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Introduction

Alan Weir

in Truth Through Proof: A Formalist Foundation for Mathematics

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199541492
eISBN:
9780191594915
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199541492.003.0001
Subject:
Philosophy, Philosophy of Language, Logic/Philosophy of Mathematics

The introduction sets out the attractions and drawbacks of mathematical platonism, then gives an overview of the anti-platonistic argument of the book, paying particular attention to the difficulties ... More


Nominalism Reconsidered

Gideon Rosen and John P. Burgess

in The Oxford Handbook of Philosophy of Mathematics and Logic

Published in print:
2005
Published Online:
July 2005
ISBN:
9780195148770
eISBN:
9780199835560
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195148770.003.0016
Subject:
Philosophy, Logic/Philosophy of Mathematics

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 ... More


Introduction

John P. Burgess and Gideon Rosen

in A Subject With No Object: Strategies for Nominalistic Interpretation of Mathematics

Published in print:
1999
Published Online:
November 2003
ISBN:
9780198250128
eISBN:
9780191597138
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198250126.003.0001
Subject:
Philosophy, Logic/Philosophy of Mathematics

Begins by distinguishing different varieties of nominalism. All adherents of nominalism agree in rejecting mathematical and other abstract entities, and many have attempted to develop nominalist ... More


Conclusion

John P. Burgess and Gideon Rosen

in A Subject With No Object: Strategies for Nominalistic Interpretation of Mathematics

Published in print:
1999
Published Online:
November 2003
ISBN:
9780198250128
eISBN:
9780191597138
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198250126.003.0008
Subject:
Philosophy, Logic/Philosophy of Mathematics

Turns from exposition to evaluation of nominalist interpretations, first considering the revolutionary claim that the nominalist theories are superior to current mathematically formulated ones. We ... More


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