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    Carmelics

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

    It is not the case that Negation operates on the logical form of a predicate, not on its extension, so universality of extension does not block infinitatio.

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

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.If a predicate applies to everything (universal extension), negating its form yields a predicate with empty extension, which may be meaningless.
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    • 2.The distinction between form and extension cannot solve the semantic problem: iterated negations eventually lose rational interpretability regardless of logical structure.
      ?

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    • 3.Infinitatio poses a metaphysical problem about infinite regress, not merely a logical-formal one, so form/extension distinction alone cannot resolve it.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Logical form and extension are distinct: a predicate's logical structure can be negated independently of what objects satisfy it.
      ?

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    • 2.Infinitatio (infinite regress of negations) depends on formal-syntactic operations, not on whether predicates apply to everything or nothing.
      ?

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    • 3.Even universally true predicates can undergo logical negation at the form level, producing meaningful but extensionally empty results.
      ?

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