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Constructibility and Mathematical Existence$
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Charles S. Chihara

Print publication date: 1991

Print ISBN-13: 9780198239758

Published to Oxford Scholarship Online: November 2003

DOI: 10.1093/0198239750.001.0001

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Mathematical Structuralism

Mathematical Structuralism

Chapter:
(p.125) 7 Mathematical Structuralism
Source:
Constructibility and Mathematical Existence
Author(s):

Charles S. Chihara (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/0198239750.003.0007

The first of six chapters in which rival views are critically evaluated and compared with the Constructibility view described in earlier chapters. The views considered here (forms of ‘Structuralism’) are those of Stewart Shapiro and Michael Resnik. A number of difficulties with these two views are detailed and it is explained how the Constructibility Theory is not troubled by the problems that Structuralism was explicitly developed to resolve.

Keywords:   Michael Resnik, Stewart Shapiro, Mathematical Structuralism

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