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The Oxford Handbook of Philosophy of Mathematics and Logic$
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Stewart Shapiro

Print publication date: 2005

Print ISBN-13: 9780195148770

Published to Oxford Scholarship Online: July 2005

DOI: 10.1093/0195148770.001.0001

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Nominalism Reconsidered

Nominalism Reconsidered

Chapter:
(p.515) Nominalism Reconsidered
Source:
The Oxford Handbook of Philosophy of Mathematics and Logic
Author(s):

Gideon Rosen (Contributor Webpage)

John P. Burgess (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/0195148770.003.0016

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

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