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Philosophia Mathematica Advance Access originally published online on June 23, 2007
Philosophia Mathematica 2007 15(3):357-365; doi:10.1093/philmat/nkm027
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Copyright © The Author 2007. Published by Oxford University Press.

Full-Blooded Reference{dagger}

Gabriel Rabin*

* Department of Philosophy, 405 Hilgard Avenue, University of California Los Angeles, Los Angeles, California 90095-1451, U.S.A.

Correspondence: grabin{at}humnet.ucla.edu

In ‘Just what is full-blooded platonism?’ Greg Restall outlines several objections to Mark Balaguer's theory of full-blooded platonism. I reply to these objections by explicating the semantic framework for the reference of mathematical terms that full-blooded platonism requires. Expanding upon these replies, I then explain how the full-blooded platonist, in light of the explicated semantic framework, should treat mathematical terms and statements in order to avoid certain pitfalls.

{dagger} I want to thank Mark Balaguer, Phillip Bricker, and Greg Restall for helpful comments on earlier drafts of this paper.


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