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    Carmelics

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42
    Home/Original/inverse
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    Inverse View

    It is not the case that Bolzano's notion of universal contravalidity requires exhausting all substitutions, but the domain of substitution for 'philosopher' is not fixed or well-defined.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.Many meaningful concepts (justice, art, person) have fuzzy boundaries yet remain useful in rigorous reasoning.
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    • 2.Contravalidity can succeed with a working definition: e.g., 'philosopher' = systematic thinker on fundamental questions.
      ?

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    • 3.Requiring perfectly fixed domains for all predicates sets an impossible standard most of language would fail.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Bolzano's contravalidity requires checking all possible substitutions, which demands a determinate domain.
      ?

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    • 2.'Philosopher' lacks fixed boundaries: includes ancient thinkers, non-Western traditions, and disputed borderline cases.
      ?

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    • 3.Without a well-defined domain, we cannot exhaustively verify contravalidity claims, making the standard inapplicable.
      ?

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