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    Carmelics

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    Made withinDC&Austin
    Home/Original/inverse
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    Inverse View

    It is not the case that The proposition 'Every German philosopher is American' is universally contravalid with respect to the idea [philosopher]

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

    Reasons For

    2 perspectives
    Reason for 1 of 2
    ?
    • 1.Bolzano's notion of universal contravalidity requires exhausting all substitutions, but the domain of substitution for 'philosopher' is not fixed or well-defined.
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    • 2.If we substitute 'philosopher' with a vacuous idea (e.g., 'round square'), the proposition becomes vacuously true, violating the contravalidity claim.
      ?

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    • 3.Frege and later Quine showed that quantification over empty domains undermines classical universal claims, making Bolzano's substitutional criterion domain-sensitive.
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    Reason for 2 of 2
    ?
    • 1.Carnap's intensional logic holds that the truth value of universal propositions depends on the modal frame, not merely actual-world substitutions.
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    • 2.In a possible world where all German philosophers emigrate and naturalize as Americans, the proposition 'Every German philosopher is American' is true for all substitutions of 'philosopher'.
      ?

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    • 3.Therefore universal contravalidity, assessed only across actual substitution instances, conflates logical falsity with contingent falsity in a way Bolzano's framework cannot resolve.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.No German is American
      ?

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    • 2.A proposition is universally contravalid with respect to a sequence of ideas if it fails for all substitutions of those ideas
      ?

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    Next step

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    Strongest counterpoint
    Explore the most compelling reason on the other side.
    Statements
    321,452
    Perspectives
    108,905
    Topics
    42