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    Universal instantiation from '∀x∀y[L(x,y)]' presupposes a... — Carmelics
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    Challenges→Romeo likes Juliet (L(r,j)).

    Universal instantiation from '∀x∀y[L(x,y)]' presupposes a fixed, uniform domain, but names like 'Romeo' may fail to rigidly refer to any actual domain element.

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    1 reason for
    1 reason against

    Reasons For

    1 perspective
    Reason for
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    • 1.Fictional names like 'Romeo' lack referents in actual reality, so instantiating quantified formulas with them violates the domain-theoretic foundations of first-order logic.
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    • 2.Universal instantiation requires a fixed domain; without it, substitution instances become meaningless when names fail to pick out domain elements.
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    • 3.Kripke's rigid designator theory shows names are modally inflexible—they cannot shift referents across contexts, making non-referential names logically defective.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Quantified formulas in fiction or mathematics need not have concrete domains; abstract or fictional domains are valid domains in model-theoretic semantics.
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    • 2.Names can rigidly designate without actual instantiation—Kripke allows for rigid designation of non-existent entities in counterfactual and fictional discourse.
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    • 3.The failure of rigid reference is an epistemological problem, not a logical one; universal instantiation operates syntactically regardless of referential success.
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    Connections

    1 linked claim · 2 topics

    Modality & Possibility1 linkedPhilosophy of Language1 linked
    Romeo likes Juliet (L(r,j)).

    Related

    Fictional names like 'Romeo' lack referents in actual reality, so instantiating ...Kripke's rigid designator theory shows names are modally inflexible—they cannot ...Names can rigidly designate without actual instantiation—Kripke allows for rigid...Quantified formulas in fiction or mathematics need not have concrete domains; ab...
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    Romeo likes Juliet (L(r,j)).The failure of rigid reference is an epistemological problem, not a logical one;...Universal instantiation requires a fixed domain; without it, substitution instan...

    Details

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    claim
    Perspectives
    2 (1 for, 1 against)
    Edits
    1 edit