Halvorson, Hans and Manchak, JB
(2021)
What hole argument?
[Preprint]
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 nontrivial, but we prove that it is false. We conclude that there is no basis for the hole argument.
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