The Hole Argument

I give an informal outline of the hole argument which shows that spacetime substantivalism leads to an undesirable indeterminism in a broad class of spacetime theories. This form of the argument depends on the selection of differentiable manifolds within a spacetime theory as representing spacetime. I consider the conditions under which the argument can be extended to address versions of spacetime substantivalism which select these differentiable manifolds plus some further structure to represent spacetime. Finally, I respond to the criticisms of Tim Maudlin and Jeremy Butterfield
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DOI 10.2307/192871
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Vincent Lam & Michael Esfeld (2012). The Structural Metaphysics of Quantum Theory and General Relativity. Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 43 (2):243-258.
Olivier Darrigol (2007). A Helmholtzian Approach to Space and Time. Studies in History and Philosophy of Science Part A 38 (3):528-542.

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