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    If the bound is structurally necessary rather than contin... — Carmelics
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    Challenges→Super-quantum correlations — correlations that violate Bell-type inequalities beyond the Tsirelson bound — are physically conceivable.

    If the bound is structurally necessary rather than contingent, violations are not physically conceivable but represent category errors about what quantum mechanics permits.

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    1 reason for
    1 reason against

    Reasons For

    1 perspective
    Reason for
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    • 1.Mathematical structure of QM formalisms (Hilbert spaces, commutation relations) necessarily constrains physical possibilities, not merely contingently.
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    • 2.Category errors (like 'colorless green ideas') show some impossibilities are conceptual rather than empirical, paralleling QM bound violations.
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    • 3.If bounds followed contingent physical laws, we should expect empirical evidence of near-violations; their complete absence suggests structural necessity.
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    Reasons Against

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    Reason against
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    • 1.Mathematical formalism describes physical reality but doesn't constitute it; contingent laws could perfectly instantiate the same mathematical structure.
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    • 2.No empirical difference exists between 'structurally impossible' and 'contingently impossible'; both predict zero violations, making the distinction metaphysically idle.
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    • 3.Category errors involve semantic incoherence (contradictory properties), but QM bound violations involve determinate physical quantities—a disanalogous comparison.
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    Modality & Possibility1 linked

    Related

    Category errors (like 'colorless green ideas') show some impossibilities are con...Category errors involve semantic incoherence (contradictory properties), but QM ...If bounds followed contingent physical laws, we should expect empirical evidence...Mathematical formalism describes physical reality but doesn't constitute it; con...
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    Mathematical structure of QM formalisms (Hilbert spaces, commutation relations) ...No empirical difference exists between 'structurally impossible' and 'contingent...Super-quantum correlations — correlations that violate Bell-type inequalities be...

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