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Inverse View
It is not the case that Identity theories can retain explanatory power by grounding truth in the structural isomorphism between propositions and facts, not mere co-reference.
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Reasons For
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Reason for
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1.
Structural isomorphism is itself explanatorily dependent on prior identity relations—it cannot ground them without circularity.
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2.
The notion of 'structure' doing truth-making work remains metaphysically opaque without independent criteria for structural adequacy.
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3.
Isomorphism may preserve form while remaining silent on why particular structures rather than others determine truth conditions.
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Reasons Against
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Reason against
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1.
Structural isomorphism explains why false propositions can be meaningful without requiring their referents to exist.
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2.
Co-reference alone cannot account for how different proposition-orderings generate different truths from identical constituents.
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3.
Isomorphic mapping preserves explanatory relations between logical and metaphysical structure, avoiding crude referential collapse.
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