TITLE

The Problem is not Mathematics, but Mathematicians: Plato and the Mathematicians Again†

AUTHOR(S)
Benson, Hugh H.
PUB. DATE
June 2012
SOURCE
Philosophia Mathematica;Jun2012, Vol. 20 Issue 2, p170
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
I argue against a formidable interpretation of Plato’s Divided Line image according to which dianoetic correctly applies the same method as dialectic. The difference between the dianoetic and dialectic sections of the Line is not methodological, but ontological. I maintain that while this interpretation correctly identifies the mathematical method with dialectic, (i.e., the method of philosophy), it incorrectly identifies the mathematical method with dianoetic. Rather, Plato takes dianoetic to be a misapplication of the mathematical method by a subset of practicing mathematicians. Thus, Plato’s critique of dianoetic is a not a critique of mathematics, as such, but of mathematicians.
ACCESSION #
77391220

 

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