Title: Plato
1Platos Theory of Forms
- Whether we like it or not, whether we know it or
not, we are all more or less Platonists. Even if
we reject Platos conclusions, our views are
shaped by the way in which he stated his
problems. - W. T. Jones, History of Philosophy The
Classical Mind, 108. - the copies of the eternal things are
impressions taken from them in a manner that is
hard to express .
2II. Definitions
- Forms are called Ideas (eidos). They are not
mental but extramental entities, that is, they
are not mind-dependent. Rather, they are
independently existing entities whose existence
and nature are graspable only by the mind, even
though they do not depend on being so grasped in
order to exist. - B. They are eternal and unchanging entities,
which are encountered not in perception but in
thought.
3II. Definitions
- C. Forms are eternal patterns of which the
objects that we see are only copies (e.g., a
beautiful person is a copy of Beauty). We can
say about a person that she is beautiful because
we know the Idea of Beauty and recognize that a
person shares more or less in this Idea. - D. Knowledge seeks what truly is its concern is
with Being. - What really is, what has Being, is the essential
nature of things these essences, such as Beauty
and Goodness, which make it possible for us to
judge things as good or beautiful, these are
eternal Forms or ideas. - F. Science is a body of universal and necessary
truths. Every science has its objects, and must
have for its objects, forms nothing other than
eternal, unchanging forms can qualify to be the
objects of scientific knowledge.
4II. Definitions
- What Plato means by the Forms is that they are
the essential archetypes of things, having an
eternal existence, apprehended by the mind, not
the senses, for it is the mind that beholds real
existence, colorless, formless, and intangible,
visible only to the intelligence.
5III. Two Different Worlds
- A. Though the Forms are never systematically
argued for, we primarily gain our understanding
of them from Phaedo and Republic. - B. The correct answer to the question, What is
X? is one that gives an accurate description of
an independent entity, a Form. - C. Forms are extramental, independent entities
their existence and nature is independent of our
beliefs and judgments about them.
6III. Two Different Worlds
- The Phaedo contains an extended description of
the characteristics and functions of the Forms - 1. Unchangeable (78c10-d9)
- 2. Eternal (79d2)
- 3. Intelligible, not perceptible (97a1-5)
- 4. Divine (80a3, b1)
- 5. Incorporeal (passim)
- 6. Causes of being (The one over the many)
(100c) - 7. Are unqualifiedly what their instances are
only with qualification (75b) - 8. Non-temporal (Tim. 37e-38a)
- 9. Non-spatial (Phaedr. 247c)
- 10. They do not become, they simply are (Tim.
27d3-28a3) - 11. Phaedo 80b provides a good summary, listing
all the attributes of Forms that souls also have
divine, deathless, intelligible, uniform,
indissoluble, always the same as itself.
7THE HIGHER WORLD
- Is composed of immaterial eternal essence that
we apprehend through our minds. - A Form is an eternal, unchangeable, universal
essence (they have an objective or extramental
existence). - What we encounter in physical world are imperfect
examples of such unchanging absolutes as
Goodness, Justice, Truth, Beauty that exist in
an ideal, nonspatial world. - The higher world is more real for Plato than
physical world, inasmuch as the particular things
that exist in the world of bodies are copies of
the Forms. - Only when we focus on the Forms does genuine
knowledge become possible.
8Platos Theory of Forms
- Plato believed that we participate in two
different worlds Upper world and lower world. - One is the physical world that we experience
through our bodily senses. Thus, the our contact
with the lower world this phrase does not
appear in Platos writings but is helpful in
terms of clarification comes through our bodily
senses, as seen in seeing and touching particular
physical objects like rocks, trees, dogs, and
people. The physical things that exist in the
lower world exist in space and time.
9Platos Theory of Forms
- 1. Platos cosmological concerns include the
Pythagoran view of the world as number - 2. The Heraclitean view of the world as flux and
as logos, - 3. Parmenidean vision of eternal, unchanging,
unknowable reality.
10Platos Theory of Forms
- The upshot is a two-world cosmology
- An everyday world of change and impermance and
an ideal world populated by ideal Forms or
(Eidoi singular is eidos). - The World of Becoming is in flux, as
Heraclitus argued, but the World of Being, is
eternal and unchanging, as Parmenides demanded.
11Platos Theory of Forms
- What made Platos new vision appealing was
twofold - 1. The two worlds were interrelated, not
unrelated as Parminedes suggested. The World of
Becoming, our world was defined by
(participated in) the World of Being, the
world of ideal Forms. Thus, the idea of an
unchanging logos underlying the everyday world
could be understood as the ideality of the
Forms, defining the world despite the fact of
continual change.
12Platos Theory of Forms
- Not only was Platos new vision appealing
because it interrelated the two-worlds, but - 2. We can have a glimpse of this ideal world,
at least, through reason. Thus, the ideal
world of Forms was not, as in Parmenides,
unknowable.
13Platos Theory of Forms
- Examples of such glimpses into the ideal world
are available in the fields of mathematics and
geometry. For example, lets consider the
geometrical proof of a theorem having to do with
triangles. -
14Platos Theory of Forms
- Lets draw a triangle on this sheet of paper.
It is not perfect. In fact, given the way the
lines are smudged, crooked, and corners not quite
coming together, it really isnt a triangle at
all. And yet, by using this poor drawing of a
triangle, something essential about triangles can
nevertheless be proven. -
15Platos Theory of Forms
- Pythagoras had already led the way in his theory
that the essence of the world could be found in
number, in proportion, or ratio. What was most
real, Pythagoras, claimed, was not the matter of
things but their form. The study of mathematics
and geometry, accordingly, was the study of the
essential structure of reality, whatever the
passing fait of particular being s and
relationships. And so, we might say, the study
of mathematics and geometry allows us to see
through the everyday flux of the world and
understand something essential, unchanging. So,
too, we see through our badly drawn triangle to
the idea or form of a triangle-as-such. What we
prove is not so much a theorem about our badly
driven drawn triangle as it is a theorem about
all triangles, insofar as they exemplify the
triangle-as-such. Of course, our badly drawn
triangle conforms to the theorem, too, insofar as
it is indeed a representation of a triangle. But
that is just to say it is a triangle by virtue of
the fact that it is a representation of something
else, triangle-as-such, which is not in this
world. And yet, we can evidently know
triangle-as-such, that is, the ideal Form of a
triangle. We come to understand it through our
reasoning.
16Platos Theory of Forms
- Likewise, all things in this world are
representations, for better or worse, of ideal
Forms. -
- Perhaps the most memorable image of the Forms is
the vision that Plato provides for us in Book VII
of the Republic.
17Platos Theory of Forms
- The Myth of the Cave is an allegory concerning
the relationship between the World of Being and
the World of Becoming-the Forms and the things of
this world-and a warning of the dangers facing
the philosopher. -
18Platos Theory of Forms
- Begins with image of a number of prisoners
shackled in a cave with faces to the wall. - What they see and consider to be reality are the
shadows cast on the wall. - What we all take to be reality consists
ultimately of shadows it is not that these are
unreal. They are real shadows, but they are
shadows of things that are even more real. So
the distinction here is not, as in Parmenides,
between reality and illusion. It is the
distinction between more and real less, a
superior and an inferior world. -
19Platos Theory of Forms
- 3. Lets suppose a prisoner breaks free and turns
around, casting his eyes, for the first time, on
the genuine objects that cast the shadows and the
bright sun that does the casting. Would not he
be dazzled? Would he not immediately see how
imperfect are the shadows of the everyday reality
compared with the reality he now observed?
20Platos Cave
21Platos Theory of Forms
- 4. So, too, the philosopher is dazzled when he
sees the perfect Forms of virtue, justice, and
courage, compared to the imperfect and usually
confused ideas and actions of ordinary men and
women. How much higher than his aspirations
will be. - 5. And if such a philosopher were then to turn
back to the cave and try to tell his fellows how
impoverished their world was, how inadequate
their ideals, would they not turn on him and kill
him? an illusion to Socrates?.
22Platos Theory of Forms
- Upshot is that most of humanity dwell in the
darkness of the cave. They have centered their
thoughts around blurred world of shadows. It is
the function of education to lead people out of
cave into world of light. - 7. Just as the prisoner had to turn his whole
body around in order that his eyes could see the
light instead of the darkness, so also it is
necessary for the entire soul to turn away from
the deceptive world of change and appetite that
causes a blindness of the soul. Education, then,
is a matter of conversion, a complete turning
around from the world of appearance to the world
of reality.
23Platos Theory of Forms
- 8. When those who have been liberated from the
cave achieve the highest knowledge, they must not
be allowed to remain in the higher world of
contemplation, but must be made to come back down
into the cave and take part in the life and
labors of the prisoners.
24Basic Argument of Platos Theory of Forms
- 1. Whenever several things are F, there is a
single form of F-ness in which they all
participate. (That is to say, all these things
are F in virtue of sharing in the characteristics
of the form of F-ness.) - 2. The form of F-ness is perfectly F.
- 3. The form of F-ness does not participate in
itself. (Because whatever participates in
something is inferior to that thing, and nothing
is inferior to itself). - 4. The form of F-ness has all and only those
characteristics which all the things that
participate in it (the particulars of the form)
have in common, in virtue of being F.
25Where do the Forms Exist?
- Have an independent existence
- They have no spatial dimension
- Human soul was acquainted with Forms before it
was united with the body. - In the process of creation, the Demiurge or God
used the Forms in fashioning particular things,
suggesting that the Forms had an existence prior
to their embodiment in things. - Forms seem to have originally existed in the
Mind of God or in the supreme principle of
rationality, the One. - 6. Whether the Forms truly exist in the mind of
God is a question, but the Forms are the agency
through which the principle of reason operates in
the universe seems to be just what Plato means.
26What is the relation of Forms to Things?
- A Form can be related to a thing in three ways,
which may be three ways of saying the same thing - Form is the cause of the essence of a thing
- A thing may be said to participate in a Form
- A thing imitates or copy a Form.
- In each case, Plato implies that although aF rom
is separate from the thing, that the Idea of Man
is different from Socrates, still, every concrete
or actual thing in some way owes its existence to
a Form, in some degree participates in the
perfect model of the class of which it is a
member, and is in some measure an imitation or
copy of the Form.
27What is the relation of Forms to Things?
- In contrast, Aristotle argues that form and
matter are inseparable and that the only good or
beautiful was found in actual things. But Plato,
only allows participation and imitation as the
explanation of the relation between things and
their Forms. In fact, it was the Forms through
which order was brought into chaos, indicating
separate reality of form and matter. - Aristotles criticism is critical to note
there is no coherent way of accounting for the
existence of the Forms apart from actual things.
But Plato might respond by asking him how it is
possible to form a judgment about the
imperfection of something if the mind does not
have access to anything more than the imperfect
thing.
28What is the Relation of Form to Each Other?
- Plato contends, We can have discourse only
through the weaving together of Forms. - - Our language reveals our practice of
connecting Forms with Forms. There is the Form
animal and the subclasses of Forms as Man and
Horse. Forms, are, therefore, related to each
other as genus and species. In this way Forms
tend to interlock even while retaining their
unity. Ever significant statement involves the
use of some Forms and that knowledge consists in
understanding the relations of the appopriate
Forms to each other.
29What is the Relation of Form to Each Other?
- Example The closer one comes to discussing a
black dog, the less universal is ones knowledge.
Conversly, the higher one goes, the more
abstract the Form, as when one speaks of Dog in
general, the broader ones knowledge. - Example The animal vet proceeds in knowledge
from this black dog to Schnauzer to Dog. As one
proceeds upward one moves towards abstraction or
independence from particularss of which Plato was
thinking.
30How Do We know the Forms
- Three different ways in which the mind discovers
the Forms - 1. Recollection Before it was united with the
body, the soul was acquainted with the Forms.
People now recollect what their souls knew in
their prior state of existence. Visible things
remind them of the essences previously known.
Education is actually a process of reminiscence. - 2. People arrive that knowledge of Forms through
the activity of dialectic the power of
abstracting the essence of things and
discovering the relations of all divisions of
knowledge to each other.
31How Do We know the Forms
- Three different ways in which the mind discovers
the Forms - 3. The power of desire, love (eros) which leads
people step by step, as Plato described in the
Symposium, from the beautiful object to the
beautiful thought, and then to the very essence
of beauty itself.
32IV. What Do the Forms Do
- They are postulated to solve certain
philosophical problems - Epistemological Responding to his conception of
Heraclitus theory Objects in flux cant be
known. - 2. Metaphysical Two-world theory (Republic
VII) The intelligible world is Parmenidean, the
visible world is Heraclitean. Forms in the
intelligible realm are postulated to be the
objects of knowledge. The metaphysical theory is
designed to fit epistemological requirements.
33V. Arguments for the Forms
- We can summarize our discussion by stating that
by forms Plato means eternal and unchanging
entities, which are encountered not in perception
but in thought. They constitute the public world
that the Sophists had denied and that function at
once as the objects of the sciences-physical,
moral, and social-and the objective criteria
against which our judgments in these inquiries
are evaluated. As the objects of thought, the
forms justify thought in looking for objects.
Without the forms there would be nothing, in
Platos view, to look for, and every individual
would remain forever isolated in the cave of his
own subjective states. - But are there forms? Do forms such as Plato
described actually exist? W.T. Jones, History
of Philosophy, 143.
34V. Arguments for the Forms
- In general, proofs for forms involved a challenge
to find in the changing world of sense perception
anything adequate to be an object of knowledge.
Thus, we might argue for forms this way
35V. Arguments for the Forms
- Questioner Do you allow there is a knowledge
of triangles? - Doubter Yes.
- Questioner Well, what is the triangle about
which you admit there is knowledge? Not this or
that particular drawn triangle, for none of these
sense objects has exactly the qualities in
question. They are not really triangles. Hence,
if you admit that there really is such an object
as a triangle and that we knowledge of it, you
have to admit that there are non-empirical,
non-sensible things. These objects are the
forms. - We see this same approach in the Phaedo in
connection with the notion of equality.
36V. Arguments for the Forms
- In the Phaedo discussion Socrates and Simmias
move from a proof of the existence of forms to a
proof of the transmigration of the soul, by
arguing that our knowledge of forms can be
accounted for only on the assumption that we
existed before we were born into this world. - Consider W.T. Jones comments on this argument
37V. Arguments for the Forms
- This argument is certainly not without force.
It would be hard to deny that we know what
equality is-how otherwise could we know that any
two sticks are unequal? To observe that, we must
apply the criterion of equality and find them
wanting. And since it is agreed that sticks are
never absolutely equal, our knowledge of this
criterion cannot have been derived from sensory
experience. Thus the empirical fact, which no
one would deny, that we judge the sticks to be
unequal proves both that we have a knowledge of
equality and that this equality cannot be
physical (pg. 145).
38V. Arguments for the Forms
- Argument by generalized this way
- 1. Either we know something (i.e., at least one
thing) or we know nothing. - 2. Suppose you opt for the second alternative.
Either you claim to know that the second
alternative is true or you do not make this
claim. - a If you dont claim to know that the second
alternative is true, we throw out your reply as
worthless. - b. If you do claim to know that the second
alternative is true, you have contradicted
yourself. For by your own account there is not
at least one thing you claim to know, namely,
that you know nothing.
39V. Arguments for the Forms
- 3. Hence, the first alternative is true there
is at least one thing that is known. - 4. Therefore, knowledge is possible.
- 5. It follows that forms exist, for only forms
have the characteristics-immutability,
eternity-requisite for knowledge. - We see this line of argument in the Timaeus in
which Plato merely points out that if there is
knowledge (as distinct from opinion) there must
be forms (as distinct from sense objects)
(Ibid., 145).
40V. Arguments for Existence of Forms
- Imperfection Argument Forms are the real
entities to which the objects of our sensory
experience (approximately) correspond. We make
judgments about such properties as equal,
circular, square, etc. even though we have never
actually experienced any of them in perception.
Forms are the entities that perfectly embody
these characteristics we have in mind even though
we have never experienced them perceptually.
41V. Arguments for Existence of Forms
- Argument From Knowledge (from the sciences)
What is our knowledge about? When we know
something, what is our knowledge of? Plato
supposes that there is a class of stable,
permanent, and unchanging objects that warrant
our knowledge claims.
42V. Arguments for Existence of Forms
- One Over Many argument
- A famous passage in the Republic (596a)
suggests a semantic role for the Forms (there is
one Form for each set of many things to which we
give the same name). That is, when you use the
word just and I use the word just, what makes
it one and the same things that were talking
about? Platos answer is the Form of Justice,
the one over the many.
43Strengths
- 1. To say a thing is better or worse implies some
standard, which obviously is not there as such in
the thing being evaluated. - 2. Doctrine of the Forms makes possible
scientific knowledge, for the scientist has to
let go of actual visible particulars and deal
with essences or universals, that is, with
laws. The scientists formulates laws, and
these laws tell us something about all things,
not only the immediate and particular things. - 3. Though Platos metaphysics rests upon the
view that ultimately reality is nonmaterial, it
goes a long way toward explaining the more simple
fact of how it is possible for us to have
ordinary conversation. For any discourse between
people, illustrates our independence from
particular things.
44EvidencesPlatos evidence is largely Intuitive
- The argument from human perception
- We call both the sky and blue jeans by the same
color Blue. However, clearly a pair of jeans and
the sky are not the same color moreover, the
wavelengths of light reflected by the sky at
every location and all the millions of blue jeans
in every state of fading constantly change, and
yet we somehow have an idea of the basic form
Blueness as it applies to them.
45EvidencesPlatos evidence is largely Intuitive
- But if the very nature of knowledge changes, at
the time when the change occurs there will 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
exist ever, and the beautiful and the good and
every other thing also exist, then I do not think
that they can resemble a process of flux, as we
were just now supposing.
46EvidencesPlatos evidence is largely Intuitive
- The argument from perfection
- No one has ever seen a perfect triangle, nor a
perfectly straight line, yet everyone knows what
a triangle and a straight line are. - ... when a man has discovered the instrument
which is naturally adapted to each work, he must
express this natural form, and not others which
he fancies, in the material .... - Perceived circles or lines are not exactly
circular or straight, but if the perfect ones
were not real, how could they direct the
manufacturer?
47Problems
- 1. Generality Problem
- If this is supposed to be a theory applying to
all possible substitutions of F, then we would
have to accept the existence of the Forms of
perfect mud, perfect Stink, etc. - Plato offered this criticism himself in the
Parmenides. -
- But Platonism can survive with a very limited
number of forms. It is not necessary to assume a
separate form for each physical object, nor for
man-made objects, like beds or chairs-though
Plato certainly seems on occasion to have done so.
48Problems
- 2. The Third Man
- Several individuals are men. Therefore, there is
a form of Man in which they all participate. The
form of Man is a man (indeed, the Perfect Man).
So all individual men plus the form of Man taken
together are all men. So there is a single form
in which they all participate. This new form
cannot be the form of Man, for then it would have
to participate in itself which is impossible, so
this has to be a Third Man (besides the singular
men and their form). But we can repeat the same
reasoning for this Third Man as well, so there
would have to be a Fourth, a Fifth, Sixth, etc.
to infinity. So for a set of individuals there
would have to be an infinity of Forms. But the
Theory also states that there is only a single
Form for any set of individuals. So the theory is
inconsistent, whence it cannot be true.
49Problems
- 3. Inconsistency of Characteristics
- The perfect Form of F-ness has to have all and
only those characteristics, which are common to
all its particulars. But all these particulars
are necessarily either G or not G. (Say, any
triangle must be either isosceles or scalene.) So
the Form also has to be G or not G. (Say the Form
of triangle must be either isosceles or scalene.)
But since not all particulars are G, the Form
cannot be G. (Since not all triangles are
isosceles, the Form of triangle cannot be
isosceles.) And since not all particulars are not
G, the Form cannot be not G either. (Since not
all triangles are scalene, the Form of triangle
cannot be scalene either.) So the Form has to be
either G or not G and yet it cannot be G and it
cannot be not G. (The Form of triangle has to be
either isosceles or scalene, but it cannot
isosceles and it cannot be scalene either.) But
this is impossible, so the theory cannot be true
as stated.
50Problems
- Forms and sense objects are too separate ideal
and actual are separated by an unbridgeable
criticism. Transcendence creates a grave
problem -
- If the forms are not apart, they are not (Plato
thought) true objects, and if there are no
form-objects, there is nothing to have knowledge
of. On the other hand, if they are apart, they
are unknowable. - Plato bridges the chasm between intelligible
world and sensible world by means of appealing to
the soul. The soul is immortal and supremely
valuable.
51Problems
- W.T. Jones comments that it is a challenge to
account for the possibility of knowledge in any
way other than on the assumption of fomrs. But
no proof of this type ever establishes
conclusively the proposition it is intended to
maint it always rests on the inability of the
critic to find an alternative explanation. This
is weak, since (1) even if the critic himself
cant find an alternative, there may be one, and
(2) he may find it (Ibid., 146). - Many people account for the certainty of
mathematics differently. Mathematics is certain,
they say, not because it is about nonphysical, as
distinct from a physical, object but because it
is not about objects at all. Mathematical
certainty results from the fact that propositions
of mathematics are all tautologies (redundant
language).
52Soul Mediates Transcendence
- The soul (psyche) is like the forms it is
eternal and immortal it has a kind of unchanging
identity. - One part of the psyche must be like the sense
world. The emotions and passions have their seat
in the lower parts of the psyche whereas the mind
has the highest part of the pyshe (higher and
more real world). For these reasons, soul is
well suited to serve as a link between sensible
and intelligible worlds, to redeem from utter
unreality and to mediate the splendid but awful
purity and isolation of the latter.
53In the process of discovering true knowledge the
mind moves through 4 stages of development. At
each stage, there is a parallel between the kind
of object presented to the mind the kind of
thought this object makes possible. The vertical
line from x to y is a continuous, suggesting that
there is some degree of knowledge at every point.
But as the line passes through the lowest forms
of reality to the highest, there is a parallel
progress from the lowest degressof truth to the
highest. The line is divided into two unequal
parts.
y
Greater reality truth found in intelligible
world.
OBJECTS MODES OF THOUGHT
The Good Forms Mathematical
Objects Things Images
Knowledge
Thinking Belief Imagining
The Good Intelligible World
Knowledge
The Sun Visible World
Opinion
Lower degree of reality truth in visible world.
x
Dark shadowy world at X and moving up to bright
light at Y going from x to y represents a
continuous process of minds enlightenment.
54What did Plato Oppose?
- In Platos writings we observe that he opposed
seven prevalent beliefs - Hedonism
- Empiricism
- Relativism
- Materialism
- Mechanism
- Atheism
- Naturalism
55Contrasts between Plato Aristotle
- More interested in mathematics
- 2. Plato separated the world of thought from the
world of flux and things, ascribing true reality
to the Ideas and Forms, which he believed, and an
existence separate from the things in nature.
For Plato, the primary stuff of space was molded
by the eternally existing Forms into individual
shapes.
- More interested in empirical data.
- Fixed upon concrete processes of nature whereby
he considered abstract notions to have their real
habitat in this living nature. Everything that
exists is some concrete individual thing, and
every thing is a unity of matter form.
Substance is a composite of form matter.
Aristotle rejected Platos explanation of the
universal Forms, rejecting specifically the
notion that the Forms existed separately from
individual things. - Aristotle oriented his thought to dynamic realm
of becoming.
56Points of Differences
- Plato
- 1. There is a priori knowledge (Meno)
- Intellectual concepts of perfect objects needed
for a priori knowledge cannot be gained from
experience (main argument from Phaedo). - 3. A priori knowledge prenatal knowledge
(theory of recollection in Phaedo) - 4. The objects of our intellectual concepts (i.e.
the things we directly conceive by means of our
intellectual concepts) are the perfect Forms.
57Points of Differences
- Aristotle (384-322 BC, Platos student amicus
Plato sed magis amica veritas I like Plato but
I like the truth even more) - 1. Intellectual concepts needed for a priori
knowledge can be gained from experience, by
abstraction (On the Soul). - 2. A priori knowledge is not prenatal, but can be
gained by induction based on abstraction
(Posterior Analytics). - The objects of our intellectual concepts are the
natures (essences, quiddities) of material things
(On the Soul) these objects cannot be the
perfect Forms of Plato, for such perfect Forms
cannot exist
58Points of Differences
- Is Aristotle a materialist (as a harmony
theorist would be) or is he an idealist (as is
Plato) concerning the nature of the soul? (That
is to say does he believe that the soul is just
the organic structure of the body, or does he
believe that it is an immaterial, spiritual
entity inhabiting the body?) - Reply he is a materialist concerning non-human
souls, but he also contends that the human soul,
which has an immaterial activity, namely,
thinking, is not dependent for this specific
activity, and so neither for its being, on its
union with the body therefore, the human soul
(at least its intellective part), is immortal. -