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It is not the case that If quiddities are causally inert, they cannot ground spatiotemporal structure in any explanatorily non-trivial sense, making the proposed unification vacuous.
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Reasons For
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Reason for
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1.
Grounding is a distinct metaphysical relation from causation; inert properties can still ground effects through non-causal dependence relations.
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2.
Mathematical structure grounds physical laws without causal power; quiddities might similarly ground spatiotemporal structure non-causally but substantively.
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3.
A unification is non-trivial if it reveals deep structural identity across domains, regardless of whether the unifier itself has causal efficacy.
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Reasons Against
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Reason against
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1.
Causally inert properties cannot produce effects, so they cannot explain how spatiotemporal structure actually comes to be instantiated.
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2.
Explanatory unification requires the unifier to do substantive work; mere conceptual connection without causal contribution is philosophically hollow.
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3.
If quiddities ground spatiotemporal structure only by logical or conceptual necessity, not causal mechanism, the explanation is trivial, not illuminating.
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