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Inverse View
It is not the case that The substantivalist can adopt sophisticated versions that block indeterminism without abandoning the manifold-metric separation, as Hoefer and Maudlin argue.
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Reasons For
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Reason for
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1.
If the manifold lacks intrinsic structure, imposing deterministic constraints on metrics appears ad hoc—equivalent to positing hidden variables elsewhere.
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2.
The manifold-metric separation risks making spacetime metaphysically redundant if metric alone determines all physical facts and causal relations.
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Reasons Against
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Reason against
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1.
Separating manifold from metric allows substantivalists to preserve spacetime's causal powers while avoiding privileging particular coordinate systems.
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2.
Sophisticated versions can impose symmetry constraints on metric evolution that eliminate indeterministic branching without reducing spacetime to relationalism.
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3.
This approach maintains substantivalism's explanatory advantage: spacetime itself grounds facts about spatial-temporal relations and causal structure.
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