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8 - Generic Systems and Mathematical Structuralism

Published online by Cambridge University Press:  24 May 2019

Leon Horsten
Leon Horsten
Affiliation:
University of Bristol
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Summary

Eliminative and non-eliminative forms of mathematical structuralism contain insights that every decent philosophical account of mathematicalstructures has to accommodate. So the challenge is to incorporate the insights in the nature of structure that have been acquired by eliminative and non-eliminative mathematical structuralists and to do better where existing accounts have fallen short. It is in this spirit that I try to connect my account of mathematical structure with elements of leading versions of mathematical structuralism.

Keywords

mathematical structuralismgeneric structuremodalitymathematical objectdependenceidentityquantificationreference
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The Metaphysics and Mathematics of Arbitrary Objects , pp. 143 - 161
Publisher: Cambridge University Press
Print publication year: 2019

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