The Method εξ υποεσεως at Meno 86e1-87d8

Author:

Wolfsdorf David1

Affiliation:

1. 1Temple University, Humanities Building 022-32, Philadelphia, PA 19122, USA;, Email: dwolfsdo@temple.edu

Abstract

AbstractScholars ubiquitously refer to the method εξ υποεσεως, introduced at Meno 86e1-87d8, as a method of hypothesis. In contrast, this paper argues that the method εξ υποεσεως in Meno is not a hypothetical method. On the contrary, in the Meno passage, υποεσις means “postulate”, that is, cognitively secure proposition. Furthermore, the method εξ υποεσεως is derived from the method of geometrical analysis. More precisely, it is derived from the use of geometrical analysis to achieve reduction, that is, reduction of a less tractable problem to a more tractable problem. As such, the method εξ υποεσεως does not by itself serve to solve problems.

Publisher

Brill

Subject

History and Philosophy of Science,Philosophy,History

Cited by 29 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On a Geometry Problem in Plato’s Meno;The American Mathematical Monthly;2023-12-15

2. Hypothetical Inquiry in Plato's Timaeus;Ancient Philosophy Today;2023-10

3. Myth, virtue and method in Plato’s Meno;PLATO JOURNAL;2023-05-31

4. A Trivial Source of Wonder: Some Mathematical Examples in Plato’s Dialogues;Archiv für Geschichte der Philosophie;2023-04-01

5. Plato's <I>Phaedo</I>;2023-02-02

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