Closing the Hole Argument.

The hole argument purportedly shows that spacetime substantivalism implies a pernicious form of indeterminism. Here we attempt to answer the question: what is the mathematical fact that is supposed to underwrite the hole argument? We identify two relevant mathematical claims. The first claim is triv...

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Detalles Bibliográficos
Publicado en:British Journal for the Philosophy of Science Vol. 76; no. 2; pp. 295 - 319
Autores principales: Halvorson, Hans, Manchak, J. B.
Formato: Artículo
Publicado: University of Chicago Press Jun2025
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Acceso en línea:Ver este registro en EBSCOhost
Descripción
Sumario:The hole argument purportedly shows that spacetime substantivalism implies a pernicious form of indeterminism. Here we attempt to answer the question: what is the mathematical fact that is supposed to underwrite the hole argument? We identify two relevant mathematical claims. The first claim is trivially true, and Weatherall has convincingly argued that it cannot support the hole argument. The second claim would support the hole argument, but we prove that it is false. Therefore, there is no basis for the hole argument.