Naturalism and Mathematics: Some Problems

Document Type

Article

Publication Date

2-5-2016

Abstract

In this chapter, I consider some problems with naturalizing mathematics. More specifically, I consider how the two leading kinds of approach to naturalizing mathematics, to wit, Quinean indispensability-based approaches and Maddy's Second Philosophical approach, seem to run afoul of constraints that any satisfactory naturalistic mathematics must meet. I then suggest that the failure of these kinds of approach to meet the relevant constraints indicates a general problem with naturalistic mathematics meeting these constraints, and thus with the project of naturalizing mathematics itself.

Publication Source (Journal or Book title)

The Blackwell Companion to Naturalism

First Page

289

Last Page

304

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