Chapter

Nominalism Reconsidered

Gideon Rosen and John P. Burgess

in The Oxford Handbook of Philosophy of Mathematics and Logic

Published in print March 2005 | ISBN: 9780195148770
Published online July 2005 | e-ISBN: 9780199835560 | DOI: http://dx.doi.org/10.1093/0195148770.003.0016

Series: Oxford Handbooks in Philosophy

Nominalism Reconsidered

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Nominalism is the view that mathematical objects do not exist. This chapter delimits several types of nominalistic projects: revolutionary programs that attempt to change mathematics and hermeneutic programs that attempt to interpret mathematics. Some programs accord with naturalism, and some oppose naturalism. Steven Yablo’s fictionalism is brought into the fold and discussed at some length.

Keywords: nominalism; revolutionary nominalism; hermeneutic nominalism; mathematics; Yablo; fictionalism

Chapter.  9379 words. 

Subjects: Philosophy of Mathematics and Logic

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