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    Carmelics

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

    It is not the case that Without bivalence, a false antecedent cannot be established merely from the absence of proof of p, blocking the vacuous truth inference in constructive settings.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.Constructive logic still validates ex falso quodlibet; any consistent falsehood blocks vacuous truth regardless of bivalence assumptions.
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    • 2.The claim conflates proof availability with semantic falsity; antecedent falsity remains determinate independent of constructive methodology.
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    • 3.Intuitionistic systems reject bivalence yet still require explicit refutation for falsity; the inference problem precedes bivalence debate.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Constructive logic requires explicit proof of propositions; absence of proof cannot establish negation without violating constructive principles.
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    • 2.Vacuous truth relies on classical bivalence where ¬p is automatically true when p lacks proof, conflating unprovability with falsity.
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    • 3.In constructive settings, false antecedents must be actively demonstrated constructible, not merely assumed from proof-theoretic silence.
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