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What hole argument?

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


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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
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

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