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    Carmelics

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    Home/Original/inverse
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    Inverse View

    It is not the case that 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.

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Quantified formulas in fiction or mathematics need not have concrete domains; abstract or fictional domains are valid domains in model-theoretic semantics.
      ?

      Think about whether this reason is strong or weak

    • 2.Names can rigidly designate without actual instantiation—Kripke allows for rigid designation of non-existent entities in counterfactual and fictional discourse.
      ?

      Think about whether this reason is strong or weak

    • 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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    Reasons Against

    1 perspective
    Reason against
    ?
    • 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.
      ?

      Think about whether this reason is strong or weak

    • 2.Universal instantiation requires a fixed domain; without it, substitution instances become meaningless when names fail to pick out domain elements.
      ?

      Think about whether this reason is strong or weak

    • 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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