Chapter

Mathematical Structuralism

Charles S. Chihara

in Constructibility and Mathematical Existence

Published in print June 1991 | ISBN: 9780198239758
Published online November 2003 | e-ISBN: 9780191597190 | DOI: http://dx.doi.org/10.1093/0198239750.003.0007

Series: Clarendon Paperbacks

 Mathematical Structuralism

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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

Chapter.  8826 words. 

Subjects: Philosophy of Mathematics and Logic

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