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    Inverse View

    It is not the case that Pitowsky's work on correlations polytopes shows that classical probability models can reproduce quantum statistics if one relaxes the assumption of global value-definite assignments.

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    Reasons For

    1 perspective
    Reason for
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    • 1.Relaxing global value-definiteness abandons realism about properties; without it, the classical framework becomes merely instrumentalist bookkeeping, not genuine explanation.
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    • 2.Pitowsky's construction requires context-dependent probability assignments that are themselves nonclassical, shifting rather than solving the conceptual problem of quantum weirdness.
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    • 3.Bell's theorem implies no local hidden-variable model reproduces quantum predictions; Pitowsky's result requires non-locality, which defeats the classical framework's original motivation.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.Pitowsky's polytope framework mathematically demonstrates that quantum correlations lie within classical convex combinations when measurement contexts vary locally.
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    • 2.Relaxing global value-definiteness aligns with contextuality, which experiments confirm is necessary; this shows classical models need not assume pre-determined outcomes.
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    • 3.If classical probability can reproduce quantum statistics with weaker assumptions, Occam's razor favors the classical framework over positing intrinsic quantum indeterminacy.
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