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Inverse View
It is not the case that Scientific theories are revisable, and set-theoretic commitments of current physics cannot constrain what cardinalities exist independently of theory.
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Reasons For
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Reason for
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1.
Physics uses set theory to model actual cardinalities (particle counts, field configurations); those commitments do constrain possible ontologies.
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2.
If cardinalities exist 'independently of theory,' they're mind-independent facts that our best theories should approximately track, not ignore.
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3.
Revising physics doesn't show set-theoretic commitments are unconstrained—it shows we refine our best approximation of real cardinalities.
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Reasons Against
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Reason against
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1.
Physics has repeatedly revised fundamental theories (Newton→Einstein→QM), showing empirical success doesn't require metaphysical finality.
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2.
Set theory serves physics instrumentally; alternative set theories (constructive, intuitionistic) work equally well for current applications.
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3.
Mathematical ontology shouldn't be constrained by current physics, since math describes infinite structures independently of physical instantiation.
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