JOURNAL ARTICLE

Elaine Landry.Plato Was Not a Mathematical Platonist.

  • Published In: Philosophia Mathematica, 2023, v. 31, n. 3. P. 417 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: McLarty, Colin 3 of 3

Abstract

Even the claim that mathematicians do not examine their hypotheses, which Plato's Socrates makes explicitly and repeatedly as a contrast between mathematics and dialectic, is valuable only when you face both its falsity and its truth. She is less interested in Plato knowing Eudoxus's completed theory or other advanced mathematical facts, than she is in Plato's awareness of mathematicians striving - in some ways like dialecticians but in other ways unlike them - along their way to creating such theories. That is, Plato believed mathematicians establish that their hypotheses solve problems and that is all the mathematicians seek, and Plato approved of that. (p. 7, compare the retrospective summary on p. 40) 2 PLATO IN ENGLISH: TEXT AND TRANSLATION Landry's default translation is [8] (Landry p. 1n4). [Extracted from the article]

Additional Information

  • Source:Philosophia Mathematica. 2023/10, Vol. 31, Issue 3, p417
  • Document Type:Article
  • Subject Area:Mathematics
  • Publication Date:2023
  • ISSN:0031-8019
  • DOI:10.1093/philmat/nkad016
  • Accession Number:172993892
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