(1) The Divided Line.
Plato's positive doctrine of knowledge, in which degrees or levels
of knowledge are distinguished according to their objects, is
set forth in the famous passage of the Republic that gives
the simile of the divided line. I give here the usual schematic
diagram, which I will endeavor to explain.
opinion | knowledge | imagination | belief | understanding | reason ---------------|-------------|--------------------|----------------- reflections of | images | intelligible | first principles images | | particulars | | sensible | intelligiblePlato's theory of knowledge can hardly be discussed apart from his theory of reality. The terms or names above of the line belong to his theory of knowledge and the terms or names below the line belong to his theory of reality and refer to the corresponding objects of knowledge in the "real" world. The line is divided in half: the half to the left repesents sense perception through which man comes to know the changeable world of particular bodies; the half to the right represents the intellect or mind through which man comes to know the unchangeable world of Ideas or Forms, of the immutable essences, of the universals and intelligible realities. The half to the left is labeled "opinion" and the half to right is labeled "knowledge." According to Plato the development of the human mind on its way from ignorance to knowledge takes place over these two main fields: from opinion on the left to knowledge on the right. The line is not simply divided into two sections, but each main section is subdivided. Thus there are two degrees of opinion and two degrees of knowledge. How are we to interpret these subsections? The two degrees of opinion are imagination (eikasia) and belief (pistis). For example, a man whose only idea of justice is that embodied in the imperfect justice of the Athenian Constitution or of some particular man, is in the state of opinion in general. But if a rhetorician comes along, and with specious words and reasonings persuades him that things are just and right, which in reality are not even in accord with the imperfect justice of the Athenian Constitution and its laws, then his state of mind is that of imagination (eikasia). What he takes for justice is but a shadow, reflection, or caricature of what is only an image, when compared to the universal Form. The state of mind, on the other hand, of the man who takes as justice the justice of the Constitution and laws of Athens or the justice of a particular just man is that of belief (pistis). He has a copy of the real Idea of justice, but the man in the imagination state of mind has a copy of the copy, and maybe a very distorted copy of the copy. That is, a man whose only idea of a horse is that of particular real horses, and who does not see that particular horses are imperfect "imitations" of the ideal horse (the universal horse), is in a state of belief. He has not got knowledge of the horse, but only opinion. Now if an artist now comes along and paints a picture of a horse, the painted horse is an imitation of an imitation. Anyone who took the painted horse to be the real horse would be in a state of imagination (eikasia), while anyone whose idea of a horse is limited to the particular horses he has seen, heard or read about, and who has no grasp of the universal Idea, is in a state of belief (pistis). But the man who apprehends the ideal horse, the specific form of which particular horses are imperfect realizations, is in a state of knowledge (episteme). The knowledge or right section of the line is also divided into two subsections. How are we to interpret these two subsections? In general they are to be connected, not with visible (orata) or sensible objects (the left side of the line), but with the invisible (aorata) or intelligible world. But what of the subdivision? How does understanding (dianoia) differ from reason (noesis)? They are to refer to a distinction of state of mind and not only to a distinction of objects. The reason (noesis) is the higher and refers to first principles (archai). Their objects are the Forms or Ideas of the Good and the Beautiful. The understanding (dianoia) is the state of mind of those who use hypotheses such as the mathematican and scientists. Plato does not use the word "hypothesis" in the sense of a judgment which is taken as true while it might be untrue, but in the sense of a judgment which is treated as if it were self-conditioned, not being seen in its ground and in its necessary connection with being or first principles. Reason (noesis), on the other hand, is that state of mind of the man, the philosopher, who uses the hypotheses of the understanding (dianoia) as starting points, but passes beyond them and ascends to first principles (archai). The objects of the understanding (dianoia) are mathematical objects (ta mathematika). They are not just numbers and geometrical objects, such as circles, points and lines, but they are all intelligible objects who are "above" sensible particulars but "below" true universals. They are intelligible particulars.
(2) The Allegory of the Cave.
Plato further illustrated his epistemological doctrines by his
famous allegory of the Cave in the seventh book of the Republic.
It shows clearly the ascent of the mind from ignorance to knowledge,
and that Plato regarded this process, not so much as a continuous
development but as a series of "conversions" from less
adequate to more adequate congnitive states. Imagine an underground
cave which has opening toward the light. In this cave are living
human beings, with their legs and necks chained from childhood
in such a way that they cannot turn around but face the inside,
back wall of the cave, so that they have never seen the light
of the sun. Now above and behind them, that is, between the backs
of the prisoners and the mouth of the cave, is a fire, and between
them and the fire is a raised way and a low wall, like a screen.
Along this raised way there pass men carrying statues and figures
of animals and other objects, in such a manner that the objects
appear over the low wall or screen. The prisoners, facing the
back inside wall of the cave, cannot see one another nor the objects
carried behind them, but they see the shadows of themselves and
of these objects thrown on the back wall of cave they are facing.
They see only shadows. These prisoners represent the majority
of mankind, that multitude of people who remain all their lives
in a state of imagination (eikasia), beholding only shadows
of reality and hearing only echoes of the truth. Their view of
the world is most inadequate, distorted by "their own passions
and prejudices, and by the passions and prejudices of other people
as conveyed to them by language and rhetoric." And though
they are no better than children, they cling to their distorted
views with all the tenacity of adults, and have no wish to escape
from their prison-house. Moreover, if they were to escape and
look at the objects of which they had only seen the shadows, they
would be blinded by the glare of the light, and would imagine
that the shadows were far more real than the objects. Now if
one of the prisoners who has escaped grows accustomed to the light
of the fire, he will after a time be able to look at the objects,
of which he had previously seen only the shadows. This man beholds
his fellows in the light of fire and is in a state belief (pistis),
having been "converted" from the shadow world of reflected
images (eikones) to the world of the images, though he
has not yet ascended to the world of intelligible, invisible realities.
He sees the prisoners for what they are, namely prisoners, prisoners
in the bonds of passion and sophistry. Now if he perseveres and
comes out of the cave into the sunlight, he will see the world
of sun-illuminated and clear objects (which are the intelligible
realities), and lastly, though only by an effort, he will be able
to see the sun itself, which represents the Idea of the Good,
the highest Form, "the universal cause of all things right
and beautiful - the source of truth and reason." He will
then be in the state of mind called reason (noesis). Plato
remarks that if that escaped prisoner were to return to the cave,
he would be unable to see properly in the darkness and would appear
"ridiciulous;" if he tried to free another and lead
him to the light, the prisoners, who love the darkness and consider
the shadows to be true reality, would put the offender to death,
if they could but catch him. Here Plato is probably referring
to Socrates, who endeavored to enlighten all those who would listen
and make them apprehend truth and reason, instead of letting themselves
be misled by prejudice and sophistry.