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  2. Analogy of the divided line - Wikipedia

    en.wikipedia.org/wiki/Analogy_of_the_Divided_Line

    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 ...

  3. Theory of forms - Wikipedia

    en.wikipedia.org/wiki/Theory_of_forms

    According to this theory, Forms—conventionally capitalized and also commonly translated as Ideas [4] —are the non-physical, timeless, absolute, and unchangeable essences of all things, which objects and matter in the physical world merely imitate, resemble, or participate in. [5] Plato speaks of these entities only through the characters ...

  4. Platonic epistemology - Wikipedia

    en.wikipedia.org/wiki/Platonic_epistemology

    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.

  5. Mathematical Platonism - Wikipedia

    en.wikipedia.org/wiki/Mathematical_Platonism

    Set-theoretic realism (also set-theoretic Platonism) [3] a position defended by Penelope Maddy, is the view that set theory is about a single universe of sets. [4] This position (which is also known as naturalized Platonism because it is a naturalized version of mathematical Platonism) has been criticized by Mark Balaguer on the basis of Paul ...

  6. Dividing a circle into areas - Wikipedia

    en.wikipedia.org/wiki/Dividing_a_circle_into_areas

    The number of points (n), chords (c) and regions (r G) for first 6 terms of Moser's circle problem. In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides in such a way as to maximise the number of areas created by the edges and diagonals, sometimes called Moser's circle problem (named after Leo Moser), has a solution by an inductive method.

  7. Platonic division - Wikipedia

    en.wikipedia.org/wiki/Platonic_division

    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

  8. Talk:Analogy of the divided line - Wikipedia

    en.wikipedia.org/wiki/Talk:Analogy_of_the...

    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 ...

  9. Meno - Wikipedia

    en.wikipedia.org/wiki/Meno

    Meno (/ ˈ m iː n oʊ /; Ancient Greek: Μένων, Ménōn) is a Socratic dialogue written by Plato around 385 BC., but set at an earlier date around 402 BC. [1] Meno begins the dialogue by asking Socrates whether virtue (in Ancient Greek: ἀρετή, aretē) can be taught, acquired by practice, or comes by nature. [2]