action
by Sophia Tutorial
In this tutorial, we will use what we’ve learned about arguments to evaluate an argument. We will review the types of arguments
and related terminology, and evaluate several sample arguments in context.
This tutorial considers the evaluation of arguments in three parts:
1. Deduction and Induction
2. Evaluating Inductive and Deductive Arguments
3. Practice Evaluating an Argument
1. Deduction and Induction
Recall the definitions of inductive and deductive, as they relate to arguments.
Deductive
An argument in which the inferential claim is a claim of logical certainty
Inductive
An argument in which the inferential claim is a claim of less than logical certainty
When determining whether an argument is inductive or deductive, ask this question: “Is the inferential claim a claim of logical certainty?”
If the answer is yes, the argument is deductive. If the answer is no, the argument is inductive.
You cannot properly evaluate a sophisticated argument without first identifying whether it is deductive or inductive.
2. Evaluating Inductive and Deductive Arguments
Once you have determined whether an argument is inductive or deductive, ask this question: “Assuming all premises are true, do they
support the conclusion?” For deductive arguments, is it possible for all of the premises to be true, and the conclusion false? For
inductive arguments, is it probable for all premises to be true and the conclusion false? You are essentially trying to determine whether
the premises guarantee the conclusion, or not.
For deductive arguments, we use the terms valid and invalid. For inductive arguments we use the terms strong and weak.
Valid
A deductive argument in which the premise(s) logically guarantee their conclusion
Invalid
A deductive argument in which the premise(s) do not logically guarantee their conclusion
Strong
An inductive argument in which the premises render the conclusion probable
Weak
An inductive argument in which the premises do not render the conclusion probable
A valid argument has good deductive structure, and an invalid argument has bad deductive structure and that is all. Whether the premises
are true or false (i.e., whether the factual claim is a good one or not), does not have anything to do with validity. Likewise, a strong
argument is one that has good inductive structure; a weak one has bad inductive structure and that is all. Whether the premises are true
or false does not have anything to do with strength.
Here are some examples:
Sample Argument Deductive
or
Inductive?
Valid, Invalid, Strong or Weak?
All Republicans are space Deductive. Valid. Ask yourself, “If it is true that all Republicans are space aliens, and it is true that
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 37aliens. Barack Obama is a
Republican. Therefore,
Barack Obama is a space
alien.
Barack Obama is a Republican, does that guarantee that Barack Obama is a space alien?”
The answer is yes. The argument is valid.
LeBron James is over five
feet tall. Therefore, LeBron
James is over seven feet
tall.
Deductive. Invalid. Ask yourself, "If it is true that Lebron James is over five feet tall, does it guarantee
that he is over seven feet tall?" The answer is “no”, so this is an invalid argument.
Some people got sick
eating at the restaurant.
Therefore, I will get sick
eating there.
Inductive. Weak. This argument is weak because the conclusion is possible, but it is not probable.
The Browns have played
terribly all season.
Therefore, they will lose
this week.
Inductive. Strong. Ask yourself, "Is it probable for all of the premises to be true and the conclusion to
be false?" The answer is no, so it is a strong argument. If it was true that the Browns have
played terribly all season, I would bet they would lose. it is a good bet. If I lose my bet, it's
because induction involves chance, not because I have done something irrational.
The last step in evaluating an argument is to check the factual claims. Whether the premises or conclusion are true or not does not enter
into the determination of validity (deductive arguments) or strength (inductive arguments). However, validity and strength are important
because they indicate that the premises lead to the conclusion.
After that, we simply have to decide whether we accept the premises. If the argument has been determined to be valid or strong, we
simply need to ask our question of fact: “Are all of the premises true?” This will determine whether a valid argument is sound or
unsound (deductive arguments), or a strong argument is cogent or uncogent (inductive arguments).
Sound
A deductively valid argument in which all premises are true
Unsound
A deductive argument that is not sound
Cogent
An inductively strong argument in which all premises are true
Uncogent
An inductive argument that is not cogent
The image below can be helpful when evaluating an argument:
Evaluating an Argument
3. Practice Evaluating an Argument
Let’s apply what you’ve learned to a few examples. In these examples evaluate the argument by determining if it is:
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 381. Inductive or deductive
2. Valid, invalid, weak, or strong
3. Sound, unsound, cogent, or uncogent
Evaluate the following two arguments by first determining whether they are deductive or inductive, then evaluating their inferential
claim and, finally, evaluating their factual claims.
If you are in Texas, you are in the United States. You are in the United States. Therefore, you are in Texas
This is a deductive argument. The conclusion follows from the meaning of an if-then statement, not from facts about geography. Note
that the argument includes nothing related to causation. It is about definition. Next, evaluate the inferential claim: does the inference
attain logical certainty, or can you imagine the premises being true, and the conclusion false? For most students, both premises are true
and the conclusion is false (e.g., if you are in Michigan). This means that it is invalid, because even if you happen to be in Texas, that is
not enta
iled by the premises. Since it is invalid, it must be unsound because it is not a satisfactory deductive argument.
In the past, when I have had more than five drinks, I have become ill. Therefore, if I have ten drinks, I will become
extremely ill
This argument is inductive because it relies on cause and effect (it is a prediction, because it is forecasting a similar cause and effect in
the future). When we ask our inference question, we see that the conclusion is likely, given the premise. Therefore, the argument is
strong. If the single premise is true, it is cogent; otherwise, it is uncogent.
All birds can fly. Polly is a bird. Therefore, Polly can fly
This is a deductive argument because it proceeds from the definition of “all” rather than facts about biology. Next, evaluate the
inferential claim. Can you imagine an instance in which the premises are true, but the conclusion is false? The answer is no, therefore,
this argument is valid. Finally, evaluate the factual claims. While “Polly is a bird” might be true, the statement that “all birds can fly” is not.
There are several species of flightless birds (penguins, ostriches, kiwis, etc.). Therefore, this argument is unsound.
Before evaluating an argument, we must determine whether it tries to establish its conclusion using logical certainty (which makes
it a deductive argument), or something less (which makes it an inductive argument). Once we have made this determination, we
check the inferential claim in a more refined way, using the concepts of valid and invalid for deduction, and strong and weak for
induction. We then consider the factual claim to render a final evaluation of the argument: sound or unsound for deductive
arguments; cogent or uncogent for inductive arguments.
TERMS TO KNOW
Cogent
An inductively strong argument with all true premises
Deductive
An argument whose inferential claim is a claim of logical certainty
Inductive
An argument whose inferential claim is a claim less than logical certainty
Invalid
A deductive argument in which the premise(s) do not logically guarantee their conclusion
Sound
A deductively valid argument with all true premises
Strong
An inductive argument in which the premises render the conclusion probable
Uncogent
An inductive argument that is not cogent
Unsound
A deductive argument that is not sound
Valid
A deductive argument whose premise(s) logically guarantee their conclusion
Weak
An inductive argument in which the premises do not render the conclusion probable
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 39© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 40The Apology: A Defense of Philosophy
by Sophia Tutorial
The Apology, a mistranslation of apologia, Greek for "defense," is a transcript of the defense Socrates' presented at his trial on
charges of "denying the gods" and, more seriously, "corrupting the youth of Athens." As Socrates pointed out, however, his real
crimes were unpopularity, and making enemies of the wrong people. Since his practice of philosophy led to the charges against
him, Socrates sought to prove his innocence by demonstrating that philosophy is a right and worthwhile pursuit. He made concise
arguments to support his claim that he did not corrupt the youth of Athens, and let his accusers know that he did not fear death.
This tutorial examines The Apology in four parts:
1. The Apology
2. Socrates’ Argued That He Did Not Corrupt the Youth
3. The Unexamined Life Is Not Worth Living
4. Death Is Nothing or Something
1. The Apology
The Apology takes the form of a long, complex dialogue. It is Plato’s account of the defense Socrates' presented at his trial. Remember,
Socrates produced no written work. Most accounts of his life and philosophy were recorded by Plato.
The Apology begins after the prosecution presented its case, as Socrates offered his defense. He started by distinguishing between
the “old charges” and the “new charges.” By “new charges,” he meant the official charges: denying the gods and corrupting the youth of
Athens. But what were the “old charges?”
To grasp their significance, understand that Athens, at that time, was a direct democracy with no constitution. This resulted in mob rule,
or rule by the bottom 51%. If someone was sufficiently unpopular, an enemy could make up charges against him and demand a court
hearing. This is what happened to Socrates. The “old charges” were, collectively, an attack on his reputation as a philosopher, teacher
and honorable man.
Socrates’ unpopularity, for the most part, was the result of a peculiar occurrence. One of his friends was told by the Oracle of Delphi,
who was believed to speak for Apollo, that there was no one wiser than Socrates. Socrates was puzzled by this message. He had always
thought of himself as being without wisdom. He asked the philosopher’s question — why? — and worked to decipher the Oracle's
proclamation. He began by attempting to discover why three groups that were thought to be wise — the poets, the politicians, and the
craftsmen — weren’t, according to the Oracle, wiser than Socrates.
Socrates found the poets to be unwise because, although they created beautiful poems, they relied on others to interpret and provide
meaning (poetry was composed differently at that time). As to the politicians, consider who would be elected in a direct democracy with
no constitution. Those who could sway the mob to support them would win. Most successful politicians were members of a group of
private tutors called sophists, who taught rhetoric. The goal of rhetoric is persuasion, not the attainment of truth. Socrates believed that
winning at any cost, without regard for truth, was unwise and immoral. He made enemies of the sophists when he revealed that they
would say anything to gain political power. The sophists turned the masses against Socrates, and originated the charges against him.
The artisans, the remaining group that was thought to be wise, but wasn't, regularly made a particular mistake. They believed that their
expertise within their fields of endeavor made them experts in other fields. Anyone who has been condescended to by an I.T. expert, or
who has watched an actor give a lecture about economics, knows why Socrates found this group to be unwise.
Upon completing his investigation of the three groups, Socrates discovered why the Oracle declared that he was wise: It was because
he knew that he was not wise. He knew what he did not know, a concept that is now called Socratic Wisdom. Socrates solved the
Oracle's puzzle but, in doing so, made many influential enemies.
Another source of Socrates’ reputation is The Clouds — a play by the comedic playwright Aristophanes. It portrays an over-the-top
(fictitious) school of philosophy, led by a comedic, highly-exaggerated Socrates.
2. Socrates’ Argued That He Did Not Corrupt the Youth
After explaining why he had been charged (and was being tried), Socrates focused on the new charges: denying the gods and corrupting
the youth of Athens. After indicating why anyone who cares about ethics and wisdom (and oracles) pays homage to the divine, he
addressed the charge of corrupting the youth of Athens. Socrates raised two arguments against the charge, directing a dialectic against
the chief prosecutor, Meletus.
In the course of his arguments with Meletus, Socrates proves that he did not corrupt the youth of Athens. Unfortunately, the jury did not
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 41agree. We will examine Socrates' arguments in detail in a subsequent tutorial.
3. The Unexamined Life Is Not Worth Living
Socrates failed to persuade the jury, which found him guilty. Meletus asked for a penalty of death; Socrates did not suggest an
alternative. As a result he was sentenced to die. However, both before and after his sentence was pronounced, Socrates presented
compelling reasons why he did not fear death.
Most importantly, he had done what he thought was right: he had pursued wisdom and taught others to do so; and he had lived according
to the moral principles of his philosophy. Socrates stated that “The difficulty, my friends, is not to avoid death, but to avoid
unrighteousness; for that runs faster than death.” He maintained that a good person does what he or she knows to be right, regardless
of personal consequences.
The possibility that he might be executed should not influence his determination of what he ought to do. Socrates believed that he, and
everyone, should perform the “godly” pursuit of philosophy, of seeking wisdom and right living. This kind of life can only be lived by
humans, but without it, we fall short of humanity. As Socrates famously said, “the unexamined life is not worth living.”
4. Death Is Nothing or Something
Determined to do what he knew was right, Socrates made a final, deductive, either-or argument to show why we should not fear death:
Death is either nothing or something.
If it is nothing, it is akin to a long, dreamless sleep (which is nothing to fear).
If it is something, then it is a transmigration in which one can converse with those who have died (which is nothing to fear.)
Therefore, either way, death is nothing to fear.
Some have noted that, in maintaining the third premise, Socrates ignored the possibility of a negative afterlife (e.g., hell). However,
concepts of eternal damnation were not hypothesized until centuries after his death. Additionally (and more importantly), it was then
believed that the afterlife would be ruled by true judges, who would not fault or punish him for having dedicated his life to the pursuit of
wisdom and moral philosophy. If we agree with Socrates that everyone should pursue wisdom, the third premise is appropriate.
In the Apology, Socrates defends himself from the charges that have been made against him and, in so doing, defends philosophy.
In pursuing truth — a pursuit that led to the discovery of Socratic Wisdom — he made enemies of the sophists, who condemned
him. He refuted the charge of "corrupting the youth" with two good arguments, but was sentenced to death. However, the
sentence did not upset Socrates, because he knew that he had lived rightly.
Source: The Apology- retrieved from The Gutenberg Files: https://www.gutenberg.org/files/1656/1656-h/1656-h.htm
TERMS TO KNOW
Deductive Argument
An argument whose inferential claim is a claim of logical certainty
Inductive Argument
An argument whose inferential claim is a claim less than logical certainty
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 42The Apology- Socrates' Arguments
by Sophia Tutorial
This tutorial provides a review of the key points of The Apology, and demonstrates how to extract arguments from it.
This review and consideration of the arguments in the Apology is provided in two parts:
1. Review of The Apology
2. Extracting Arguments from The Apology
1. Review of The Apology
Recall that The Apology is a transcript (recorded by Plato) of Socrates' trial. In it, Socrates presents his defense. He had been charged
with denying the gods and, more seriously, corrupting the youth of Athens.
As Socrates indicates, the real charges against him were unpopularity, and making powerful enemies. Since it was his practice of
philosophy that led to the charges, he needed to prove that his search for truth, and his attempts to lead others to it, were good and
worthwhile occupations. He had to prove that he did not corrupt the youth, and to let his accusers know that he did not fear death.
The Apology begins after the prosecution has presented its case. Socrates began his defense by making a distinction between the “old
charges” and the “new charges.” By “new charges,” he meant the official charges: denying the gods and corrupting the youth of Athens.
The “old charges” were, collectively, his reputation.
2. Extracting Arguments from The Apology
In addressing the “new charges,” particularly the charge that he had corrupted the youth of Athens, Socrates (using his dialectic method),
argued with the chief prosecutor, Meletus. In their exchange, Socrates makes two arguments: one inductive, one deductive.
Inductive
An argument in which the inferential claim is of less than logical certainty
Deductive
An argument in which the inferential claim is of logical certainty
Review the following text and see if you can reconstruct Socrates' arguments before evaluating them. In the first (inductive) argument,
Socrates led Meletus to state his claim precisely:
Socrates: Then every Athenian improves and elevates them; all with the exception of myself; and I alone am their corrupter?
Is that what you affirm?
Meletus: That is what I stoutly affirm.
This passage indicates the direction Socrates’ argument would take. Meletus’s assertion was that everyone else improved the youth;
only Socrates corrupted them. Socrates next showed that this assertion was bizarre:
But suppose I ask you a question: How about horses? Does one man do them harm and all the world good? Is not the exact
opposite the truth? One man is able to do them good, or at least not many — the trainer of horses, that is to say, does them
good, and others who have to do with them rather injure them?...Happy indeed would be the condition of youth if they had one
corrupter only, and all the rest of the world were their improvers. But you, Meletus, have sufficiently shown that you never had
a thought about the young: your carelessness is seen in your not caring about the very things which you bring against me.
Extraction of premises and a conclusion from the preceding text produces the following:
1. If Meletus is correct, everyone else improves the youth. Only Socrates corrupts them
2. With horses, the opposite situation is in effect (i.e., one person, or very few people, improve them; most do nothing to improve
them)
Combining (1) and (2) yields the following:
3. It is easier to raise a good human than a good horse (a ridiculous conslusion).
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 43The statement that it is much easier to raise a good human than a good horse is clearly false. As a result, we must reject Meletus’ original
assertion.
Socrates' argument is inductive because it is based on cause-and-effect relationships. The conclusion resulting from Melitus' premise is
logically sound. Absurd conclusions are improbable; they should not be believed unless overwhelming evidence compels us to do so.
No youth (or their parents) accused Socrates. Therefore, there is no evidence to support the absurd conclusion (much less
"overwhelming" evidence). We must reject the premise which led to it.
Socrates next made a deductive argument:
Socrates: And when you accuse me of corrupting and deteriorating the youth, do you allege that I corrupt them intentionally
or unintentionally?
Meletus: Intentionally, I say.
Socrates: But you have just admitted that the good do their neighbours good, and the evil do them evil. Now, is that a truth
which your superior wisdom has recognized thus early in life, and am I, at my age, in such darkness and ignorance as not to
know that if a man with whom I have to live is corrupted by me, I am very likely to be harmed by him; and yet I corrupt him, and
intentionally, too….But either I do not corrupt them, or I corrupt them unintentionally; and on either view of the case you lie. If
my offence is unintentional, the law has no cognizance of unintentional offences: you ought to have taken me privately, and
warned and admonished me.
Look for Socrates' main point in this passage: Corruption of the youth is either intentional or unintentional. Socrates must show why
either of those options leads to a not guilty verdict.
See if you can reconstruct the argument, starting with the premise:
Corruption is either intentional or unintentional.
There should be two more premises (one related to each option) leading to a conclusion
The argument may be reconstructed as follows:
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 44This leads to a not guilty verdict either way. Note that these three premises deductively entail this conclusion and Meletus has granted
all three of them. This means that he has also granted the conclusion. Unfortunately for Socrates, the jury did not agree.
The jury was not persuaded by Socrates’ arguments, and found him guilty. Meletus asked for a penalty of death; Socrates did not suggest
a viable alternative. As a result, he was sentenced to death.
Before and after his sentence was pronounced, Socrates presented the reasons why he did not fear death. Most importantly, he had
done what he thought was right: he had pursued wisdom and taught others to do so, and he had lived according to the principles of his
moral philosophy.
Socrates stated, “The difficulty, my friends, is not to avoid death, but to avoid unrighteousness; for that runs faster than death.” He
indicated that good people do what they know is right, regardless of negative personal consequences. Even the risk of execution
should not influence what good people ought to do.
Socrates maintained that all people are obligated to perform the “godly” pursuit of philosophy, of seeking wisdom and practicing right
living. These activities are peculiar to humans. Without them, we fall short of our humanity. As Socrates famously stated, “the
unexamined life is not worth living.”
As a final statement indicating his determination to do what he knows is right, Socrates made another deductive, either-or argument
about why we should not fear death.
[T]here is great reason to hope that death is a good; for one of two things — either death is a state of nothingness and utter
unconsciousness, or, as men say, there is a change and migration of the soul from this world to another. Now if you suppose
that there is no consciousness, but a sleep like the sleep of him who is undisturbed even by dreams, death will be an
unspeakable gain….Now if death be of such a nature, I say that to die is gain; for eternity is then only a single night. But if death
is the journey to another place, and there, as men say, all the dead abide, what good, O my friends and judges, can be greater
than this? If indeed when the pilgrim arrives in the world below, he is delivered from the professors of justice in this world, and
finds the true judges who are said to give judgment there….What would not a man give if he might converse with Orpheus and
Musaeus and Hesiod and Homer?...Above all, I shall then be able to continue my search into true and false knowledge….What
would not a man give, O judges, to be able to examine the leader of the great Trojan expedition; or Odysseus or Sisyphus, or
numberless others, men and women too! What infinite delight would there be in conversing with them and asking them
questions!
Like his deductive argument as to why he did not corrupt the youth, this argument is presented in an either-or format.
Reconstruct Socrates’ argument from the text.
Its structure is very similar to the either-or argument that Socrates made to show that was not guilty of corrupting the youth. Find the
either-or statement, and show why neither option should be feared.
The argument can be reconstructed as follows:
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 45In maintaining the third premise, Socrates ignored the possibility of a negative afterlife (e.g., hell). However, concepts of eternal
damnation were not hypothesized until centuries later. Additionally (and more importantly), Socrates described an afterworld ruled by
true judges, who would not fault or punish him for dedicating his life to pursuing wisdom and moral philosophy. If we believed Socrates
when he told us that we should pursue wisdom, this third premise is appropriate.
In the Apology, Socrates defended himself against the charges directed at him and, in so doing, defended philosophy. While
pursuing truth that led to the discovery of Socratic Wisdom, he made himself unpopular and enabled the sophists to condemn him.
Although he refuted the charge of corrupting the youth with two strong arguments, Socrates was sentenced to death. The
sentence did not upset him, because he knew he had lived rightly.
Source: The Apology- retrieved from The Gutenberg Files: https://www.gutenberg.org/files/1656/1656-h/1656-h.htm
TERMS TO KNOW
Deductive
An argument whose inferential claim is a claim of logical certainty
Inductive
An argument whose inferential claim is a claim less than logical certainty
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 46The Crito: The Duties of the Social Contract
by Sophia Tutorial
The Crito continues Plato's account (begin in the Apology) of of Socrates' trial, conviction and eventual death sentence. It takes
place in the prison where Socrates awaited execution. Crito, one of Socrates’ wealthy students, used his influence to provide
Socrates with an opportunity to escape. Socrates did not immediately seize the opportunity.
Remember that, as described in the Apology, Socrates was unwilling to compromise his ideals and use rhetoric (instead of reason),
to present his defense during his trial. His subsequent conviction, sentence and imprisonment did not increase his willingness to
compromise them. Socrates stated that he would only escape if it was the right thing to do (i.e., the "right thing" in a moral, rather
than legal, sense).
Crito tried to convince him to leave with arguments based on popular opinion regarding his (Crito's) efforts (or lack of efforts) to
free his friend, and the intrinsic value of human life. Socrates rejects Crito's arguments, and makes a compelling argument of his
own: one that may be the first expression of the Social Contract in history.
This tutorial examines Socrates' view of the duties of the social contract in three parts:
1. Whose Opinion Counts
2. The Value of Human Life
3. The Social Contract
1. Whose Opinion Counts
In trying to free his friend Socrates, Crito first presented an argumentum ad populum; an appeal to the majority. He told Socrates that
people would think ill of him (i.e., Crito) if he, with all of his influence, allowed his friend Socrates to die. (Note that Crito's appeal implied
that public opinion may have shifted after Socrates was convicted and condemned to death.) Crito told Socrates that, “the opinion of the
many must be regarded.”
Socrates, as always, begins to formulate his reply by asking the philosophical question: why? Instead of immediately accepting the
majority view, he referred to a concept that he discussed in the Apology: difficult endeavors require expertise. We shouldn’t listen to
the majority in complicated situations; we should listen to the experts.
If you want to know about economics, ask an economist. If you want to know about climate change, consult a climate
scientist.
In this case, the question involved a matter of ethics. To gain the knowledge needed to answer it rightly, an expert in ethics must be
consulted (e.g., a philosopher). Socrates stated,
“In questions of just and unjust, fair and foul, good and evil, which are the subjects of our present consultation, ought we to follow the
opinion of the many and to fear them; or the opinion of the one man who has understanding?”
Does ethics require expertise? Would cases involving abortion and capital punishment be best resolved by experts — without the
input of people who are not experts? Would this provide better results than Crito’s call for ethical decisions based on majority vote?
As you consider this, remember that Socrates’ position wasn’t that non-experts can’t say anything about ethical matters, but that their
input is opinion, while the contribution of experts is knowledge. Socrates pointed out that we must always distinguish times when
(and situations in which) we possess knowledge, from those when all we can contribute is our opinion. Would it be better to begin a
debate on abortion with, “I don’t know, so this is only my opinion, but….” than with an emotional, inflexible statement? This approach
might at least reduce the shouting.
2. The Value of Human Life
After failing to convince Socrates to follow the will of the majority, Crito tried a different (and familiar) approach. He made an appeal
based on the intrinsic value of human life: “Nor can I think that you are at all justified, Socrates, in betraying your own life when you might
be saved; in acting thus you are playing into the hands of your enemies, who are hurrying on your destruction.” He went on to tell
Socrates that escaping would enable him to accomplish much good. He would be able to continue to teach philosophy and instill ethics
in his pupils.
Socrates once again responded in a way that might seem strange to contemporary readers. He asked Crito the following questions:
“…will life be worth having, if that higher part of man be destroyed, which is improved by justice and depraved by injustice? Do we
suppose that principle, whatever it may be in man, which has to do with justice and injustice, to be inferior to the body?”
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 47Socrates took a position that was commonly-held in ancient Greece: not all life has value. Only the good life has value. As a result, it is
absurd to put the value of a life above what is right.
Is all life worth saving? Does all life have intrinsic value? Does something beyond our actions (and potential actions) add value, or are
we ony the sum of what we do and might do? Saying that life has intrinsic value has important repercussions in discussions regarding
moral worth (e.g., discussions about capital punishment). For example, was the state of New York wrong to execute Albert Fish, one
of the most evil serial killers of all time? If human beings have intrinsic worth, what gives them that worth? Your answer to this
question will inform your view on euthanasia and other topics. What is the "right" solution when someone who is suffering, and can
only look forward to more suffering, wants to die? What about a coma patient who will never regain consciousness? What about
someone who severely mentally disabled?
If Socrates was correct in believing that only the good life is worth saving, and escaping from prison was in opposition to the principles
of the good life he'd tried to live, then escaping from prison would make his life one that was not worth living. This returns us to the
original topic: it must first be determined whether escape is the right thing to do before proceeding.
3. The Social Contract
The last argument Socrates made in the Crito is the most important: He imagines a dialogue between himself and Athens, personified as
the Laws, which ask him the following:
“‘And was that our agreement with you?...What complaint have you to make against us which justifies you in attempting to destroy us and
the state? In the first place did we not bring you into existence? Your father married your mother by our aid and begat you….Or against
those of us who after birth regulate the nurture and education of children, in which you also were trained? Were not the laws, which
have the charge of education, right in commanding your father to train you in music and gymnastic?’ Right, I should reply. ‘Well then, since
you were brought into the world and nurtured and educated by us, can you deny in the first place that you are our child and slave, as your
fathers were before you?....Then the laws will say: ‘Consider, Socrates, if we are speaking truly that in your present attempt you are
going to do us an injury. For, having brought you into the world, and nurtured and educated you, and given you and every other citizen a
share in every good which we had to give, we further proclaim to any Athenian by the liberty which we allow him, that if he does not like
us when he has become of age and has seen the ways of the city, and made our acquaintance, he may go where he pleases and take his
goods with him. None of us laws will forbid him or interfere with him. Anyone who does not like us and the city, and who wants to
emigrate to a colony or to any other city, may go where he likes, retaining his property. But he who has experience of the manner in
which we order justice and administer the state, and still remains, has entered into an implied contract that he will do as we command
him.”
Here we have a first approximation of an extremely important concept in political philosophy and justice studies, the Social Contract.
The Social Contract
An implicit agreement between the citizen and the state in which the citizen agrees to follow the law in exchange for benefits
provided by the state
Based on the Social Contract, Socrates did not believe he should escape. Why?
Try to construct a Socratic argument, the conclusion of which is that Socrates should not escape, and the premises of which involve a
social contract.
Consider that, of every entity on earth, your government is the only one that can legitimately (i.e., without doing anything wrong) take
away your rights. It can (and does) claim some of your wealth, and can, in certain circumstances, limit your freedom and take your life. Few
people believe that the government does wrong when it penalizes criminals and collects taxes, but where does the government's
authority come from? A thousand years ago, someone may have claimed that a god gave a king his authority. Today, the answer is almost
always the Social Contract, which is viewed as the sole basis for legitimate government authority. In this respect, Socrates' conclusions
regarding his relationship to the laws of Athens were over 2,000 years ahead of their time.
What is the Social Contract? It is an agreement in which one side provides what the other receives. In most cases, the government gives
the citizen internal and external protection (by means of police and armed forces), education (through public schools and universities),
and infrastructure (roads, public utilities, hospitals, regulations to ensure breathable air and drinkable water, courts, and more). If you
consider everything the government provides, you might conclude that the Social Contract is a very good deal for citizens. The
government asks one thing in return: follow the laws.
As Socrates indicated, in a democracy, the agreement is even better than the description provided in the last paragraph. Citizens can
leave the government's jurisdiction any time they want to do so, taking all of their property with them. If a law is unjust in the view of one
or more citizens, (i.e., if a citizen — or citizens — does not like the current terms of the social contract, they can attempt to change it
through a political process).
However, consider the situation in which Socrates found himself. The state had upheld its obligations. It had provided him with
protection, education, and infrastructure. In addition, Socrates did not leave the jurisdiction, and did not seek to change the laws
(including the laws he was found to have broken). The state upheld its end of the contract, and Socrates made no effort to get out of, or
change, it. As a result, the Social Contract was still binding. It would not only be illegal for him to escape, but also immoral. Because the
contract was still in effect, Socrates must abide by its terms.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 48Socrates' argument as to why he should not try to escape can be reconstructed as follows:
A contract is binding when the terms are agreed upon and the other party involved has met them. Premise
By neither leaving nor seeking to change the laws, Socrates gives consent to the terms of the Social Contract with
Athens.
Premise
Athens upheld its terms of the Social Contract. Premise
Therefore, Socrates is still bound to his obligations in the Social Contract with Athens. Conclusion
Should Socrates have left Athens when he had an opportunity to do so? Answer by deciding when a Social Contract with the state is
binding, and when it is not. Does the contract require anything of the government besides protection, infrastructure, and education?
What about rights? A reasonable court of law? Are you bound to obey a law to which you have strenuously objected and tried to
change? What is the role of civil disobedience and nonviolent protest with respect to the Social Contract?
Crito wanted to save Socrates, but could not convince him to save himself at the expense of his moral beliefs. Crito's argument did
not convince Socrates that it would not be wrong to escape. When we must resolve difficult problems, we rely on experts, not
popular opinion. In the Crito, the ethical expert (i.e., the philosopher, Socrates) concluded that only the good life — not all life —
has value. So if it would be wrong to escape, it would not add value to do so. Socrates provided a compelling concept to support
his position that escape would be wrong: a Social Contract between him and the state. Socrates demonstrated that the state had
upheld its end of the contract. He believed that he must do his part by obeying its laws.
Source: https://www.gutenberg.org/files/1657/1657-h/1657-h.htm
TERMS TO KNOW
The Social Contract
An implicit agreement between the citizen and the state in which the citizen agrees to follow the law in exchange for all the
benefits provided by the state
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 49The Phaedo: The Death of Socrates
by Sophia Tutorial
In the Apology, Socrates is (wrongfully) convicted of denying the gods and corrupting the youth of Athens, and is sentenced to
death. In the Crito, Socrates is provided with a chance to escape his sentence, but chooses not to do so because it would be
wrong.
In the Phaedo, the sentence is carried out. Socrates is executed by imbibing hemlock (i.e., drinking poison). Before his demise,
however, he taught a large group of his students one last time.
In the Phaedo, the conversation is about death, although it takes place in a manner that may seem backwards. Socrates attempted
to console his friends, rather than the other way around. He made a more nuanced argument than he did in the Apology regarding
why we should not fear death, and defined death as separation of soul from body.
This tutorial investigates the death of Socrates in two parts:
1. A Philosopher Does Not Fear Death
2. On Souls and Bodies
1. A Philosopher Does Not Fear Death
Socrates accepted his death sentence, although he had at least three opportunities to delay it. He considered the topic of suicide (which
was taboo at that time) philosophically. One of his students asked him, “Why do you say…that a man ought not to take his own life, but
that the philosopher will be ready to follow the dying?”. Socrates responded with a religious answer: Our bodies are not our own. It is
up to the gods, not us, to decide when and how to end our lives. We don’t have a right to take what belongs to them.
This raises an interesting (and perennial) question: why don’t the gods take better care of those who are under their protection? (Note
that, in the Phaedo, the student who asked the question was referring to the gods' protection of Socrates, but the question can also be
asked about all of those who serve the gods, e.g., good people.) Since the gods didn’t seem to take good care of good people, why
couldn’t Socrates take better care of himself by avoiding (or at least delaying) his death?
Socrates answered by relying on the rationale he developed in the Apology and the Crito: he does what is right because it is right and
because, following his death, he will be judged by the "true" judges, gods who are wise and good. For this reason, a philosopher not
only does not fear death (and is willing to die when it is right for him to do so), but can even look forward to it.
2. On Souls and Bodies
Why might a philosopher look forward to death? To answer, it is important to recognize what death is. According to Socrates, death is
“the separation of soul and body. And to be dead is the completion of this; when the soul exists in herself, and is released from the body
and the body is released from the soul, what is this but death?”
Socrates challenged his students to consider what a philosopher cares about. He or she is not concerned with sensory pleasure.
Instead, the philosopher “is entirely concerned with the soul and not with the body.” This establishes that a philosopher doesn’t lose
anything by resigning his or her body and entering a state of pure soul.
But why think that it is an advantage to do so? Why think that a philosopher improves his or her position by doing so? Socrates
answered these questions in the following dialectic with the student:
“What again shall we say of the actual acquirement of knowledge? — is the body, if invited to share in the enquiry, a hinderer or a
helper? I mean to say, have sight and hearing any truth in them? Are they not, as the poets are always telling us, inaccurate witnesses?
and yet, if even they are inaccurate and indistinct, what is to be said of the other senses? — for you will allow that they are the best of
them?
Certainly, he replied.
Then when does the soul attain truth? — for in attempting to consider anything in company with the body she is obviously deceived.
True.
Then must not true existence be revealed to her in thought, if at all?
Yes.
And thought is best when the mind is gathered into herself and none of these things trouble her — neither sounds nor sights nor pain
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 50nor any pleasure, — when she takes leave of the body, and has as little as possible to do with it, when she has no bodily sense or
desire, but is aspiring after true being?
Certainly.
And in this the philosopher dishonours the body; his soul runs away from his body and desires to be alone and by herself?
That is true.
Well, but there is another thing, Simmias: Is there or is there not an absolute justice?
Assuredly there is.
And an absolute beauty and absolute good?
Of course.
But did you ever behold any of them with your eyes?
Certainly not.
Or did you ever reach them with any other bodily sense? — and I speak not of these alone, but of absolute greatness, and health, and
strength, and of the essence or true nature of everything. Has the reality of them ever been perceived by you through the bodily
organs? Or rather, is not the nearest approach to the knowledge of their several natures made by him who so orders his intellectual
vision as to have the most exact conception of the essence of each thing which he considers?
Certainly.
And he attains to the purest knowledge of them who goes to each with the mind alone, not introducing or intruding in the act of thought
sight or any other sense together with reason, but with the very light of the mind in her own clearness searches into the very truth of
each; he who has got rid, as far as he can, of eyes and ears and, so to speak, of the whole body, these being in his opinion distracting
elements which when they infect the soul hinder her from acquiring truth and knowledge….”
What Socrates alluded to in the preceding excerpt from the Phaedo is of deep and abiding interest to philosophers: the notion of an
essence. An essence is what makes a thing what it is.
The essence of humanity is what makes humans human. The essence of justice is what makes just acts just.
This is what Socrates meant when he mentioned “absolute justice.” This is the philosopher’s genuine interest. We know when an act is
obviously just, and we know when an act is obviously unjust. However, to make true judgements in difficult cases (i.e., cases in which it is
not obvious), we must know justice as it truly is. We must know the essence of justice independent of any particular act or just person.
In this endeavor, the empirical world may sometimes get in the way. We cannot access humanity in general, only individual humans.
Socrates maintained that, without these individual cases clouding our vision, we might get a clear view of humanity in its pure form,
justice in its absolute form, etc. This is a topic about which Socrates’ student, Plato, had much to say, as we will see in subsequent
tutorials. In death, Socrates believed, the questions in which he was most interested would be answered. Having gained this insight, he
drank the hemlock with equanimity, and took the next step in his philosophical journey: death.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 51The Death of Socrates (399 BC). Socrates, as he accepts the Hemlock.
In the Phaedo, Socrates instructed his pupils regarding death. Although human beings have no right to end their own lives
(because our lives are the property of the gods), the philosopher does not fear death. He or she is not afraid to do what is right
and, therefore, has nothing to fear from the "true" judges he or she will face in the afterlife. Death is a separation of the soul and
body, but the philosopher’s primary interest is to cultivate the former. Without a body to impede the soul's progress, we may see
things as they truly are.
Source: Phaedo text retrieved from Project Gutenberg: https://www.gutenberg.org/files/1658/1658-h/1658-h.htm, Image: Death of
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 52Socrates, Public Domain,
https://en.wikipedia.org/wiki/Trial_of_Socrates#/media/File:He_drank_the_contents_as_though_it_were_a_draught_of_Wine.jpg
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 53Plato: An academic approach to concepts
by Sophia Tutorial
Plato was the most famous student of Socrates. Like his mentor, he was interested in clear and distinct concepts: they were the
cornerstone of his approach to philosophy. After a brief introduction to Plato's philosophy, we will explore the basics of
conceptual analysis and its application in one of Plato’s best-known works.
This tutorial examines Plato's academic approach to concepts in three parts:
1. An Introduction to Plato
2. Necessary and Sufficient Conditions
3. The Euthyphro
1. An Introduction to Plato
Plato, born circa 427 B.C.E., was Socrates’ pupil until Socrates’ was executed in 399 B.C.E. During their time together, Plato recorded
dialogues between Socrates and various Athenians. It is as a result of these written records that we know the philosophy of Socrates.
After Socrates’ death, Plato wrote his own philosophical works, using the dialogue format that had been employed by his teacher. To
honor Socrates (and to present his ideas in an unbiased way), Plato’s fictional dialogues involved Socrates, usually as the one
pronouncing Plato’s philosophical views. As a result, Plato’s early dialogues include historical conversations of Socrates. In his mature
work, however, Plato used fictitious Socratic dialogues to develop and defend his philosophy.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 54Roman copy of a portrait bust of Plato by Silanion for the Academia in Athens (c. 370 BC)
Plato founded a school of philosophy called the Academy.
Plato (which means “broad” in ancient Greek) was a nickname. His birth name was Aristocles. Plato founded the Academy in Athens,
which was one of the first institutions of higher learning in the western world.
Although the Academy played a major role in the development of western philosophy, it is important to realize that much of what Plato
wrote was intended to educate his students (i.e., they were philosophical texts to be read and discussed at the Academy). His books,
including the Euthyphro, were teaching tools, used to impart important lessons.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 55The Euthyphro enables us to begin to realize the importance of clear and accurate concepts, and how we can identify them. In the
Dialogue, Plato describes how Socrates engaged Euthyphro, an Athenian who charged his father with murder in a case that was far from
black and white. Socrates was interested in what he could learn from this case regarding the essence of piety, or godliness.
Essence
What makes a thing what it is
An essence is a concept of metaphysics, not of language. An essence is more than a definition. For example, the essence of humanity is
what makes a human, human. Whether or not an essence can be captured it in words is irrelevant to the fact that every human must
possess the human essence in order to be human. Plato was interested in essences, and they play an important role in philosophy.
However, not every philosopher agrees that essences exist. Those who believe they do, sometimes disagree on the details. This was
true of Plato and Aristotle, as will be discussed in other tutorials.
Why are essences so important to philosophy? Essences are not definitions because they are unchanging, even when language
changes. That which makes a human a human will always do so. It is irrelevant whether “human” has been defined in different ways at
different times. Essences are the grounds for truth and falsity. If I ask, “Why are Bob and Sheila humans?” I am seeking an answer that is
deeper than a dictionary definition. Any claim that “Bob and Sheila are humans” is true will involve a human essence in some way. The
same is true if we replace “human” with important philosophical concepts including "justice" and "goodness."
In order to identify and make use of essences, it is essential to use clear, accurate terms. To identify the essence of justice, we must
make accurate claims of the form, x is just or y is unjust. We do not need to know much about philosophy to know that grading student
work based on hair color is unjust, or that assigning grades based on merit is just. We don't need philosophical analysis in the easy
cases. But what about the gray areas? Is it just to give an oral exam — one that is ordinarily given as a written test — to accommodate one
student's disability? If we can accurately identify the essence of justice, we can eliminate gray areas and provide the correct answer.
Essences are crucial to philosophy because they enable us to clarify gray areas and discover the truth.
Essences can help us to discover the truth in gray areas including the morality of abortion, capital punishment, and
wealth inequality.
2. Necessary and Sufficient Conditions
How can we identify essences? Examination of natural categories of how things are in nature is a good way to begin. For example, what
is the relationship between dogs and mammals? This is not a relationship between words or statements, but between real things. When
considering realities, there are two basic ways in which categories can be related. The first is a sufficient condition:
Sufficient Condition
A is a sufficient condition for B, if membership in A logically guarantees membership in B
Note that a sufficient condition is a relation, like saying “taller than.” It always applies to two things, not one. Since this is so, think of a
sufficient condition as a logical guarantee. For example, getting caught stealing is a guarantee that you were breaking the law.
Therefore, getting caught stealing is a sufficient condition for breaking the law.
What other types of things are logical guarantees? Recall the previous example of dogs and mammals. Being a dog is a sufficient
condition for being a mammal. In general, any subclass is a sufficient condition. Being a square is a sufficient condition for being a
quadrilateral, etc. Other examples involve a special type of subclass. Being Sacramento is sufficient for being a state capital. Being
Socrates is a sufficient condition for being a philosopher. Being Socrates guarantees membership into the class of philosophers.
The other type of basic relation that may occur in the world is a necessary condition.
Necessary Condition
X is a Necessary Condition for Y if membership in X is logically required for membership in Y
Think of a necessary condition as a logical requirement. Completing your coursework is a necessary condition for receiving your
degree. What kinds of things are logical requirements? First, a supertype is a rarely-used word that means the opposite of a subtype or
subclass. Being an animal is a necessary condition for being a starfish. Another type of necessary condition is the “part of” relation. This
can be a physical part (e.g., having a spine is a necessary condition for being a human), or a conceptual component (e.g., fairness is a
necessary condition for justice).
If this is confusing, there is a simple procedure for determining whether either of these relations exists between two things:
First, set up the question as follows:
(1) is a (fill in the blank) condition for (2), where (1) and (2) are the two objects, concepts, etc. that you are relating.
Next, ask two simple questions:
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 56Ask, “Are all cases of (1) also cases of (2)?”
If you answer yes, then (1) is sufficient for (2).
If you answer no, then (1) is not sufficient for (2).
Note that the first question only determines sufficiency. To determine necessity, change the order.
Reverse the sequence and ask, “Are all cases of (2) cases of (1)?”
If you answer yes, then (1) is necessary for (2).
If you answer no, then (1) is not necessary for (2).
Note that this produces four possible answers relating any two categories:
(A) Sufficient, not necessary
(B) Necessary, not sufficient
(C) Both necessary and sufficient
(D) Neither necessary nor sufficient
The whole of reality has just become a multiple choice question, because one of these four possible relations must always exist
between any two things.
Return to the examples of sufficient conditions above, and see how they all come out as option (A), sufficient, not necessary. Next, try
all of the previous examples of necessary conditions and see how they come up as option (B), necessary, not sufficient.
We have seen some examples of relations that fall into the category of sufficient, not necessary and others that are necessary, not
sufficient. What about the last two categories? To answer (D) (i.e., neither necessary nor sufficient ) that there is no logical relation
between two entities. For example, being a pirate is neither necessary nor sufficient for being a ninja. This is an example of no relation
at all. Note that statistical relationships fall into category (D) as well. For instance, being tall is neither necessary nor sufficient for being a
professional basketball player. Why? There are tall people who are not basketball players, and there are basketball players who are not
tall. Being tall is neither a requirement nor a guarantee for being a basketball player.
The most important category in conceptual analysis is (C) (i.e., both necessary and sufficient). What kind of things are both necessary and
sufficient? Cases of identity fall into this category. Being Socrates is both necessary and sufficient for being Plato’s mentor. More
important, however, are two things of interest to philosophy: good definitions (linguistic) and essences (metaphysical). Being a bachelor
is both necessary and sufficient for being an unmarried male who has reached the age of consent. Using necessary and sufficient
conditions is a simple way to begin using conceptual analysis.
Try the following six problems:
1) Being furniture is a (fill in the blank) condition for being a chair.
2) Being a good driver is a (fill in the blank) condition for having a driver’s license.
3) Being a regular quadrilateral is a (fill in the blank) condition for being a square.
4) Having a heart is a (fill in the blank) condition for being a human.
5) Eating Thanksgiving dinner is a (fill in the blank) condition for being full.
6) Being enrolled in this course is a (fill in the blank) condition for being a student.
If you follow the procedure outlined above, you should arrive at these answers:
1) Necessary, not sufficient
2) Neither necessary nor sufficient
3) Both necessary and sufficient
4) Necessary, not sufficient
5) Sufficient, not necessary
6) Sufficient, not necessary
3. The Euthyphro
Though the terminology used for these categories did not exist during Plato’s time, Plato taught his students many of these concepts
(and a few more) in the Euthyphro. In that dialogue, Socrates asked what is the essence of piety (i.e., holiness or goodness). He
therefore asked Euthyphro for the necessary and sufficient conditions for piety. In the dialogue, Euthyphro presented six unsatisfactory
definitions. Plato’s students learned the fundamentals of conceptual analysis from Socrates’ rejection of the unsatisfactory answers. We
will examine some of them briefly.
The first definition Euthyphro proposed is that piety is to do what he was doing, that is prosecuting the wrongdoer.
Socrates quickly pointed out that this was merely an example, or to use our terminology, sufficient, but not necessary. There are other
ways of being pious, so an example, while helpful, does not grasp the essence of piety. (Imagine that someone asked you what it meant
to be human and, in response, you pointed at a passerby.)
Euthyphro next stated that piety is what is loved by the gods. Socrates replied that this wouldn’t do, because the gods disagree (which
probably makes it neither necessary nor sufficient). What is loved by Aphrodite, goddess of love, is different from what is loved by Ares,
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 57god of war. The important lesson is that, when dealing with concepts, say what you mean (i.e., say what you are willing and able to
defend), nothing more, nothing less.
Consider this claim: “Abortion is wrong.” Does this mean all abortions are wrong? What about cases of rape? What
about cases in which continuing the pregnancy will kill the mother? Surely it was not intended to include cases in which continuing the
pregnancy will kill the mother and the fetus. Only claim what you are willing to support.
The third definition, therefore, is that piety is what is loved by all of the gods. Things which satisfy these conditions may exist, (the Greek
virtues of courage, wisdom, justice, and moderation, for example), but there is a problem, which has come to be known as the Euthyphro
Dilemma: Is a thing pious because the gods love it, or do the gods love it because it is pious? The former makes piety arbitrary and
uninteresting. The latter means we must look beyond the gods to isolate the concept.
This is what Euthyphro tries to accomplish in presenting his fourth definition: piety is part of justice, and all that is pious is just. Once
more, however, the “part of” relation is incomplete (recall that “part of” is necessary, not sufficient). In this instance, Euthyphro tried to
define a tricky concept by introducing a trickier concept, which is unhelpful.
Euthyphro moved on to another religious definition of piety: piety is doing what is required by the gods or care of the gods. This is
vague. Care how? We have not adequately defined the concept.
Euthyphro clarifies this in his sixth (and final) definition: piety is service to the gods. This is also vague. Even worse, we can remove the
vagueness. We serve the gods by doing what they wish, but this is the same as saying "doing what pleases them." Euthyphro has simply
restated his third definition.
The results of the dialogue were not all failures, however; Socrates provided a positive notion of what the essence of piety may be (i.e.,
the virtue of living in a way that fulfills one’s duties to humanity, and to the gods). What is important to realize is how to approach precise
philosophical concepts, while avoiding standard pitfalls, and why precision matters.
Philosophy is a pursuit of truth, but this means we need to identify the truth-makers of categories — essences. A good way to do
this is to learn necessary and sufficient conditions: logical guarantees and requirements that relate categories of being. In Plato’s
Euthyphro, he taught his students in this way, using the concept of piety. By doing so he emphasized the importance of precise
concepts.
Source: Image of bust of Plato, PD, https://en.wikipedia.org/wiki/Plato
TERMS TO KNOW
Essence
What makes a thing what it is
Necessary Condition
"X" is a Necessary Condition for "Y" if membership in "X" is logically required for membership in "Y."
Sufficient Condition
"A" is a Sufficient Condition for "B" if membership in "A" logically guarantees membership in "B."
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 58Plato Forms: The Objects of Knowledge
by Sophia Tutorial
Plato was interested in concepts — not just the terminology used to refer to them, but metaphysically. He wanted to know how
they exist in reality, their essences. Plato’s notion of essences was connected to his epistemology, and is how knowledge
becomes possible. Before discussing the connection between essences and knowledge, we need to examine knowledge.
This tutorial considers forms, the objects of knowledge, in two parts:
1. The Platonic Conception of Knowledge
2. Plato’s Forms as the Grounds of Knowledge
1. The Platonic Conception of Knowledge
In a dialogue called the Theaetetus, Plato provided perhaps the first, and certainly the most influential, account of knowledge in western
philosophy. In it, he asserted that knowledge consists of three components.
What kind of thing is knowledge? To answer, let's consider an example. We know that the Titanic was over 100 feet long. However, this
knowledge is something that exists in our minds, not in the world. It must be true, because we know that the Titanic was over 100 feet
long, but not everyone knows this. There are people who don’t know what the Titanic was. There are many people who don’t know the
English measuring system, and don’t know what 100 feet is. However, since the Titanic was over 100 feet long independent of whether a
person or persons know it or not, then knowledge must be distinct from the object itself. Knowledge is in our minds, as a posture we
hold toward the statement, “The Titanic was over 100 feet long.” Knowledge is a type of belief. This was Plato’s first component of
knowledge (“belief” is the term used now, but Socrates and Plato sometimes used “opinion” instead).
However, people have believed lots of things. 1,000 years ago, people believed that the sun revolved around the earth. Before that,
some believed that the earth was flat. Children believe that Santa Claus exists. Believers, however, don’t know these things. They can’t
know them. They may think that they know them, but they are wrong in thinking so. You cannot know that which is false. Therefore,
Plato’s second component of knowledge is truth. Knowledge must be a true belief (or true opinion).
However, this definition of knowledge is still insufficient. For example, suppose you are at a party chatting with a stranger who makes a
request. He puts his hands behind his back and asks you to guess (i.e., to form a belief about) how many fingers he is holding up.
Arbitrarily, you guess two. He takes his hand from behind his back and shows you that he is holding up two fingers. In this case, you had
a true belief, but you didn’t know that he was holding up two fingers. Therefore, having a true belief falls short of knowledge. Something
is missing.
Think about the situation just described. Can you imagine a few alterations in the scenario that would enable you to say that you knew
how many fingers he was holding up behind his back?
There are many things we can imagine that might provide us with knowledge. Imagine if the stranger had been standing by a bar, above
which hung a large mirror, enabling you to view a reflection of his hand behind his back. Or imagine that you have seen him ask the same
question of everyone else at the party and noticed that he always holds up two fingers. Or perhaps your friend is standing behind him
and signals you that he is holding up two. What do all of these possibilities have in common? They all provide good reasons to believe
that he is holding up two fingers.
Think about the situation just described. Can you imagine reasons that you might guess two, that are bad reasons?
Imagine that you threw a dart at a dartboard and it stuck in the "two" area of the board. You used the dart's landing location as your
answer to the stranger when he asked how many fingers he was holding up. This is a reason to answer "two," but is it a good reason? No,
it is not. Does the fact that the dart landed on two enable you to claim that you knew he was holding up two fingers? No.
Note what these two examples teach us. When we have good reasons for our true belief, we say we know it. When we have bad
reasons, we don’t (we can't) say we know it, even if it happens to be true.
Plato’s third component of knowledge is called justification. This term indicates situations in which we have good reasons for our belief.
(Note that, when talking about knowledge, justification always applies to beliefs, not actions.) What makes a reason “good” is one of the
main focuses of the field of epistemology.
Epistemology
The branch of philosophy that analyzes and defends concepts of knowledge, and the methodologies by which it is attained
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 59Plato's Components of Knowledge
Knowledge is a type of belief
Knowledge must be a true belief
Knowledge is a justified true belief
Plato defined knowledge as justified true belief. This definition (at least as an approximation) is still used and defended 2,400 years
later.
2. Plato’s Forms as the Grounds of Knowledge
How can we justify a belief? Consider the justifications included in the examples above: seeing the mirror, being signaled by a friend,
watching for patterns, etc. In broad terms, what they all have in common is that they are grounded in the world. Justification is tied to
seeing the world as it is, properly relating a belief to the world as it exists. When you properly connect a belief to the world as it is, that
belief is justified.
Therefore, in order to justify a belief, one must access the world as it really is. For Plato, this meant knowing the essence of things. In
order to say, “I know Jen is a human,” the speaker must know what a human truly is (i.e., what makes a human, human: its essence). This
is true of essences generally, but Plato developed a nuanced and influential view of essences. It is called Plato's doctrine of the Forms
or Ideas, or the Platonic Forms (initial capitalization is used when referring to this concept).
In Plato's view, essences are real entities. A real thing that is the essence of goodness, called the Form of Goodness, exists. The same
is true of Justice, Humanity, and other important essences. These essences exist not in the world, but in an intellectual realm sometimes
called Platonic Heaven (because it is analogous to the Christian heaven in many ways, including its lack of a physical location). Everything
that is good is good because it is related to this essence, the Form of Goodness.
It may seem strange to think that there is a Form of Goodness that is everywhere/nowhere in Platonic Heaven. But let’s consider
something more familiar. Do you believe in the law of gravity? If so, where is it? Everywhere? Nowhere? Platonic Heaven? All we know
is that, when something is dropped, we expect it to fall. It always has, always does, always will.
Belief in the law of gravity is a standard, everyday belief. But if you replace “law of gravity” with “Form of Justice,” you may begin to
realize that, just as there is something that makes dropped objects fall, there is something that makes a just act just. This "something" is
the Platonic Form.
If there are such entities, they will play an important role in our theory of knowledge. Return to the law of gravity analogy. If we can
accurately describe the law of gravity, then we can also know the way an object behaves when it is dropped. If we know the law of
gravity, then our belief about what will happen when an object is dropped is justified. Similarly, if we can describe the Form of Justice
accurately, then we can be justified in beliefs that particular acts, policies, or governments are just or unjust. If we know the Form of
Humanity, then we can be justified in believing that someone is or is not human (and what makes a good human.)
Since Platonic Forms are the metaphysical grounding of reality, knowledge of reality is grounded in knowledge of the Forms. The Forms
are the entities through which all knowledge comes. If we can access them and know their true nature, then we are justified in any
beliefs to which they apply.
Plato’s epistemology was, and continues to be, significant and influential. He identified the crucial components of knowledge: to
have knowledge is to have a justified true belief. However, justification involves properly relating a belief to the world. For Plato,
this meant relating it to his metaphysical notion of essences, the Forms. To have an accurate grasp of one of these metaphysicallyreal essences is to be able to justify beliefs to which it applies.
Source: Image of Plato, PD, https://en.wikipedia.org/wiki/Plato#/media/File:Platon.jpg
TERMS TO KNOW
Epistemology
The branch of philosophy that analyzes and defends concepts of knowledge and the methodologies that attain it
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 60Plato Forms: The Foundations of Being
by Sophia Tutorial
Central to all of Plato’s philosophy is his Doctrine of the Forms (or, sometimes, Ideas — note the capital letters). Forms are the
basis of both his metaphysics and his epistemology: they are the grounds for all truth. If I say that “Bruiser is a dog” is true, it is
because there are truths about what makes a dog a dog. This tutorial begins by providing an overview of Plato’s theory, before we
consider why we should believe that there are such truths, the roles they fulfill, and how they interact with the world.
The tutorial examines forms as the foundations of being in Plato's philosophy, in three parts:
1. A Beginning Approximation
2. Forms as the Grounds for Reality
3. Participation and Particulars
1. A Beginning Approximation
Plato’s Doctrine of the Forms is central to his epistemology and metaphysics, because they ground both knowledge and being. Recall
that Plato considers essences as real entities. A real thing that is the essence of goodness, and is called the Form of Goodness, exists.
The same is true of justice, humanity, and other important essences. These things exist in an intellectual realm sometimes referred to as
Platonic Heaven (because it is analogous in many ways to the Christian heaven — e.g., it has no physical location.) Everything that is good
is good because it has some relation to the Form of Goodness.
Metaphysics
The branch of philosophy that seeks to uncover and describe the ultimate nature of reality
It may seem strange to think that there is a Form of Goodness that is everywhere/nowhere in Platonic Heaven. But let’s consider
something more familiar. Do you believe in the law of gravity? If so, where is it? Everywhere? Nowhere? Platonic Heaven? All we know
is that, when something is dropped, we expect it to fall. It always has, always does, always will.
Belief in the law of gravity is a standard, everyday belief. But if you replace “law of gravity” with “Form of Justice,” you may begin to
realize that, just as there is something that makes dropped objects fall, there is something that makes a just act just. This "something" is
the Platonic Form.
Perhaps an even clearer example is provided by numbers and mathematical entities.
Have you ever considered what is a number? It isn't a physical thing, but we know it exists in some way. But where and how does it
exist?
What makes the truths of mathematics true? Considering all of the things that have been accomplished with applied mathematics, it
would be strange to claim that “the fact that two plus two is four is true because concepts such as ‘two’ and ‘four’ are human inventions.
They are completely dependent on the human mind, human language and how we have chosen to designate things.”
Instead, most of us believe that the laws of mathematics were true even before humans existed, that the number two is a genuine entity
of some sort that has an independent reality, perhaps as a Platonic Form. (Note that many mathematicians identify themselves as
Platonists with respect to numbers, and make this claim about numbers.) It can be helpful to consider mathematics in this way when
attempting to understand Forms and Platonic Heaven. Plato developed a theory of mathematical Forms later in his life.
2. Forms as the Grounds for Reality
Why believe that there entities? Plato proposed that they must exist in order for knowledge to be possible. In the Cratylus, he argued
as follows:
“Nor can we reasonably say, Cratylus, that there is knowledge at all, if everything is in a state of transition and there is nothing abiding;
for knowledge too cannot continue to be knowledge unless continuing always to abide and exist. But if the very nature of knowledge
changes, at the time when the change occurs there will be no knowledge; and if the transition is always going on, there will always be no
knowledge, and, according to this view, there will be no one to know and nothing to be known: but if that which knows and that which is
known exists ever, and the beautiful and the good and every other thing also exist, then I do not think that they can resemble a process
or flux….”
Plato agreed with Heraclitus that the world we encounter through our senses is in flux (in fact, Plato cited Heraclitus when he made this
point in the dialogue). However, if this applies to everything, then knowledge is not possible. If every human is always changing, and
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 61humanity itself is changing, how can claims that “Bob is human,” or “Bruiser is not human” be true?
Since we can attain knowledge, it must be true that not everything is in flux. However, since the world of the senses is in flux as
Heraclitus described, it follows that what is not in flux cannot be of this world, but must belong to a metaphysical world, a world behind
the world, a Platonic Heaven of essences. Plato accepted Heraclitian Flux, but only in the world of the senses. Platonic Heaven, like the
world posited by Parmenides, is eternal and unchanging.
If we were to construct an argument about this, it would be as follows:
The world of experience is in flux. Premise/Factual Claim
If everything were in flux, knowledge wouldn't be possible. Premise/Factual Claim
Knowledge is possible. Premise/Factual Claim
Therefore, something outside our experience is not in flux. Conclusion
As we’ve discussed so far, Forms are essences that exist as individual entities in an intellectual realm. But what are Forms like? What
kind of things are they? Think of them as perfect objects — as paradigms or ideals.
The analogous relationship between mathematical objects and Forms can help us to understand what Forms are like. Consider a circle.
In all of the world, is there a perfect circle? The answer is “no.” If we examined the most precisely-drawn circles with a sufficientlypowerful microscope, we would find that their curves are not perfectly smooth. Also, we know that space itself curves slightly so,
therefore, no Euclidian shape exists in the world (i.e., the world of the senses). There are no perfect circles in the world. However,
there is perfection in Platonic Heaven. The Form of Circle is perfectly circular, and serves as the exemplar for all worldly circles.
3. Participation and Particulars
What then, is the relation between the Form of Circle and worldly, imperfect circles? Plato’s answer is “participation.” Worldly circles
participate in the Form of Circle just as humans participate in the Form of Human. But what does participation mean?
As indicated above, participation is grounding in truth. “Bob is human” is true, because Bob participates in the Form of Human. In this
way, Plato’s Forms are similar to other philosophical accounts of essences. Plato, however, went beyond those accounts of essences
by assigning a cause-and-effect relationship. For example, the Form of Human is the cause of Bob, as a human. Bob only exists as a
human because of the Platonic Form. This relation is also one of imitation. The worldly human imitates the ideal Form of Human.
Key aspects of participation include... Example
...a grounding of truth “Bob is human” is true because Bob participates in the Form of Human.
...a cause-and-effect relationship The Form of Human is the cause of Bob, as a human.
...an exemplar The worldly human imitates the more genuine, more real Form of Human.
These are complex concepts. As a result, they have been involved in many interpretive challenges and scholarly disputes. For example,
Plato insisted that there are mathematical Forms, ethical Forms (e.g., the Forms of Justice and Goodness), and logical and metaphysical
Forms (e.g., the Form of Being; the Form of Equality). However, some of Plato’s works seem to establish a Form any time there is a
universal (e.g., a Form of Wheel or Taco), which has some undesirable consequences. There are also logical problems (e.g., Forms
participating in other Forms).
This does not mean that Plato’s system is indefensible or broken. However, It is not possible to consider all of the details involved in
this issue in this introductory course. We must be satisfied with acquiring an understanding of the general concepts.
Plato’s Doctrine of the Forms is central to his epistemology and metaphysics, since Forms ground both knowledge and being.
Forms exist in an intellectual realm that, unlike the world of the senses, is eternal and unchanging. There, they serve as both the
cause and exemplar of the worldly entities that participate in the Forms.
Source: Cratylus text retrieved from The Gutenberg Files: https://www.gutenberg.org/files/1616/1616-h/1616-h.htm
TERMS TO KNOW
Metaphysics
The branch of philosophy that seeks to uncover and describe the ultimate nature of reality.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 62Applying Plato's Metaphysics
by Sophia Tutorial
In this tutorial, we’ll review both the central epistemological and metaphysical tenets of Plato’s doctrine of the Forms, and consider
these ideas in context.
This tutorial examines the application of Plato's Metaphysics in four parts:
1. Review of Plato’s Doctrine of the Forms
2. Forms as the Grounds of Knowledge
3. Forms as the Grounds for Reality
4. Participation and Particulars
1. Review of Plato’s Doctrine of the Forms
Central to all of Plato’s philosophy is his Doctrine of the Forms (or Ideas — note the use of capitalization). Forms are the basis of his
metaphysics and epistemology, because they are the grounds for all truth. Recall that Plato was interested in concepts, not only as
terminology, but metaphysically. He wanted to understand how they exist in reality, their essences.
Plato’s notion of essences is connected to his epistemology, and is the way in which knowledge becomes possible. Recall that, in
Plato's philosophy, knowledge is justified true belief. This definition (or an approximation of it) is still used and defended 2,400 years
later.
Metaphysics
The branch of philosophy that seeks to uncover and describe the ultimate nature of reality
Epistemology
The branch of philosophy that analyzes and defends concepts of knowledge, and the methodologies by which it is attained
2. Forms as the Grounds of Knowledge
How can we justify a belief? Recall the examples provided in the previous tutorial, which involved guessing the number of fingers held
up behind someone's back: seeing the fingers reflected in a mirror, being signaled by a friend, observing patterns, etc. What all had in
common was that they were somehow grounded in the world. Justification is tied to seeing the world as it is, to properly relating a belief
to the world as it exists. When you properly connect a belief to the world as it is, your belief is justified.
Therefore, in order to justify a belief, one must access the world as it really is. For Plato, this meant that he must know the essence of
things. If someone says, “I know that Jen is a human,” that person must know what a human is, what makes a human a human: its essence.
This is generally true of essences, but Plato held a nuanced (and influential) view of essences, his doctrine of the Forms or Ideas (i.e.,
the Platonic Forms — note how capitalization is used when referring to Plato’s concepts).
In Plato's philosophy, essences are real entities. A real thing exists that is the essence of goodness: it called the Form of Goodness.
The same is true of Justice, Humanity, and other important essences. The essences of these things do not exist in the world, but in an
intellectual realm sometimes called Platonic Heaven (because it is, in some ways analogous to the Christian heaven — e.g., it has no
physical location). Everything that is good is good because it has some relation to this essence, the Form of Goodness.
It may seem strange that there is a Form of Goodness that is everywhere/nowhere in Platonic Heaven. Let's consider an example that
involves something more familiar. Do you believe in the law of gravity? If so, where is it? Everywhere? Nowhere? Platonic Heaven? All
we know is that, when an object is dropped, it falls. If you replace “law of gravity” with “Form of Justice,” Plato's concept may begin to
seem less strange to you. Just as there is something that makes objects fall when we remove support from them (e.g., when we drop
them), there is something that makes a just act just. This is the Platonic Form.
If there are such entities as Forms, they must play an important role in our theory of knowledge. Let's return to the law-of-gravity
analogy. If we can accurately describe the law of gravity, then we can also know the way an object behaves when it is dropped. If we
know the law of gravity, then we are justified in our belief about what will happen when an object is dropped. Similarly, if we can
describe the Form of Justice accurately, we can be justified believing that a particular act, policy, or government is just or unjust. If we
know the Form of Humanity, then we can be justified in a belief as to whether someone is or is not a human being (and what makes a
good human being.)
Since Platonic Forms are the metaphysical grounding of reality, knowledge of reality is grounded in knowledge of the Forms. They are
the entities through which all knowledge comes. If we can access them and know their true nature, then we are justified in any belief to
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 63which they apply.
3. Forms as the Grounds for Reality
Recall that it can be helpful to consider mathematical entities and the realm of mathematics when attempting to understand Forms and
Platonic Heaven. Plato himself developed a theory of mathematical Forms later in his life.
Why should we believe that there are such entities as Forms? Plato maintained that Forms must exist in order for knowledge to be
possible. In an important way, Plato agrees with Heraclitus that the world we encounter through our senses is constantly in flux.
However, if this applied to everything, then knowledge would not be possible. If every human being is always changing, and humanity
itself is changing, then how can claims that “Bob is human,” or “Bruiser is not human” be true?
Since we can have knowledge, not everything is in constant flux. Since the world of the senses is in flux (as Heraclitus indicated), what is
not in flux cannot be of this world: it must belong, instead, to a metaphysical world, a world behind this world, a Platonic Heaven of
essences. Plato adopted Heraclitan Flux, but only with respect to the world of the senses. Platonic Heaven, like the world posited by
Parmenides, is eternal and unchanging.
As we’ve discussed, Forms are essences that exist as individual entities in an intellectual realm. But what are Forms like? What kind of
things are they? Think of them as perfect objects: as ideals, or paradigms. For example, consider a circle. In all of the world, is there a
perfect circle? The answer is no. Examination of the most-accurately drawn circles with a sufficiently-powerful microscope will reveal
that their curves are not perfectly smooth. Furthermore, we know that space itself curves slightly. As a result, no flawless Euclidian
shape exists in the world. In the world, there are no perfect circles. But perfection exists in Platonic Heaven. The Form of Circle — the
essence of Circle — is perfectly circular, serving as an exemplar for circles in the world of the senses.
4. Participation and Particulars
What is the relationship between the Form of Circle and worldly, imperfect circles? Plato’s answer was “participation.” Worldly circles
participate in the Form of Circle, just as humans participate in the Form of Human. But what is participation? As indicated above, it is a
grounding of truth. “Bob is human” is true, because Bob participates in the Form of Human. In this way, Plato’s Forms are similar to other
philosophical accounts of essences. Plato, however, went further by assigning a cause-and-effect relationship. According to Plato, the
Form of Human is the cause of Bob, as a human. Bob only exists as a human because of the Platonic Form. This relationship also
involves imitation. The human in the world of the senses imitates the real Form of Human.
Key Aspects of Participation include... Example
...a grounding of truth “Bob is human” is true because Bob participates in the Form of Human.
...a cause and effect relationship The Form of Human is the cause of Bob, as a human.
...an exemplar The worldly human imitates the real Form of Human.
These are complex concepts and, therefore, there have been (and continue to be) interpretive challenges and scholarly disputes. For
example, Plato maintained that there are mathematical Forms, ethical Forms (e.g., the Forms of Justice and Goodness), and logical and
metaphysical Forms (e.g., the Form of Being and the Form of Equality). However, some of Plato’s works seem to indicate a Form any time
there is a universal (e.g., a Form of Wheel or Taco). This can have undesirable consequences. Some logic issues are also involved, such
as Forms participating in other Forms. This does not mean that Plato’s system is indefensible. It is not possible for us to consider all of
the details of these disputes in this introductory course. We must be satisfied with acquiring a general understanding of these concepts.
Think about the main metaphysical and epistemological tenets of Plato’s doctrine of the Forms. How can we apply them to real-world
examples? According to Plato, what makes it true that a tree is a tree? Or that knowledge is possible? According to Plato, what makes
you a human being, and not something else? How does being able to answer these questions advance personal knowledge, and
knowledge within the sciences?
Plato’s Doctrine of the Forms is central to his epistemology and metaphysics, since they ground both knowledge and being. Forms
exist in an intellectual realm that, unlike the world of the senses, is eternal and unchanging. There, they serve as both the cause
and exemplars of worldly entities that participate in the Forms.
TERMS TO KNOW
Epistemology
The branch of philosophy that analyzes and defends concepts of knowledge and the methodologies that attain it
Metaphysics
The branch of philosophy that seeks to uncover and describe the ultimate nature of reality
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 64The Footnotes to Plato
by Sophia Tutorial
Alfred North Whitehead stated that the whole of European philosophical tradition “consists of a series of footnotes to Plato.” To
explain what he meant, Whitehead said, “I allude to the wealth of general ideas scattered through them. His personal endowments,
his wide opportunities for experience at a great period of civilization, his inheritance of an intellectual tradition not yet stiffened by
excessive systematization, have made his writing an inexhaustible mine of suggestion.”
Plato’s philosophy is a mine from which other philosophers, thinkers, religions, and cultures have extracted riches over the
centuries. In this lecture, we will consider some of Plato’s legacies in philosophy, mathematics, and how human endeavors ought
to be pursued. This selection of topics is not comprehensive, but is sufficient to convey the extent of his influence.
This tutorial considers the scope of Plato's intellectual legacy in three parts:
1. Philosophical Legacy
2. Platonism in Mathematics
3. Pursuing Truth Over Appearance
1. Philosophical Legacy
Plato left an indelible mark on philosophy. His Doctrine of the Forms was a landmark that connected epistemology to the way things are,
including essences. He was also (perhaps) the first to provide a comprehensive, interconnected and coherent metaphysics, cosmogony,
and ontology (i.e., the branch of metaphysics that examines the nature of being). His historical legacy includes the foundation of the
Academy and his instruction of Aristotle. When studying Plato, we don’t only consider his work in terms of its depth, or historical
accuracy (a practice 20th century philosopher Gilbert Ryle disparagingly called “tombstone polishing”). Instead, we rely on Plato when
we attempt to understand the metaphysical realities of the world.
Methodologically, Plato taught the importance of conceptual analysis and how to conduct it. His metaphysical accounts are also
influential. Every philosopher who develops a notion of essences must begin with Plato. Every epistemologist starts with Plato’s
account of knowledge. Many theologians have adopted his account of the Forms entirely, or have accepted aspects of his intellectual
realm and intellectual objects. Some theologians have gone so far as to define God as the personified Form of the Good.
Plato influenced (and continues to influence) many other areas of philosophy, too many to list here. Whitehead did not overstate his
case. Much of philosophy, and theology, implicitly or explicitly begins with Plato. However, his philosophy has also impacted other
disciplines.
2. Platonism in Mathematics
Recall that Plato’s Doctrine of the Forms is highly compatible with mathematical idealization. This applies to geometry (Platonic Forms as
the basis of geometric shapes) and arithmetic (numerals as Platonic Forms).
In higher mathematics, some have posited the existence of sets as Platonic objects. Positing Platonic objects enables mathematicians to
solve otherwise-unsolvable problems. For example, a Platonist account enables the solution of a number of problems including why
mathematical approximations seem to obtain in reality; and why it seems like mathematical truths are discovered, not created (and that
those discoveries seem to be independent of the physical sciences — mathematical entities seem to be abstract, but also seem to
exist).
Mathematical Platonism is so useful that even mathematicians who do not want to commit to Platonist metaphysics sometimes take a
position called “working realism.” This means that they perform their work in theoretical mathematics as if Platonism is true. This
methodology is helpful in many ways, including its implication that all mathematical problems are solvable.
A famous mathematical Platonist, Kurt Gödel, made such claims much more difficult by proving that mathematical systems display a
certain type of incompleteness.
3. Pursuing Truth Over Appearance
In a dialogue called the Gorgias, Plato asked (and attempted to answer) an interesting question: what is a genuine techne, or “craft”?
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 65The term, “technology” comes from the Greek words techne and logos.
The question was important to Plato because it involves the distinction between philosophy and rhetoric. He viewed the former as
genuine craft, and the latter as a pseudocraft.
Plato argued that philosophy is a genuine craft because its subject matter is a Form or Forms, specifically, the Forms of Wisdom and
Truth. Rhetoric, which superficially resembles philosophy in its emphasis on argumentation, fails to have a Form as its subject matter. As
we have seen, rhetoric is concerned with appearances. (Plato didn’t have a high regard for simply “winning debates,” so he relegated
rhetoric to the realm of appearances.)
Plato provided other pairs of activities in which the first is a genuine techne or craft, and the second is a pseudocraft. One of the
genuine crafts is medicine, which takes as its subject the Form of Health. The corresponding pseudocraft (which only looks like
medicine) is called “cookery” — what we would call "quack remedies." These remedies might create an appearance of health without
really producing that state. Plato also paired gymnastic or exercise, which aims to produce bodily Health, with a pseudocraft called
“beautification” or makeup. Makeup, like cookery, might create an appearance of physical health, but nothing more. Consider people
who visit a gym to build up their arms, but never another part of their bodies, or those who inject substances to enhance muscle
appearance (e.g., Synthol).
Try to think of some more pairs of crafts which seek to attain truth and corresponding psuedocrafts that focus on appearances.
Consider diets formulated by a dietician vs. fad diets; genuine relationship compatibility vs. ineffective computer matching; using
proper grammar vs. common slang expressions, etc. What all of these pairs have in common is that the pseudocraft is focused on
achieving what is appealing/marketable. This describes the activity in which the sophists were involved in Socrates’ time: it was
focused on appearances, not truth.
These examples of genuine crafts have been presented to emphasize that philosophy, in light of its regard for wisdom and truth, is a
model activity for a human being, nourishment for the soul and the rational side of our nature. Any craft should, as a proper human
activity, involve the pursuit of truth.
Humanity’s debt to Plato’s philosophy cannot be overstated. Those who become involved in metaphysics and epistemology in the
course of studying philosophy and theology, are deeply engaged with Plato's work — implicitly or explicitly. A Platonic conception
of mathematical objects has been of great value in theoretical mathematics. Plato’s account of techne helps us to distinguish (and
value) genuine human endeavor from mere marketing ploys.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 66Aristotle: The Dissection of Reality
by Sophia Tutorial
Plato’s student, Aristotle, was one of the most influential thinkers of all time. We say “thinker” rather than “philosopher” because
his influence stretches far beyond philosophy. His groundbreaking work in astronomy, biology, physics, and formal logic had a
greater impact on science than that of any other individual in history. In this tutorial, we investigate Aristotle's work, focusing on the
differences and similarities between his philosophical approach and Plato's.
This tutorial examines Aristotle's approach to, and interpretation of, reality in two parts:
1. Aristotle’s Scientific Approach
2. The Mathematician and the Biologist
1. Aristotle’s Scientific Approach
When attempting to gain an overview of Aristotle's work, it is helpful to think of him as, first and foremost, a biologist. Though not all of
Aristotle’s writings have been preserved, he wrote twice as much on biology as he did on philosophy (and he wrote a lot on
philosophy). That is not to say that all of his philosophical questions have been answered in terms of biology, but it does help us to
understand his perspective.
Aristotle took a “hands on” approach to the search for knowledge.
As far as we know, Aristotle was the first scientist to dissect animals. Also, he identified approximately 500 species of fish, mammals
and birds using binomial nomenclature, a method that is still used by biologists today.
In philosophy, Aristotle began his investigations with specific knowns (i.e., examples found in the world). When Aristotle wanted to
understand goodness he began by researching past approaches to ethics (i.e., accounts of goodness) to determine whether they were
satisfactory, before developing a system of his own.
Aristotle can be credited with the invention of academic research. The school he founded, the Lyceum, became a repository of
knowledge. When his research led him to conclude that existing accounts were unsatisfactory, he developed an account of his own.
When he did so, Aristotle used a known (i.e., something he knew could be, or was, true), as the starting point for his inquiry. If we want to
know about the human essence, Aristotle's research method directs us to begin with individual humans rather than an abstract Form of
Humanity. Aristotle held that starting with the known world (i.e., the one we encounter through our senses) rather than an abstract realm
of metaphysics, was the best way to begin a philosophical inquiry.
2. The Mathematician and the Biologist
When attempting to gain an understanding of Aristotle's approach and accomplishments, it may be helpful to consider two later
epistemological viewpoints: empiricism and rationalism. These two perspectives are distinguished by their identification of the
source of knowledge.
Empiricism
The epistemological view based on the claim that all knowledge is grounded in experience
Note the “grounded” qualification included in this definition. Empiricists do not claim that everything one can conceive of must have
been experienced by that person. For example, a person does not have to have seen a golden mountain in order to refer to, or think
about, one. He or she only needs ideas of "gold" and "mountain" to combine. Empiricism maintains that all of our building blocks come
from experience, and that those building blocks can be combined into ideas we have not experienced. This epistemological viewpoint
is contrasted with rationalism:
Rationalism
The epistemological view based on the claim that humans can access certain conceptual truths independent of experience
It is important to understand that rationalism is not the opposite of empiricism. Empiricism maintains that knowledge only comes from
the senses. That does not mean, however, that rationalism denies that the senses are a source of knowledge. Instead, rationalism
denies that knowledge only comes from the senses. Empiricism claims that there is one source of knowledge. Rationalism asserts that
there are two.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 67Empiricism and rationalism are in agreement on most issues. Rationalists grant all of the empirical truths of the sciences learned through
experience, all knowledge of the senses, etc. The area of disagreement is mostly involved with concepts — but not all concepts. For
example, empiricism and rationalism both grant that human minds have the power of abstraction. Humans can conceive and discuss a
concept of horse derived from individual horses. What kind of concept, then, does the rationalist propose as knowable, independent of
experience? The primary area of digression involves large metaphysical concepts about causation. Many rationalists hold that claims like
“nothing comes into existence un-caused” are conceptual truths that must be true independent of experience. However, empiricists
maintain that this is something that is known only through experience.
The following example provides only a rough overview of these distinctions, but if we think of epistemology as a scale, with pure
empiricism at one end and pure rationalism at the other, we can place Aristotle very close to the empiricism end of the scale, and Plato
close to the rationalist end.
Aristotle’s scientific approach is primarily empirical. He maintained that we learn about humanity by abstracting from particular humans.
This is what we would expect from a biologist. Plato, however, frequently appealed to a realm of pure intellect, known as Platonic
Heaven, where the Forms reside. Recall that the Forms are analogous to mathematical objects or entities. Plato, in some of his writings,
implied that we may learn about the Forms in between lives and later recollect them, or access them through pure philosophical
reasoning. Either of these methods, as a result of the topics involved, are unsatisfactory to empiricists. Empiricists don’t object to
mathematical entities, but do not accept mathematical entities that interact causally with the world.
Raphael di Santi captured the contrast of approaches between Plato and Aristotle in his painting, The School of Athens.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 68Raphael's The School of Athens, painted between 1509 and 1511
The painting depicts a number of Greek philosophers, each of them engaged in an activity related to their philosophy and/or life. Take a
look at the two figures in the middle of the painting.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 69Close-up view of Plato and Aristotle in Raphael’s The School of Athens
Study the image above and consider the differences in approaches between Plato and Aristotle. Which of the figures do you think is
Plato, and which one is Aristotle? Why? In what ways has Raphael depicted the differences between the approaches of Plato and
Aristotle?
On the left is Plato, pointing to the heavens. Aristotle, on the right, gestures at the ground (trying to bring Plato down to earth). This
indicates the fundamental difference in their approaches to learning. For Plato, inquiry begins in the metaphysical realm of the Forms.
Aristotle's approach begins with the world around him.
Click the link to explore Raphael’s painting “School of Athens” and learn more about the other Greek philosophers depicted in it.
http://www.hellenicaworld.com/Greece/Science/en/SchoolAthens.html
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 70Aristotle studied under Plato for years. Although he was a brilliant student, he was not an uncritical disciple. The most fundamental
difference between teacher and student was in their approaches to learning, their starting points in the quest for knowledge.
Plato, who was epistemologically closer to what would later be called rationalism, sought knowledge in near-mathematical Forms
and the realm of metaphysics, the world behind the world. Aristotle began his search with the world around him. Unsurprisingly,
Aristotle’s work involves the sciences to a great extent. His epistemological view was closer to what was later called empiricism.
Source: Image of The School of Athens, PD, https://en.wikipedia.org/wiki/The_School_of_Athens#/media/File:Sanzio_01.jpg Image
of close up of Plato & Aristotle from The School of Athens, PD,
https://en.wikipedia.org/wiki/Plato#/media/File:Sanzio_01_Plato_Aristotle.jpg Plato Bust, PD,
https://en.wikipedia.org/wiki/Plato#/media/File:Plato_Silanion_Musei_Capitolini_MC1377.jpg Aristotle Bust, PD,
https://en.wikipedia.org/wiki/File:Aristotle_Altemps_Inv8575.jpg
TERMS TO KNOW
Rationalism
The epistemological view centering around the claim that humans can access certain conceptual truths independently of
experience
Empiricism
The epistemological view centering around the claim that all knowledge is grounded in experience
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 71Aristotle on What There Is
by Sophia Tutorial
Recall that Aristotle based his philosophy on his perceptions of the material world, on what he could observe. In this tutorial, we
will consider Aristotle’s Categories, which provide his account of what we can infer about reality, based on what we can observe.
This tutorial investigates Aristotle's conclusions about the nature of reality in five parts:
1. First Philosophy: Ontology
2. Universals and Particulars
3. Substance
4. Aristotelian Essences
5. Hylomorphism
1. First Philosophy: Ontology
Throughout history, philosophers have discussed first philosophy. This is a pedagogical concept, indicating what must be studied and
learned first in order to advance in the field of philosophy. Philosophers have defended different candidates for first philosophy — many
believed that it is logic. It has been asserted that Plato’s rule was that no one could become a student of the Academy until he or she had
first mastered mathematics. Much later, Descartes said that epistemology was first philosophy. Aristotle's selection, however, was
ontology.
Ontology
The branch of metaphysics that examines the nature of being
Ontological questions center around what kinds of things exist, and how they exist. “Does x depend on y in order to exist?” is an
ontological question. Ontology is, therefore, a good candidate for first philosophy. Knowing what kinds of things exist is a good place to
begin for anyone who wants to advance in any field. This is especially important if you consider the nature of truth. What makes a
statement true? Most people would answer that it is because the statement corresponds with reality in some way. What makes “Don is
bald” true? Most would think that it is because a person named Don exists, and this person lacks hair on his head. If our interest is in
truth, then we must give an account of what is.
2. Universals and Particulars
Consider this assertion: “The chair is broken.” What is required in order to be able to say that this statement is true? You would need to
assert that there is an object that it is a chair, and that it exists in a certain state. But notice that three things have been asserted in saying
that the chair is broken:
There is a specific object that exists
That object is a chair
That object (the chair) exists in the state of brokenness
You need two concepts, the concept of “chair” and the concept of the state of “broken”, and you need an existence claim, that the chair
exists in this state, in order to make this assertion.
Let’s set aside brokenness and focus on the claims involved in saying “there is a chair” (i.e., “there is an object that exists, and it is a
chair”). To say “there is a chair” is to say that this specific object matches the concept of chair. To say there is a chair, you therefore
need “this object (chair)” and also the concept, “chair.” In terms of philosophy, this illustrates the difference between a particular and a
universal.
Particular
A concrete, extant entity
Universal
An ontological category that is common to multiple particulars
Aristotle’s definition of a particular is a little simpler than the one above. He called a particular a "this,” which seems vague and unhelpful
until you think it through. We can refer to “chair” (the universal entity which applies to multiple chairs) or this chair (a particular chair).
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 72“Human” or “this human,” and so on. We can even talk about properties, such as the universal “blue,” versus the particular, “this blue.”
As a result, a “this” is very helpful in thinking about particulars. Take any concept for which we have a general term (e.g., “car”), and put
“this” before it (i.e., “this car”). When you do so, you move from referring to the universal concept to the particular. Note that “universal,”
in this instance, means "more than one," not "all" or "every."
All of this is to say that, if we grant that it is true that the chair is broken, we have entered three kinds of thing into our ontology:
particular chairs, the universal chair, and the universal quality of being broken. All are required in order to say that the statement is true.
Similar categories are involved whenever we make a claim to truth. Consider claims like, “humans are rational.” We posit particular
humans, humanity, and rationality. As we continue to make claims to truth we will notice a pattern.
3. Substance
We should notice that these simple statements contain a subject and a predicate.
Dust off those grammar skills! Remember that subjects and predicates are parts of a sentence. The subject of a sentence is what (or
who) the sentence is about. The predicate tells you what the subject is doing or has done or will do. In this sentence — “The chair is
broken.” — the chair is the subject, and “is broken” is the predicate. The subject and predicate are used to describe reality
accurately.
Likewise, in reality, we have a thing, and a property attributed to that thing. To accurately describe that property as belonging to that
thing is to speak truly. Therefore, our ontology includes a collection of things. The technical term Aristotle used is for this category is
“substance,” which indicates any subject. Shoes and ships and sealing wax are substances, as are you and I. There are also ways (states
or conditions in which) those things can be: dented, blue, over 12 feet tall, etc. Aristotle established nine categories of ways things can
be:
Ways of Being Example
Quantity Five
Quality Blue
Relation Greater than
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 73Place In front of the TV
Time Last year
Position Sitting
State Unarmed
Action Reading
Affection To be read
Anything that can be said to exist falls into one of these ten categories, either a substance or a way of being. However, substance has
ontological primacy over the other nine ways of being. That is, substance can exist without the other nine, but they cannot exist
independent of substance. They are, therefore, ontologically dependent on substance.
There can be a fender without a dent, but there cannot be a dent without a fender. Blueness cannot exist by itself:
There are only blue things.
Note that by making individual substances ontologically primary, Aristotle disagreed significantly with Plato. Plato posited a Form of
goodness, for example, that is independent of any individual good person. Aristotle asserted that there cannot be goodness without any
good individuals.
4. Aristotelian Essences
Aristotle’s ways of being are related to his notion of essence. As an example, consider the essence of humanity. Since it applies to
many humans, it must be a universal entity. However, since you can truly assign properties to the universal humanity (as in the assertion
that “humanity is rational”), the universal humanity must be substantial. But because humanity, like blueness, cannot exist independently,
the human essence (i.e., humanity) must exist in individual humans. Unlike Plato, Aristotle discovered humanity in people.
Aristotle’s ontology provides us with an easy way to identify an essence — a way to quickly identify what Plato agonized over. If we want
to discover and describe the human essence, all we need to do is isolate two things: a genus and a differentia. The genus tells us what
kind of thing it is. The differentia tells us what sets it apart from other things of the same kind. Let’s take a look at two examples:
Suppose we want to identify the essence of a hammer. We can ask, what kind of thing is it? Our answer would be that it
is a tool. Next, we might ask, what distinguishes hammers from other tools? The answer in this instance might be that they are used
for pounding. Our investigation leads us to conclude that the essence of a hammer (i.e., what makes a hammer a hammer) is that it is a
tool used for pounding.
Let’s try another example and identify the essence of a professor. What kind of thing is a professor? A professor is a
teacher. What distinguishes professors from other teachers? They teach at the collegiate level. Therefore, to be a professor is to be
a college-level teacher.
So what kind of thing is a human? A human is a biped (i.e., walks on two legs). What separates humans from other bipeds? Rationality
separates humans from other bipeds. Therefore, a human is a rational biped (or a rational animal, depending on whether Aristotle was
writing about philosophy or biology).
If this sounds familiar, it is because we still use Aristotle’s concept in biology. In the system of binomial nomenclature, an organism is
named with a genus and a species. Homo sapiens is Latin for rational biped, or wise man, which distinguishes them from
Neanderthals, Cro-Magnons, and other hominids. We still use genus and differentia to determine what kind of thing an organism is.
5. Hylomorphism
What is a human? According to Aristotle, a human is a union of form (essence) and matter. This is an instance of hylomorphism.
Hylomorphism
The metaphysical theory that posits being as a union of form and matter
This is the foundation of the concept, but more needs to understood to define it fully. Although we have been using humans as an
example, this is a theory of being. It therefore applies to everything, to every Aristotelian substance: any subject — animal, vegetable, or
mineral; any individual item that is an instance of a natural kind (i.e., species, in Aristotle’s system).
As a theory of being, hylomorphism involves an intimate, possibly essential, relationship. The standard interpretation of Aristotle’s
theory is that existence is a package deal: You don’t have formless matter waiting to be shaped. Instead, you get matter and form, or
nothing at all. There is no formless matter, we can only talk about it conceptually (when doing so, it is referred to as “prime matter”).
There is no matterless form either. There is no such thing as humanity independent of individual humans (despite Plato's assertions).
Aristotle explains this by using an analogy with wax. Conceptually, we can separate wax into its matter, the stuff of which it is composed,
and its shape. However, this distinction is purely conceptual. There is no such thing as shapeless wax (meaning that is has no shape
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 74whatsoever), and there is likewise no such thing as shape without something to be shaped.
Based on this overview of hylomorphism, it is evident that there can be interpretive difficulties with this theory. First, we need to inquire
as to the nature of the form. Is the form of a living thing just a structure (i.e., a blueprint for producing humans, like DNA), or is it more
than this? In living things, Aristotle equated "form" with "soul." However, it would be wrong to assume that Aristotle used “soul” in the
same way we use it today.
The ancient Greek word he used was “anima,” which is etymologically related to “animal” and “animate.” Aristotle’s notion of soul/anima
is that which makes a living thing alive: an animating force. When considered in this way, it is clear that he did not intend to define
hylomorphism in quasi-religious terms. Aristotle was not convinced that there was an afterlife (though in some of his works, he left open
the possibility that intellectual thought may survive physical death because thought does not belong to any part of the body, but is
somehow independent of it). However, that only tells us what the anima is not. We know that souls provide an organizing principle. We
don’t know what else, if anything, they provide.
Aristotle held that first philosophy was ontology: that we must determine what kinds of things exist in order to progress in our
studies. As grounds for truth, he posited ten categories of being, of which substance was the primary category. One important
kind of substance is species, which is a universal entity that exists in particulars (e.g., universal humanity existing in particular
humans). An easy way to identify these essences is to discover the genus and differentia, a technique so useful that it is one of the
few that have continued to be used in science for over two millennia.
Source: Car by Xinh Studio from the Noun Project, https://thenounproject.com/search/?q=car&i=33039 Car by Hopkins from the Noun
Project, https://thenounproject.com/search/?q=car&i=884883 Car by alrigel from the Noun Project,
https://thenounproject.com/search/?q=car&i=1168315 Car by alrigel from the Noun Project, https://thenounproject.com/search/?
q=car&i=1168307
TERMS TO KNOW
Hylomorphism
The metaphysical theory that posits being as a union of form and matter
Ontology
The branch of metaphysics that examines the nature of being
Particular
A concrete, extant entity
Universal
An ontological category that is common to multiple particulars
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 75Plato vs. Aristotle: The Mathematician or the Biologist
by Sophia Tutorial
Plato and Aristotle, teacher and student, are two of the most influential thinkers in history. Their systems of metaphysics are
extremely different in some ways, but they have important commonalities as well. In this tutorial, we will highlight their similarities,
then contrast their differences.
This tutorial examines the similarities and differences between the philosophies of Plato and Aristotle in two parts:
1. Some Important Similarities
2. Their Main Points of Disagreement
1. Some Important Similarities
At first, it may seem that Plato and Aristotle, the mathematician and the biologist, took radically different approaches in searching for the
truth. However, this is usually the result of over-emphasizing their differences. It would be surprising if Plato and Aristotle were
completely opposed in all of their beliefs, since Aristotle studied under Plato at the Academy for 20 years. Clearly, Aristotle found the
study of Plato’s philosophy to be a good use of his time.
To identify their significant similarities then, we must understand that Plato taught Aristotle traditional philosophy. As a result, there are
more similarities in their views than differences. Those who study (and teach) philosophy — as both of them did — pursue truth, above all
else.
When Aristotle criticized or disagreed with Plato in his writings, he sometimes prefaced his criticism with a reminder that Plato taught
him to value truth above all else, including friendship. Since Plato was also a philosopher, he would have approved of Aristotle's
reminder.
Plato and Aristotle agreed that we must pursue truth by using reason and logic, rather than passion, emotion, and bias.
Both of them were metaphysicians, who proposed metaphysical entities which grounded the known world. For example, both Plato and
Aristotle were realists with respect to essences. They maintained that essences existed, and that they were genuine truth-grounding
entities.
However, not all philosophers believe this. Nominalists, for example, deny that essences exist in this way. Instead, they maintain that
“essences” exist in name only, as linguistic coincidences, or that they are determined by biology, not metaphysics. Nominalists claim that
what makes a just act just is that humans have defined what justice means. Acts which satisfy the definition's criteria are just acts.
The work of Plato and Aristotle shares additional metaphysical commonalities. For example, their accounts of the cosmos considered
notions like cause-and-effect metaphysically, rather than scientifically (recall that this is why we did not identify Aristotle as a complete
empiricist). They also used metaphysics to explain how entities in the world should be. These points continue to be debated by
philosophers, but Plato and Aristotle did not disagree on them.
Essence
What makes a thing what it is
2. Their Main Points of Disagreement
The primary differences between the philosophies of Plato and Aristotle are differences within metaphysics and epistemology. Most of
them are related to Plato’s Doctrine of the Forms, a doctrine that Aristotle rejects almost completely.
Remember that Forms are Platonic essences. As mentioned above, both Plato and Aristotle believed that essences exist, and that they
are the grounds for truth. Plato’s essences are Platonic Forms — real, metaphysical entities that exist in a non-physical realm. Individual
entities are who or what they are because of their participation in the relevant Form. For example, consider the Form of Humanity. It is
the human essence, which determines what it is to be a human. It represents humanity in its truest sense. Human beings are human
because they participate in (and are, therefore, imperfect imitations of) the Form of Humanity.
Although Aristotle agreed that humanity is a genuine entity (a substance in Aristotle’s terminology), it is not a Platonic Entity. First,
Aristotle maintained that humanity was not located in Platonic Heaven, but in every individual human being. One human is different from
another, not because they are both imperfect copies of a perfect Form of Humanity, but because they are composed of different matter.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 76Another important difference between Plato and Aristotle regarding Forms is an ontological point. (Recall that ontology is the branch of
metaphysics that examines the nature of being.) In Plato's view, the Form of Humanity (and, therefore, the human essence) exists
whether or not there are any individual humans. Aristotle believed that, in the absence of individual humans, there is no humanity: there
is no longer a human essence. How essences exist was an area of significant difference between the two thinkers.
Substance
The “what it is” of any given thing.
Remember that essences ground truth. Therefore, where and how essences exist determine the way we come to know truth. These
metaphysical differences lead to important epistemological differences. Aristotle believed that essences are in the world. In order to
learn the true nature of humans, we must examine individual humans and identify their essential features. Aristotle searched for truth
empirically: by examining the world.
Plato maintained that essences exist independently of the world, in a metaphysical realm, a world behind the world. Therefore,
knowledge of things as they truly are requires us to go beyond the changing realm of appearances and contemplate the unchanging
realm of the Forms. This is a rationalist approach.
For example, Plato’s ethics begins with a contemplation of the nature of goodness and justice. Aristotle’s account of ethics begins
biologically, with a consideration of human physical characteristics.
Whose approach to philosophy seems better, Plato’s or Aristotle’s? Here are a few questions that may help you to decide:
If you remove all humans, are there still truths about human essence (not to be confused with truths of human history)? Plato
says yes, Aristotle says no.
What is the best way to study mathematics? Should you begin with pure math or applied math? Plato says pure math, Aristotle
says applied math.
Can I say 5 is greater than 3, or only that 5 apples is greater than 3 apples? Aristotle is limited to the latter response.
Consider gravity. We know that every object falls because of the law of gravity, but is the law of gravity contained in each bit
of matter in the universe, or does the law of gravity exist outside of, and act upon, all matter? This is not an easy question to
answer. Even physicists are split on the point. However, Aristotle would say the former, and Plato, the latter. The question to
ask yourself is, if there were no matter in the universe, would the law of gravity still be true? Plato says yes, Aristotle says no.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 77Plato and Aristotle are philosophers who committed their lives to realizing truth through reason. Although both of them posited
essences as genuine metaphysical entities, their accounts of metaphysics led to very different metaphysical, epistemological and
methodological results. Most of these differences involve the ontological status of essences. Plato says that essences exist
outside of, and are independent of, particulars. Aristotle maintains that they are within particulars, and only exist if some of the
particulars do.
TERMS TO KNOW
Essence
What makes a thing what it is
Substance
The “what it is” of any given thing
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 78Aristotelianism: The Naturalistic Worldview
by Sophia Tutorial
In Aristotle’s lifetime, he was known as “the man who knew everything,” with no sarcasm intended. His breadth of knowledge was
the reason that Alexander of Macedonia (i.e., Alexander the Great) sought him out as his private tutor. During the Middle Ages,
Aristotle was referred to as, “the Philosopher” (note the capital “P”). In this tutorial, we will examine some of Aristotle's intellectual
legacy.
This tutorial provides an overview of Aristotle's worldview in two parts:
1. Aristotle’s Intellectual Legacy: Naturalism
2. Formal Logic
1. Aristotle’s Intellectual Legacy: Naturalism
If you were asked to summarize Aristotle’s contributions to humanity in a single word, “science” would be a good answer. He was not
the first philosopher to consider topics that are now seen as scientific (recall the contributions of the Pre-Socratics), but Aristotle was
innovative in keeping science self-contained. Like the Pre-Socratics, he did not use divine involvement to account for phenomena he
could not explain. He also did not rely on metaphysical abstractions like “humanity”. Although Aristotle used metaphysics (even in his
biology), his descriptions of reality and explanations of phenomena were based in this world. They could — and should — be studied,
measured, quantified, and tested.
Today, we call this kind of worldview naturalism. The naturalistic worldview specifically excludes the supernatural and, in so doing, forces
us to deepen our understanding of the natural world. Naturalism does not necessarily exclude any notion of, or belief in, the
supernatural. Instead, it denies the supernatural any role when explaining natural phenomena. This is the standard observed by science
today.
When we assume that there are natural explanations, we look for them, and science advances. When we accept a supernatural
explanation, we cease looking for natural causes, and science stagnates. For example, if, when crops fail, witches are blamed, natural
causes are not investigated. Areas including irrigation, fertilizer, crop rotation, and more are not explored. Potential remedies and
improvements are left undiscovered. The same thing happens when metaphysical abstractions are accepted as explanations. Someone
who believes (without foundation) that it is human nature to degenerate, will not discover medical treatments for diseases.
This approach is called methodological naturalism. It doesn’t deny the existence of supernatural entities, but asserts that science must
not accept non-natural explanations for phenomena. As a result of this contribution by Aristotle, the sciences have enjoyed much
success.
Consider an example from Aristotle’s ethics. Aristotle didn’t look for the foundations of ethics by performing conceptual analyses on the
good and the just (as Plato did). Instead, he grounded his ethics in biology, on the kind of entities that humans are, and should be,
according to their biological nature. He applied this naturalistic method with great success, especially when combined with his
introduction of research.
Aristotle was one of the first (if not the first) investigators to gather and analyze works on a topic before beginning his analysis, and
before coming to any conclusions. This research methodology, combined with his methodological naturalism, led him to become known
as the Father of Biology, the Father of Physics, and (sometimes) the Father of Astronomy. The need to precisely define natural kinds led
him to develop binomial nomenclature, and to perform some of the first dissections.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 79Aristotle with a bust of Homer, by Rembrandt
Aristotle studied ocean creatures by examining, and sometimes dissecting, the fish and other animals caught by fishermen. He
described the hectocotyl arm of the male octopus, which is used in sexual reproduction. He also accurately differentiated aquatic
mammals from fish, including sharks.
Aristotle’s contributions to the sciences cannot be overstated. In addition to almost single-handedly creating the science of biology, he
introduced the use of formal research processes and methodological naturalism, which benefited all of the sciences.
2. Formal Logic
Aristotle is also known as the Father of Logic. Although every philosopher before Aristotle used logic, argument, and reasoning to
pursue truth (e.g., Socrates), Aristotle was the first to treat logic as a separate discipline, analogous to mathematics (i.e., it can be
studied, formalized, and proven). He was the first to use logic according to precise rules that determined validity. This was a significant
advance in the development of reasoning. Knowing which conclusions follow from which premises is crucial. Here is an example of how
Aristotelian logic can help us to make valid arguments.
People often like to give one-premise arguments that are, in fact, two-premise arguments. For example, “Some
immigrants from country X have committed crimes. Therefore, we should not allow people from that country to enter the U.S.”
Aristotelian syllogistic logic enables us to understand that, in order for this conclusion to be valid, we must have an implicit first
premise, of the form, “We should not let people enter the U.S. who are from a county whose immigrants have committed a crime.”
But is this premise defensible? No. If this premise was accepted, no one would be allowed to enter the U.S., including U.S. citizens.
Aristotle’s formal system of syllogistic logic is good at detecting weak reasoning, and teaches us to base our thinking and our arguments
on reason, not emotion. In developing formal logic, Aristotle also introduced purely syntactical methods (that is, focusing entirely on
structure, without any need to examine semantic content) for determining logical consequences. This was the first step in the
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 80development of computers (and computer programming). Aristotelian syllogism represents the beginnings of formal logic, but it is not
only of historical interest. It continues to be studied in courses on logic and critical thinking, and questions involving its use are included
in standardized testing.
Aristotle’s philosophical legacy is only a small part of his overall intellectual legacy. His approach to questions and explanations
resulted in the establishment and accomplishments of science as we know it. His formalization of logic improved the process of
reasoning and led to the development of advanced logical systems used in electronic circuitry and computers. His contributions
continue to impact modern lives in a variety of ways.
Source: “Aristotle with a Bust of Homer” by Rembrandt, CC, https://en.wikipedia.org/wiki/Aristotle#/media/File:Rembrandt_-
_Aristotle_with_a_Bust_of_Homer_-_WGA19232.jpg
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 81Aristotle's Highest Good
by Sophia Tutorial
Anyone who wants to relate ethics to how humans should be (in the biological sense) will confront — and use — Aristotelian ethics.
As a result, many neo-Aristotelians are involved in the field of contemporary ethics. In this tutorial, we will investigate three major
components of Aristotle’s ethics: the Function Argument, the relevance of virtues to ethics, and the Doctrine of the Mean.
This tutorial examines Aristotle's ethical philosophy, in three parts:
1. The Function Argument
2. Virtue Ethics
3. The Doctrine of the Mean
1. The Function Argument
In order to advance your ability to understand and apply ethics, you must provide a plausible answer this question: “What makes an
action good?” If you cannot state what makes an action right or wrong in general, you cannot participate in a meaningful discussion of any
moral issue. If you cannot say why an action is right or wrong, then (for example), a debate about abortion is simply an exercise to
determine who can talk louder.
However, if you can identify what it is that makes an action right or wrong, you can use that standard to evaluate any potential action.
Aristotle’s Function Argument provides an answer to "What makes an action good?" (i.e., what makes an act right or wrong), and to
"Where does value comes from?"
The Function Argument takes this form: Start with something you know can be good, or not. For example, a steak knife. Next, ask,
“When is it good?” The steak knife is not good when it cuts meat, but when it cuts meat well. Something is good when it excels at its
function. This is true of everything.
Take several examples of something you know can be good, but isn’t always good. Is it true that the difference between times when
the thing is good, and times when it is not good, is whether it fulfills its function well (or not)?
When considering examples (e.g., a good meal, a good cell phone), it quickly becomes clear that a thing’s function is tied to what kind of
thing it is. Function follows essence. What makes a thing what it is tells us how that thing should be.
Since no one wants to be an excellent steak knife or an excellent puppy, we must consider the human essence, which is to be a rational
animal. To be a good human is to excel at being a rational animal or, more precisely, to cultivate the virtues conducive to excellence as a
rational animal.
2. Virtue Ethics
Aristotle’s Function Argument connects function to excellence. The word Aristotle used is “arête,” which is translated as "virtue" or
"personal excellence." Aristotelian ethics is concerned with answering this question — “What kind of person should I be?” — rather than
“How should I act?” (the question that is now the norm in ethics). These two questions are clearly related, but differ in their primary
consideration. For Aristotle, character was primary. Actions are evaluated based on how they inform your character (e.g., Does an action
make you greedy? Smug? Generous? Brave?).
Aristotle used biology to answer “What kind of person should I be?” in a way that, when we must act, we will act according to our
individual characters. The kind of character to be evaluated is based on what kind of thing we are (i.e., rational animals). By “rational,”
Aristotle meant something very specific. Since rational is of our essence, it is what separates humans from other animals. Humans are
the kind of thing that can think abstractly (not just of what to do in a particular case, but in general). Humans can plan the best ways to
achieve their goals (which are focused on their happiness).
For this reason, an essential component of rational choice is deliberation. We deliberate on how we can best achieve the good life, and
on what kind of person each of us should be. This tells us the way we should be, and the virtues we should have.
3. The Doctrine of the Mean
Once we have determined the virtues we must cultivate, and have cultivated them, we must begin to manifest them. This is not easy,
because virtue comes in degrees. For example, courage is a virtue we should cultivate. Rational deliberation indicates that we should be
courageous people, as part of human excellence. However, we must determine how courageous we should be.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 82To answer this question, Aristotle provided the Doctrine of the Mean. Like other Aristotelian arguments, it begins with something we
know: First, take something we know can be a virtue, such as courage. Next, ask "when is courage not a virtue (i.e., when is it a vice)?"
Too little courage and you are a coward. Too much courage and you are foolhardy. (Note that there is nothing admirable about picking
fights with tough people, or taking other unnecessary risks.) Courage, therefore, must be cultivated as a mean between extremes.
In mathematics, the mean is the average of a set of numbers. In Aristotle’s Doctrine of the Mean, it is defined differently, but it
indicates a somewhat similar concept: an average or midpoint between two extremes.
As with the Function Argument, Aristotle used a specific example for a general claim: Any virtue is turned into a vice when developed to
the point of excess or deficiency.
Think of some virtues (i.e., character traits of positive value). Are there any that do not become vices when practiced to excess? For
example, justice becomes a vice when it excludes forgiveness. However, people can certainly be overly forgiving too.
Aristotle indicated that this ideal is a rational mean, not a numeric mean. What does this mean? Let's consider an example. It is a virtue to
be financially productive (i.e., the trait involved in becoming rich)? What’s the least I can earn in a year? Zero. What is the most?
Currently, the record is about $12.7 billion. The numeric mean of financial productivity would be a trait that leads to earning $6.35 billion
dollars a year, but it would be absurd to make this a personal goal. It is clearly excessive. What did Aristotle mean by "rational mean?" To
answer, recall rational deliberation, and the process involved in determining what kind of person I should be. If I dedicate too much of
my effort to developing my financial productivity, I will fall short of the good life because other aspects of my life will suffer. I will not
expend enough effort to develop other positive traits.
Aristotle’s ethics are naturalistic, because he believed that the kind of thing we are was the source of ethics. Since humans are
rational animals, we must cultivate the virtues conducive to the rational pursuit of happiness in a complete life. We develop virtues
by manifesting them as a rational mean between extremes.
Source: Scales by Wira from the Noun Project, https://thenounproject.com/search/?q=balanced%20scale&i=1205972
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 83Applying Aristotle's Ethics
by Sophia Tutorial
In this tutorial, we will review three major components of Aristotle’s ethics: the Function Argument, the relevance of virtues to
ethics, and the Doctrine of the Mean. We'll also examine some examples of these components.
This tutorial considers the application of Aristotle's ethics in four parts:
1. The Function Argument
2. Virtue Ethics
3. The Doctrine of the Mean
4. Applying Aristotle's Ethics
1. The Function Argument
Recall that Aristotle’s Function Argument answers the question of what makes an act right or wrong, or where value comes from.
The Function Argument demonstrates that function is tied to what kind of thing it is that is being considered. Function follows essence.
What makes a thing what it is tells us how that thing should be. Accordingly, to be a good human is to excel at being a rational animal or,
more precisely, to cultivate the virtues conducive to excelling at being a rational animal.
2. Virtue Ethics
Aristotle’s Function Argument relates function to excellence. Aristotelian ethics answered this question: “What kind of person should I
be?” — not the question that is now the norm in ethics: “How should I act?” Although these two questions are related, they differ as to
which consideration is primary. Aristotle believed that character is primary. In his system of ethics, actions are evaluated based on how
they inform character: Does this action make a person greedy? Smug? Generous? Brave?
Aristotle used biology to answer, “What kind of person should I be?” so that, when it is time to act, a person will act according to his or
her character. The kind of character we should evaluate is based on what kind of thing we are (i.e., rational animals). By “rational,”
Aristotle meant something very specific. Since reason is of our essence, it is what distinguishes humans from other animals. Human
beings are the kind of thing that can think abstractly, not only of what to do in a specific case, but in general. Humans can plan the best
ways to achieve our goals, which are focused on our happiness.
For this reason, deliberation is an essential part of rational choice. Humans deliberate on how to best achieve the good life, and on what
kind of people they should be. Doing so tells us the way we should be, and the virtues we should have.
3. The Doctrine of the Mean
Once we have determined the virtues we must cultivate, we must manifest them. This is not easy, because virtue comes in degrees.
Aristotle formulated the Doctrine of the Mean to determine the degree to which one should cultivate a virtue. The Doctrine of the Mean
states that a virtue must be cultivated as a mean between extremes.
As he did in making the Function Argument, Aristotle used a specific example to establish a general claim: Any virtue becomes a vice
when it is developed to the point of excess or deficiency.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 84The Doctrine of the Mean
4. Applying Aristotle's Ethics
Let’s consider some real-life examples to which Aristotle’s ethics can be applied.
Let’s say that you’re terrified of heights. Your fear is so great that it prevents you from doing certain things. You cannot go mountain
hiking with your friends, you refuse to fly, and even climbing steep flights of stairs makes you uneasy. Your fear of heights, because it is
extreme, is a vice.
According to Aristotle, you should find the mean between your excessive fear (or cowardice), and too little fear (foolhardiness). Note
that if you were insufficiently afraid of heights, you might be careless, which could cause you harm. Courage is the mean between these
two extremes. You have enough fear of heights to keep you safe, but not so much that it prevents you from enjoying life.
What are the extremes of virtues like ambition, justice, love, confidence? What are other virtues for which you can identify extremes?
Consider the table below, which illustrates several virtues and vices. These are just a few examples; many others exist.
Too Little (Vice) Mean (Virtue) Too Much (Vice)
Cowardly Courageous Foolhardy
Shy Modest Shameless
Stingy Generous Extravagant
Can you think of other applications of Aristotle’s ethics? How can the Doctrine of the Mean be applied to your life? Consider some of
your vices. How could you moderate them to turn them into Aristotelian virtues?
Aristotle’s ethics are naturalistic, because he believed that the source of ethics comes from what kind of thing we are. Since
humans are rational animals, we must cultivate the virtues conducive to the rational pursuit of happiness in a complete life. We
develop virtues by manifesting them as a rational mean between extremes.
Source: scales by Wira from the Noun Project, https://thenounproject.com/search/?q=balanced%20scale&i=1205972
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 85Stoicism: The Ethics of Dispassion
by Sophia Tutorial
Stoicism was a school of philosophy that flourished in ancient Rome. It was not the philosophy of one philosopher but of a group
of like-minded individuals. In fact, the Roman emperor Marcus Aurelius was a stoic philosopher and author. However, Stoicism was
not only a set of philosophical beliefs, but a way of life based upon those beliefs. Therefore, “Stoicism” is a legitimate answer to
the question, “what’s your philosophy?”
In this tutorial, we will investigate the central tenets of Stoicism and how it served as the basis of a system of ethics (and a way of
life). We will focus on the teachings of Epictetus who, though he was not one of the first Stoics, was one of the most influential and
admirable. Begining as a crippled slave, Epictetus became a sought-after thinker. Like Socrates, he wrote nothing, but his work
was recorded by his followers.
This tutorial examines "the ethics of dispassion" in three parts:
1. Focusing on What Is in Our Power
2. How We Direct What Is in Our Power
3. Ethics as a Role
1. Focusing on What Is in Our Power
The most important tenet of Stoicism is to focus on what we can control, and to not be upset by things that are beyond our control.
It is important to realize that the Stoic definition of "control" is limited, that “the things in our power are by nature free, not subject to
restraint or hindrance.” However, more things are within our control than most of us realize.
Am I free to drive to work? Only if my car starts. Therefore, I am free to choose to drive to work, or want to drive to
work but, despite my choice or desire, there may be limits to my freedom. As a result, there is an important sense in which I am not
free to drive to work.
Our main freedoms lie in how we react to the world, rather than in the world itself.
Lets revisit the example above, and consider all of the aspects of your drive that are not under your control. One aspect is red lights.
You cannot control when a traffic light turns red (or doesn't), but how you respond to the light turning red is under your control, including
whether you get angry, upset, or worried.
This illustrates what is perhaps the most helpful insight of Stoicism: No good comes from getting upset at things you cannot change. We
cannot change the past, or the laws of physics. This seems like a trivial insight until we consider how much energy we waste in worrying
about things that we cannot change.
In what situations have you seen people become upset by things that are out of their control? Consider politics, and the extent to
which people are upset by things that are out of their control. Have you observed this response by friends, family, or on social
media? People spend months (or years) lamenting the fact that their candidate didn’t win. But you cannot control what other voters do,
or how congress votes. To focus on things like this, or to allow them to upset us, is absurd. Instead, what can we control? The answer
is, we can control our actions and reactions.
2. How We Direct What Is in Our Power
The preceding example may have led you to think of things about politics that you can control, such as canvassing your neighborhood,
trying to persuade your friends, voting, writing to your congressional representatives, signing petitions, etc. (i.e., activities related to
active citizenship). However, Stoicism suggests something more basic than this. As indicated above, what is in our control is our desires,
emotions, and judgments. Everything else depends on things that are outside of us in the world, which may not proceed as we intend. As
a result, we must focus on our desires, reactions, and judgments.
Controlling these things is not as easy as flipping a switch. That’s why, as a first step, Epictetus tells us, “Take away then aversion from
all things which are not in our power, and transfer it to the things contrary to nature which are in our power. But destroy desire
completely for the present. For if you desire anything which is not in our power, you must be unfortunate; but of the things in our power,
and which it would be good to desire, nothing yet is before you.” A Stoic begins by eradicating all desire — not permanently, but only for
the present. We must remove the old house before building a new one. We must eliminate all desires, then reintroduce those desires
that are appropriate and helpful.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 86Easier said than done. But consider the benefit to be obtained if you didn’t start your morning commute with a desire to get where you
need to go quickly. Without that desire, red lights are of no concern to you. Neither is the driver who refuses to pass in the passing lane.
Without that desire (note that it is a desire for something you cannot control), your morning commute can be pleasant. Epictetus
maintained that the bad things we encounter (e.g., red lights) are the price we pay for tranquility, for freedom from disturbance.
Stoicism is popular in military training because it emphasizes self-control and the control of emotions, of doing the job you are
assigned skillfully and dispassionately.
This leads to a second point: we must realize that reality is neither bad nor good. It is our judgment about reality that upsets us. For
example, are traffic lights bad? Of course not. But if traffic lights are in use on the roads, someone must need to stop for a red light at all
times. So I don’t claim that it is bad that there are traffic lights on the road, or even that a particular traffic light is bad. Instead, I judge that
it is bad for me (e.g., because I must wait for this light to change, I may be late for work). Stoics maintain that this is true of everything
(including death, as we will consider below). Reality is value-neutral. It is our judgments about reality that assign (dis)value to it.
Consider a familiar example: food. Suppose I am in the mood for some foie gras from the French Riviera, and am lamenting the fact that
all I have in my lunchbox is a peanut butter sandwich. The foie gras seems good, the peanut butter sandwich does not. However, if
Epictetus was right, this is merely a judgment.
To prove this, let's replace "I" with a child in this example. The child loves the peanut butter sandwich much more than the foie gras. This
shows that “good” is not a property of the foie gras itself. Rather, it is my judgment regarding the meal. If I put my mind to it, I can
genuinely relish the peanut butter sandwich as much as the French delicacy, because it is my judgment, not the food itself, that makes it
desirable (or not). Judgments (with practice) are under my control.
Therefore, two crucial steps to becoming a good Stoic (i.e., to focusing on what is in our control) are:
1. Eliminating desires
2. Realizing that value is in our judgments, not in the world
To further illustrate the Stoic way of thinking, let's consider a topic they discussed often: death.
Death is something we cannot control. We all must die. Since we cannot control it, there is no advantage to getting upset about it.
Instead, as Stoics, we must focus on what we can control: what we feel about death. The Stoic neither fears death nor hides from it.
How can we avoid the fear of death? First, by making sure that we only desire what is within our power. We cannot control how long our
lives will be, so our focus should be not to live long, but to live well. We must understand that death, like everything else in the world, is
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 87neither bad nor good. Those are only our judgments. Living well is the basis of Stoic ethics.
3. Ethics as a Role
Epictetus explained the need to live well, given what is under our control, with an analogy. He wrote, “Remember that thou art an actor in
a play, of such a kind as the teacher (author) may choose; if short, of a short one; if long, of a long one: if he wishes you to act the part of
a poor man, see that you act the part naturally; if the part of a lame man, of a magistrate, of a private person, (do the same). For this is
your duty, to act well the part that is given to you; but to select the part, belongs to another.” We cannot control where we are born, who
is in our lives, how long we will live, etc. Our duty is to play our part well.
"Playing a role well" may seem like a less-than-substantial basis for ethics, but it is not. Our “role” is deeply connected to the
relationships we have with other people, and those relationships determine our duties.
For example, as a philosophy professor, I have a specific relationship to my students which entails many duties (e.g., providing a
satisfactory learning environment, conveying class materials, grading fairly). However, I also play the role of husband, which entails many
other duties, as do my roles of son, brother, uncle, etc. Additionally, I am a citizen of the U.S., which entails a relationship (and therefore
duties) to other citizens. If I am to play the role of citizen well, I must follow the laws, be active politically, defend the country as needed,
respect fellow citizens, etc. Therefore, it is not difficult to derive an extensive, robust system of ethics from the duties that must be
fulfilled, based on our relationships.
If you have studied Confucianism, you may notice that Confucius made a similar connection between ethics and our natural duties.
Stoicism is a philosophical way of life that focuses on what is in our power, while remaining impassive towards what is not.
Although this can be difficult to put into practice, Stoicism helps us to minimize desire in general, but especially the desire to seek
benefit through external things. Stoicism also maintains that that (dis)value exists in judgment, not in the world.
Source: Epictetus dialogue retrieved from The Gutenberg Files: https://www.gutenberg.org/files/10661/10661-h/10661-h.htm Image
of Epictetus, PD,
https://en.wikipedia.org/wiki/Epictetus#/media/File:Epicteti_Enchiridion_Latinis_versibus_adumbratum_(Oxford_1715)_frontispiece.jpg
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 88Philosophical Analysis as a Way of Life
by Sophia Tutorial
In this tutorial, we will pull together some of the essential threads of this course, which have been taught to us by some of the
greatest thinkers in history:
the value of the pursuit of truth, especially in answering the big questions: "What is the nature of reality?" "What can we
know?" "What is right?"
the use of truth to develop a worldview, and then acting according to belief
This tutorial examines the relationship of philosophy to the way in which we live our lives, in three parts:
1. The Pursuit of Truth
2. Philosophical Worldviews
3. Acting According to Belief
1. The Pursuit of Truth
Recall that philosophy involves pursuit of the truth. The implicit assumption is that truth has value, that it is worth knowing. While the
immediate reaction may be to say, “of course truth has value,” this is a superficial response.
Philosophers maintain that it is always better to know. But is this what we believe? Do you want to know whether your spouse of ten
years cheated on you once, several years ago? Perhaps all that knowing this truth can do is cause harm. Consider Socrates’ requirement
that we examine all of our beliefs. How eager are you to discover that you are wrong? If you believe that a right to own guns reduces
crime and/or makes you safer, how willing are you to perform the objective research necessary to determine whether your beliefs are
correct? Are you willing to try your best to prove yourself wrong?
The requirement to value truth is also a requirement to reject bias. If all of our beliefs are subject to scrutiny, then no belief is sacred.
Consider the advantage in this requirement. There are two possibilities: your strong belief will be proven correct, or incorrect.
If your belief is found to be incorrect, you may be upset for a time, but ultimately, it is better to know that you were wrong. For example,
you will no longer foolishly defend a falsehood in conversations with others. Your improved knowledge of the world will enable you to
better navigate it. You will be less biased, and more understanding.
If, however, your belief turns out to be correct, it is no longer only your opinion, but genuine knowledge. You not only know that it is
true, but you also know why it is true. This enables you to defend it properly, and enriches your life as a result of your close examination
of the belief. Meeting the Socratic challenge is a win-win.
Note the role of logic, reason, and reasoning in the search for truth. They are the tools and methods of philosophy. Reason discovers
truth, and resists bias and emotion.
2. Philosophical Worldviews
One of the unique aspects of the pursuit of philosophy is that we are its subject and object. As subjects, we are the ones doing the
thinking. With respect to the really big questions, however, we are usually among the objects studied as well. For example, in pursuing
ethics, we determine how a person ought to act. That also entails how we ought to act. If, while investigating the metaphysics of free will,
we conclude that free will is an illusion and the will is determined, our conclusion includes each of our wills. If we determine that there
are no supernatural entities, then we have also confirmed that our deaths will be the end of our existence.
By practicing philosophy — by trying to figure out what is true about the world — we place ourselves in the world, as part of the system
rather than outside of it. Why is this an advantage? In addition to the benefits of pursuing truth listed above, it forces us to be consistent.
If I determine that it is morally wrong to text and drive, my determination includes me. People believe that it is unsafe to
text and drive, and studies show that it causes more accidents (and fatalities) than drunk driving. Most people know this. However,
many of the same people often think, “it is unsafe for others to text and drive. I, however, do it carefully, so I’ll do it now.” Do you
know who else has reasoned that way? Everyone who has ever caused an accident by texting and driving. No one thinks, “I may get
myself or someone else killed, but I really need to type LOL now, instead of ten minutes from now.” Philosophy places you inside
this system, rather than on the outside looking in. In so doing, it reveals inconsistent thinking. You cannot be an exception to the rule.
3. Acting According to Belief
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 89This leads us to the last major thread of philosophical thinking: acting according to belief. As the life of Socrates illustrates, the
philosopher can’t just talk the talk, but must walk the walk as well.
Philosophy entails the pursuit of truth, including truth in ethics. Therefore, philosophers hold beliefs about what is true with respect to
right and wrong, and regarding how one should act. Remember that philosophers do not just have opinions on these matters. Their
opinions have been dissected and analyzed. If they still hold a belief following that process, they not only believe it but know it. They
hold it with a higher degree of certainty than than that with which an unexamined belief is held. If you are relatively certain that something
is the right thing to do, you are less likely to act on it than if you are very certain that it is the right thing to do. This is especially true when
the action (i.e., the thing to be done) is demanding.
Imagine a dangerous situation, such as one that involves an active shooter. Being somewhat sure that an action that puts
you in danger is the right thing to do is unlikely to make you act. But knowing for certain what is right to do in a situation is more likely
to cause you to take action.
Knowing what is right, rather than merely believing what is right, leads to acting according to belief. By thinking things through carefully,
one will be more aware of times when one acts in ways that are inconsistent with beliefs. For example, most of us believe that we have
a moral obligation to the next generation. However, we often don’t act accordingly.
Do you believe that we have a moral obligation to our children? If you do, do you act in accordance with that belief? As an exercise in
critical thinking, think of five ways in which you do not act according to this belief.
Consider these questions while thinking of ways in which you do NOT act according to the belief that we have a moral obligation to
our children: Do you recycle? Even when you are on vacation? Do you take public transportation when it is available? Do you drive a
fuel-efficient vehicle? Do you avoid pressing the "wheelchair-accessible" button to open the door when you don’t need it? Do you
write to your congresspersons, encouraging them to support future-friendly policies? Do you watch sports that involve the use of
huge amounts of gasoline?
Most of us hold beliefs, but because we have not examined those beliefs beyond a superficial level, we don’t act according to them.
However, not every philosopher is Socrates. No one is perfectly rational, or perfectly objective, and no one acts in perfect accordance
with his or her beliefs. Philosophy enables us to maximize rationality, minimize bias, and increase consistency of thought and action.
The pursuit of philosophy is not only an academic discipline. It should also make us better people. Pursuing truth and using reason
to examine our beliefs are activities that have value, as do developing a worldview and acting according to belief. All of these skills
are honed and leveraged when philosophy is properly pursued.
© 2018 SOPHIA Learning, LLC. SOPHIA is a registered trademark of SOPHIA Learning, LLC. Page 90
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