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  1.  30
    The 'Square Itself' and 'Diagonal Itself' in Republic 510d.Moon-Heum Yang - 1999 - Ancient Philosophy 19 (1):31-35.
  2.  76
    The Relationship Between Hypotheses and Images in the Mathematical Subsection of the Divided Line of Plato’s Republic.Moon-Heum Yang - 2005 - Dialogue 44 (2):285-312.
    In explaining the relationship between hypotheses and images in the Line of Plato’s Republic VI, I first focus on Plato’s elucidation of the nature of mathematics as the mathematician himself understands it. I go on to criticize traditional interpretations of the relationship above based on the doubtful assumption that mathematics concerns Platonic Forms. To formulate my view of that relationship I exploit the notion of “structure.” I show how “hypotheses” as principles of proof can determine the structures of “images” by (...)
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