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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
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    Inverse View

    It is not the case that A criterion that yields contradictions via Leibniz's Law—where A=B and B=C but A≠C—is not merely circular but logically incoherent as a sufficient condition.

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    Reasons For

    1 perspective
    Reason for
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    • 1.The contradiction may arise from context-dependent criteria where A=B in context-1, B=C in context-2, but A≠C in context-3—not the criterion itself being incoherent.
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    • 2.Sufficient conditions can be imperfect guides to identity without being logically incoherent; they may be epistemically useful despite theoretical tensions.
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    • 3.The claim conflates the criterion's failure to preserve Leibniz's Law with logical incoherence; the criterion itself may be internally consistent while its application misleads.
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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.Leibniz's Law (indiscernibility of identicals) is a foundational logical principle; violating it indicates a fundamental failure in the criterion's coherence.
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    • 2.A criterion that produces A=B, B=C, but A≠C demonstrates it cannot reliably track identity relations, making it unreliable as a sufficient condition.
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    • 3.Circularity and logical incoherence are distinct vices; the contradiction here reflects incoherence itself, not mere circular reasoning in the criterion.
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