Halvorson, Hans and Manchak, JB (2021) What hole argument? [Preprint]

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Abstract

The hole argument is supposed to show that spacetime substantivalism implies indeterminism. Here we attempt to answer the question: what is the mathematical fact that is supposed to generate the hole argument? We identify two potential mathematical facts. The first fact is trivial -- as argued by Weatherall -- and so cannot support the hole argument. The second fact would be non-trivial, but we prove that it is false. We conclude that there is no basis for the hole argument.

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Item Type:	Preprint
Creators:	Creators Email ORCID Halvorson, Hans hhalvors@princeton.edu Manchak, JB jmanchak@uci.edu
Keywords:	hole argument, substantivalism, determinism, general relativity
Subjects:	Specific Sciences > Physics > Relativity Theory
Depositing User:	Hans Halvorson
Date Deposited:	16 May 2021 19:52
Last Modified:	16 May 2021 19:52
Item ID:	19033
Subjects:	Specific Sciences > Physics > Relativity Theory
Date:	12 May 2021
URI:	https://philsci-archive.pitt.edu/id/eprint/19033

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