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    Negation operates on the logical form of a predicate, not... — Carmelics
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    Challenges→Terms that contain all things cannot be made infinite by term-negation.

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

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    1 reason for
    1 reason against

    Reasons For

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    Reason for
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    • 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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    Reasons Against

    1 perspective
    Reason against
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    • 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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    Truth & Knowledge1 linkedPhilosophy of Language1 linked

    Related

    Even universally true predicates can undergo logical negation at the form level,...If a predicate applies to everything (universal extension), negating its form yi...Infinitatio (infinite regress of negations) depends on formal-syntactic operatio...Infinitatio poses a metaphysical problem about infinite regress, not merely a lo...
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    Logical form and extension are distinct: a predicate's logical structure can be ...Terms that contain all things cannot be made infinite by term-negation.The distinction between form and extension cannot solve the semantic problem: it...

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