Philosophia Mathematica 15 (2):141-165 (2007)

Abstract
Can a scientific naturalist be a mathematical realist? I review some arguments, derived largely from the writings of Penelope Maddy, for a negative answer. The rejoinder from the realist side is that the irrealist cannot explain, as well as the realist can, why a naturalist should grant the mathematician the degree of methodological autonomy that the irrealist's own arguments require. Thus a naturalist, as such, has at least as much reason to embrace mathematical realism as to embrace irrealism
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DOI 10.1093/philmat/nkm003
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The Indispensability of Mathematics.Mark Colyvan - 2001 - Oxford University Press.
Philosophy of Logic.Hilary Putnam - 1971 - London: Allen & Unwin.
Quine.Peter Hylton - 2007 - Routledge.

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