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It is not the case that A counterexample that presupposes a contested property-individuation scheme does not establish a genuine logical gap between global and weak supervenience.
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Reasons For
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Reason for
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1.
Valid counterexamples work regardless of property schemes; scheme-dependence shows the gap exists, not that it's illusory.
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2.
Claiming contested assumptions invalidate counterexamples sets an unreasonably high bar—all philosophical arguments rely on some framework.
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3.
The relationship between global and weak supervenience is a mathematical fact independent of how we linguistically carve properties.
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Reasons Against
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Reason against
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1.
Property individuation schemes determine what counts as distinct properties; disagreement about schemes undermines counterexample clarity.
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2.
A counterexample's force depends on its premises being uncontested; contested individuation makes the logical gap genuinely unclear.
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3.
Without neutral property criteria, we cannot definitively separate logical from metaphysical claims about supervenience relations.
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