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In The Republic (509d–510a), Socrates describes the divided line to Glaucon this way: . Now take a line which has been cut into two unequal parts, and divide each of them again in the same proportion, [1] and suppose the two main divisions to answer, one to the visible and the other to the intelligible, and then compare the subdivisions in respect of their clearness and want of clearness ...
In philosophy, Plato's epistemology is a theory of knowledge developed by the Greek philosopher Plato and his followers.. Platonic epistemology holds that knowledge of Platonic Ideas is innate, so that learning is the development of ideas buried deep in the soul, often under the midwife-like guidance of an interrogator.
The objects or concepts that have intelligibility may be called intelligible.Some possible examples are numbers and the logical law of non-contradiction.. There may be a distinction between everything that is intelligible and everything that is visible, called the intelligible world and the visible world in e.g. the analogy of the divided line as written by Plato.
The Analogy of the Divided Line, Plato's schematic representation of all possible metaphysics, epistemology, and ethics on four hierarchical levels in the Republic, Book 6; Plato's tripartite theory of soul, Plato's partitioned organization of the Soul as presented in the Phaedo and the Republic
Plato's use of such an analogy can be interpreted for many different reasons in philosophy. For example, Plato uses them to illustrate and help illuminate his arguments. In the Analogy of the Sun, Socrates compares the "Good" with the Sun. Plato might be using the image of the Sun to help bring life to his arguments or to make the argument more ...
Plato's conception of Forms actually differs from dialogue to dialogue, and in certain respects it is never fully explained, so many aspects of the theory are open to interpretation. Forms are first introduced in the Phaedo , but in that dialogue the concept is simply referred to as something the participants are already familiar with, and the ...
In Plato's dialogues, the soul plays many disparate roles. Among other things, Plato believes that the soul is what gives life to the body (which was articulated most of all in the Laws and Phaedrus ) in terms of self-motion: to be alive is to be capable of moving oneself; the soul is a self-mover.
Plato doesn't state a specific ratio by which the line must be divided, and then further subdivided, except that one part in each subdivision must be longer than the other (i.e. 1:1 is excluded). The exact ratio is not important whatsoever, but what, given any ratio, a line divided in this way, will reduce to. suppose the length AC = x, CE = y ...