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Frontiers of Philosophy in China

ISSN 1673-3436

ISSN 1673-355X(Online)

CN 11-5743/B

Postal Subscription Code 80-983

Front. Philos. China    2016, Vol. 11 Issue (1) : 137-151    https://doi.org/10.3868/s030-005-016-0010-4
Orginal Article |
A Naturalistic Look into Maddy’s Naturalistic Philosophy of Mathematics
GAO Kun()
Department of Philosophy, Peking University, Beijing 100871, China
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Abstract

This paper discusses Penelope Maddy’s (b. 1950) naturalistic philosophy of mathematics, which is one of the most influential forms of post-Quinean naturalism in the philosophy of mathematics. Two defining features of Maddy’s theory, namely the methodological autonomy of mathematics and the equivalence of Thin Realism and Arealism, are analyzed, and some criticisms of them are posed from within the naturalistic line of thought itself. In the course of this analysis and criticism, the paper will also consider Maddy’s objections to the Quinean Indispensability Argument, which are the starting point of her own version of naturalism.

Keywords philosophy of mathematics      naturalism      Penelope Maddy      indispensability      Thin Realism     
Issue Date: 01 April 2016
 Cite this article:   
GAO Kun. A Naturalistic Look into Maddy’s Naturalistic Philosophy of Mathematics[J]. Front. Philos. China, 2016, 11(1): 137-151.
 URL:  
http://academic.hep.com.cn/fpc/EN/10.3868/s030-005-016-0010-4
http://academic.hep.com.cn/fpc/EN/Y2016/V11/I1/137
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