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It is not the case that Without a specified sortal, 'same God as' is semantically vacuous and cannot do the ontological work of grounding trinitarian unity.
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Reasons For
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Reason for
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1.
Some identity relations are semantically complete without sortals—'same color' and 'same direction' work via direct property identity.
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2.
Trinitarian unity may operate at a level beyond sortal logic, making the demand for sortals philosophically parochial.
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3.
The claim assumes analytic clarity can apply to divine nature; mystical or apophatic theology suggests some truths resist analytical precision.
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Reasons Against
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Reason against
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1.
Identity claims require sortal criteria to avoid contradiction (e.g., 'same substance' vs 'same person' yield different trinitarian models).
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2.
Without specified sortals, 'same God' is indeterminate—it could mean numerical identity, essential properties, or relational unity.
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3.
Trinitarian theology needs a sortal framework to explain how three distinct persons are one God without collapsing into modalism or tritheism.
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