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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 If denial is a primitive speech act coordinate with assertion, the negation introduction rule gains a purely inferential formulation that requires no relaxation of the purity condition.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.Denial and assertion differ fundamentally: assertion commits to truth; denial merely rejects—not symmetric primitives.
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    • 2.Purity conditions require rules to manipulate only target operators; denial as primitive introduces new logical machinery, not purely inferential negation.
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    • 3.Speech act distinctions belong to pragmatics, not proof theory; confusing levels undermines formal negation's inferential integrity.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Assertion and denial have symmetric logical roles: both establish propositional content without metalinguistic commentary.
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    • 2.Negation introduction requires only that contradictory premises yield absurdity—achievable through denial without invoking negation operators.
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    • 3.Treating denial as primitive avoids regress: explaining negation via negation itself violates purity unless grounded in speech acts.
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