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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 ...
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 five regimes, Republic, Book 8, are ...
The analogy of the Sun (or simile of the Sun or metaphor of the Sun) is found in the sixth book of The Republic (507b–509c), written by the Greek philosopher Plato as a dialogue between his brother Glaucon and Socrates, and narrated by the latter. Upon being urged by Glaucon to define goodness, a cautious Socrates professes himself incapable ...
Plato's allegory of the cave by Jan Saenredam, according to Cornelis van Haarlem, 1604, Albertina, Vienna. Plato's allegory of the cave is an allegory presented by the Greek philosopher Plato in his work Republic (514a–520a, Book VII) to compare "the effect of education (παιδεία) and the lack of it on our nature".
Volume 1, Page 142 of the 1578 Stephanus edition of Plato, showing the opening of Theaetetus. Stephanus pagination is a system of reference and organization used in modern editions and translations of Plato (and less famously, Plutarch [citation needed]) based on the three-volume 1578 edition [1] of Plato's complete works translated by Joannes Serranus (Jean de Serres) and published by ...
Karl Popper gave a voice to that view in his 1945 book The Open Society and Its Enemies, where he singled out Plato's state as a dystopia. Popper distinguished Plato's ideas from those of Socrates, claiming that the former in his later years expressed none of the humanitarian and democratic tendencies of his teacher.
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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 ...