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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. Talk:Analogy of the divided line - Wikipedia

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

    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 ...

  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. Allegory of the cave - Wikipedia

    en.wikipedia.org/wiki/Allegory_of_the_cave

    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".

  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.

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    Spades is all about bids, blinds and bags. Play Spades for free on Games.com alone or with a friend in this four player trick taking classic.

  8. Polyhedral graph - Wikipedia

    en.wikipedia.org/wiki/Polyhedral_graph

    If one relaxes the requirement that the graph be cubic, there are much smaller non-Hamiltonian polyhedral graphs. The graph with the fewest vertices and edges is the 11-vertex and 18-edge Herschel graph, [4] and there also exists an 11-vertex non-Hamiltonian polyhedral graph in which all faces are triangles, the Goldner–Harary graph. [5]

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