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It is not the case that If the Father is the same God as the Son but not the same person, transitivity of identity is violated, not dissolved by concept-relativity.
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Reasons For
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Reason for
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1.
Identity needn't be univocal. 'God' in 'Father is God' and 'Son is God' may refer to shared divine essence, while 'person' tracks distinct subsistences.
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2.
Transitivity failure is intelligible: 'sameness in nature' differs from 'sameness in identity'. Mixing these relations avoids logical violation.
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3.
Physics tolerates non-transitive relations (e.g., spatial proximity). Theological language can employ structural relations without violating formal logic.
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Reasons Against
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Reason against
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1.
Identity is absolute: if A=B and B=C, then A=C. Theology cannot suspend this logical law without abandoning rational discourse.
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2.
The Trinity claims 'same God' (identity) but 'different persons' (non-identity). This is genuine contradiction, not semantic variation.
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3.
Concept-relativity (identity relative to framework) is ad hoc rescue. No other domain allows A=B and A≠B simultaneously under different concepts.
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