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    Carmelics

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    LoyalLoyalJusticeJustice
    Made withinDC&Austin
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    Home/Original/inverse
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    Inverse View

    It is not the case that Basic Law V's presupposed one-to-one correlation thus violates a provable cardinality constraint, independently of Russell's Paradox.

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

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.Basic Law V need not assume bijection between all concepts and extensions—only that coextensive concepts map to identical extensions, a weaker claim.
      ?

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    • 2.Cantor's theorem applies to completed infinite sets, but conceptual domains may not form the kind of completed totality required for the theorem's proof.
      ?

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    • 3.The cardinality objection conflates metaphysical extension-formation with set-theoretic cardinality constraints that may not apply to Frege's logical universe.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Basic Law V maps each concept to a unique extension, creating a bijection that presumes cardinality parity between concepts and their extensions.
      ?

      Think about whether this reason is strong or weak

    • 2.By Cantor's theorem, the power set of any set exceeds the set's cardinality, so no bijection can exist between all concepts and all their extensions.
      ?

      Think about whether this reason is strong or weak

    • 3.This cardinality mismatch is a structural flaw independent of whether paradoxical concepts like the Russell set actually exist.
      ?

      Think about whether this reason is strong or weak

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