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It is not the case that If no contradiction arises in the physical substrate across time, the argument from mutual exclusivity fails to establish that minds must be abstract.
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Reasons For
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Reason for
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1.
Absence of logical contradiction in physical substrate doesn't establish sufficiency; the hard problem suggests qualitative consciousness resists physical explanation.
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2.
Mutual exclusivity targets the metaphysical relation itself: even if substrate is consistent, abstract properties might still be necessarily non-physical.
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3.
Physical continuity preserves structure but not necessarily subjective experience; identity requires accounting for phenomenal consciousness, not just substrate coherence.
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Reasons Against
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Reason against
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1.
Physical continuity without contradiction suffices for identity; abstract entities lack spatiotemporal location and cannot interact causally.
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2.
Mutual exclusivity arguments assume mind and brain properties cannot coexist in one substrate, but property dualism allows both physical and mental properties.
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3.
If physical processes preserve all information necessary for mental continuity, positing abstract minds as separate entities violates parsimony.
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