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    Carmelics

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

    It is not the case that Intuitionistic logic (Brouwer, Heyting) rejects these classical laws, severing the bridge from semantic consequence to syntactic provability.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.Intuitionistic logic's restriction makes it weaker; rejecting excluded middle costs us legitimate classical theorems without compensating practical gains.
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    • 2.The claim misdiagnoses classical logic: completeness theorems (Gödel) show classical syntax and semantics are actually well-aligned, not severed.
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    • 3.Constructivism's demand for algorithmic witnesses is philosophically motivated, not logically necessary; it smuggles computational ideology into foundations.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Constructive proofs align logic with computational reality: only constructively provable statements yield effective algorithms and concrete witnesses.
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    • 2.Classical law of excluded middle assumes decidability without justification; intuitionistic logic avoids this unfounded metaphysical commitment.
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    • 3.Rejecting semantic-syntactic collapse prevents false confidence that truth-conditions exist independently of what we can actually verify or construct.
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