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Mathematical Responses to the Hole Argument: Then and Now

Published online by Cambridge University Press:  09 June 2022

Clara Bradley  and
James Owen Weatherall
Clara Bradley*
Affiliation:
Department of Logic and Philosophy of Science, University of California, Irvine, California, US
James Owen Weatherall
Affiliation:
Department of Logic and Philosophy of Science, University of California, Irvine, California, US
*
*Corresponding author. Email: cbradle1@uci.edu
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Abstract

We argue that several apparently distinct responses to the hole argument, all invoking formal or mathematical considerations, should be viewed as a unified “mathematical response.” We then consider and rebut two prominent critiques of the mathematical response before reflecting on what is ultimately at issue in this literature.

Type
Symposia Paper
Information
Philosophy of Science , Volume 89 , Issue 5 , December 2022 , pp. 1223 - 1232
Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of the Philosophy of Science Association

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Footnotes

This material is partially based on work produced for the project “New Directions in Philosophy of Cosmology,” funded by the John Templeton Foundation under grant 61048. We are grateful to David Mwakima and Jingyi Wu for detailed comments on a previous draft and to our co-symposiasts for discussion.

References

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