Search results
Results from the WOW.Com Content Network
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 ...
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 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.
Plato's tripartite theory of soul, Plato's partitioned organization of the Soul as presented in the Phaedo and the Republic; Plato's five regimes, Republic, Book 8, are Plato's forms of government Aristocracy, Timocracy, Oligarchy, Democracy, and Tyranny; Plato's Collection and Division or diairesis, a logical method of definition by division
A simplicial line arrangement (left) and a simple line arrangement (right). In geometry, an arrangement of lines is the subdivision of the Euclidean plane formed by a finite set of lines. An arrangement consists of bounded and unbounded convex polygons , the cells of the arrangement, line segments and rays , the edges of the arrangement, and ...
Various scholars also debate the possibility of a connection between the work in the allegory and the cave and the work done by Plato considering the analogy of the divided line and the analogy of the Sun. The divided line is a theory presented to us in Plato's work the Republic. This is displayed through a dialogue given between Socrates and ...
External Link (Psychology, Philosophy, and Plato's Divided Line) [ edit ] I previously added a link to this paper, which seems clearly relevant, and all-the-more helpful to users because it supplies (1) the complete text of the Divided Line (including the often-neglected section in Book 7 of the Republic), and (2) perhaps the most extensive ...
The square root of 2 is equal to the length of the hypotenuse of a right triangle with legs of length 1 and is therefore a constructible number. In geometry and algebra, a real number is constructible if and only if, given a line segment of unit length, a line segment of length | | can be constructed with compass and straightedge in a finite number of steps.