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Chapter 11 - Mathematics

from Part III - Metaphysics

Published online by Cambridge University Press:  18 April 2020

Jamin Asay
Affiliation:
The University of Hong Kong
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Summary

This chapter demonstrates how thinking about truthmakers can bring some clarity to the ongoing debate concerning the ontological status of mathematical entities, and advances one position on the topic. It begins with what is nowadays the most familiar argument in the ontology of mathematics: the indispensability argument. Close inspection of it reveals that the notion of truthmaking is indeed playing a role, and that by thinking about indispensability and truthmaking in tandem, both ideas emerge with greater clarity. Focusing on indispensability will shed light on what the ontological stakes are in the overall debate, so the second section presents what is seen to be the most tenable ontological positions. It then offers a personal (rather deflationary) contribution to the truthmaking question about mathematics, and concludes by comparing and contrasting that view with a recent brand of mathematical trivialism.

Type
Chapter
Information
A Theory of Truthmaking
Metaphysics, Ontology, and Reality
, pp. 223 - 246
Publisher: Cambridge University Press
Print publication year: 2020

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  • Mathematics
  • Jamin Asay, The University of Hong Kong
  • Book: A Theory of Truthmaking
  • Online publication: 18 April 2020
  • Chapter DOI: https://doi.org/10.1017/9781108759465.012
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  • Mathematics
  • Jamin Asay, The University of Hong Kong
  • Book: A Theory of Truthmaking
  • Online publication: 18 April 2020
  • Chapter DOI: https://doi.org/10.1017/9781108759465.012
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Mathematics
  • Jamin Asay, The University of Hong Kong
  • Book: A Theory of Truthmaking
  • Online publication: 18 April 2020
  • Chapter DOI: https://doi.org/10.1017/9781108759465.012
Available formats
×