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It is not the case that If identity is always sortal-relative, the inference from bare 'a = b' to shared sortal G commits a category error by presupposing absolute identity.
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Reasons For
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Reason for
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1.
Bare identity 'a = b' can be true in any sortal-relative framework if a and b pick out the same entity; sortal-relativity applies to identity criteria, not truth.
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2.
Logical identity (Leibniz's law) is distinct from metaphysical identity criteria; deriving sortal conclusions commits equivocation, not category error.
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3.
Sortal-relative identity allows that 'a = b' is determinately true within established contexts without requiring appeal to absolute identity.
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Reasons Against
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Reason against
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1.
Identity statements like 'a = b' lack determinate meaning without specifying which sortal (person, object, mass) governs the identity criterion.
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2.
Absolute identity presumes a view-from-nowhere independent of conceptual schemes, but all identity is mediated through sortally-specific criteria.
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3.
Inferring 'a and b share sortal G' from bare 'a = b' assumes the identity relation itself is sortal-neutral, contradicting sortal-relativity thesis.
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