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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Sarita Rosenstock, Thomas William Barrett & James Owen Weatherall (2015). On Einstein Algebras and Relativistic Spacetimes. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 52:309-316.
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.

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