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The Meno and the Mysteries of Mathematics

Phronesis 37 (2):166-183 (1992)

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  1. The Method εξ υποεσεως at Meno 86e1-87d8.David Wolfsdorf - 2008 - Phronesis 53 (1):35-64.
    Scholars ubiquitously refer to the method εξ υποθεσεως, introduced at Meno 86e1-87d8, as a method of hypothesis. In contrast, this paper argues that the method εξ υποθεσεως in Meno is not a hypothetical method. On the contrary, in the Meno passage, υποθεσις means “postulate”, that is, cognitively secure proposition. Furthermore, the method εξ υποθεσεως 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 (...)
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  • Methodology in Socrates' Examination of the Slave.Chad Wiener - 2011 - Dialogue 50 (3):443-467.
    ABSTRACT: I argue that Socrates employs both elenchus and the method of hypothesis in the examination of the slave. I show that the elenchus is a necessary step of the inquiry. Being reduced to ignorance, Socrates tacitly uses the method of hypothesis to move the slave from ignorance to correct opinion. I tease this out from the questions Socrates asks. Although the method of hypothesis begins from a question distinct from elenchus, the solution to the problem leads the slave to (...)
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  • « The Role Of Stereometry In Plato’s Republic ».Chiye Izumi - 2011 - Plato Journal 11.
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