Philosophical Studies

, Volume 129, Issue 3, pp 545–574

Epistemological Challenges to Mathematical Platonism

Article

DOI: 10.1007/s11098-004-3388-1

Cite this article as:
Linnebo, Ø. Philos Stud (2006) 129: 545. doi:10.1007/s11098-004-3388-1

Abstract

Since Benacerraf’s “Mathematical Truth” a number of epistemological challenges have been launched against mathematical platonism. I first argue that these challenges fail because they unduely assimilate mathematics to empirical science. Then I develop an improved challenge which is immune to this criticism. Very roughly, what I demand is an account of how people’s mathematical beliefs are responsive to the truth of these beliefs. Finally I argue that if we employ a semantic truth-predicate rather than just a deflationary one, there surprisingly turns out to be logical space for a response to the improved challenge where no such space appeared to exist.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Merton CollegeOxfordUK

Personalised recommendations