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    Carmelics

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    Home/Original/inverse
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    Inverse View

    It is not the case that A 'range-narrowed' expression that depends on a prior domain of quantification behaves logically as a bound variable, not a genuine singular term like a proper name or demonstrative.

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    Reasons For

    1 perspective
    Reason for
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    • 1.Range-narrowed expressions can refer to specific individuals and satisfy predicates independently of quantifier scope, unlike true bound variables.
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    • 2.The dependence on prior domains is pragmatic interpretation, not logical syntax—syntactically these remain singular terms with descriptive content.
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    • 3.Bound variables have no semantic content outside their binding operator; range-narrowed expressions retain internal semantic structure and descriptive force.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.Range-narrowed expressions like 'the student in Smith's class' inherit their reference-dependence from prior quantifier domains, mirroring bound variables.
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    • 2.Bound variables exhibit context-sensitivity and lack independent referential content—precisely what range-narrowed expressions demonstrate.
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    • 3.Proper names and demonstratives maintain referential independence; range-narrowed expressions lose this independence through domain restriction.
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