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

Philosophia Mathematica 20 (2):170-199 (2011)
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
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Reprint years 2012
DOI 10.1093/philmat/nkq029
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 26,655
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA
Dianoia Left and Right.S. Pollard - 2013 - Philosophia Mathematica 21 (3):309-322.

Add more citations

Similar books and articles
Introduction: Hypotheses and Progress.C. McLarty - 2012 - Philosophia Mathematica 20 (2):135-142.
Plato as "Architect of Science".L. Zhmud - 1998 - Phronesis 43 (3):211 - 244.
Plato as "Architect of Science".Leonid Zhmud - 1998 - Phronesis 43 (3):211-244.
Logic for Mathematicians.A. G. Hamilton - 1978 - Cambridge University Press.
Mathematical Knowledge.Mary Leng, Alexander Paseau & Michael D. Potter (eds.) - 2007 - Oxford University Press.
The Reliability of Randomized Algorithms.D. Fallis - 2000 - British Journal for the Philosophy of Science 51 (2):255-271.

Monthly downloads

Added to index

2011-01-15

Total downloads

94 ( #53,947 of 2,158,278 )

Recent downloads (6 months)

5 ( #65,070 of 2,158,278 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums