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    Condition (3) need only hold for compatible observables (... — Carmelics
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    Challenges→Von Neumann's argument against hidden variables is unsatisfying.

    Condition (3) need only hold for compatible observables (those jointly measurable in one arrangement).

    CausationModality & Possibility
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    For incompatible observables, hidden variable interpretations need only satisfy ...Requirements (1) and (2) being consequences of the QM formalism for QM states do...Von Neumann's argument against hidden variables is unsatisfying.Von Neumann's argument requires hidden variable interpretations to satisfy condi...

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    The Gleason-type argument derives restrictions on value assignments on...74%Von Neumann's argument requires hidden variable interpretations to sat...73%X,A ⊢ B expresses that B holds in any possibility where A is true, not...72%Leibniz's derivation assumes that all necessary conditions for somethi...72%

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    The example illustrates why von Neumann’s argument is unsatisfying. Nobody disputes the move from (2) to (3) for compatible observables, i.e. those which, according to QM, are jointly measurable in one arrangement. The above choice of A, B, C, however, is such that any two of them are incompatible, i.e. are not jointly observable. For these we will not want to require any HV interpretation to meet (3), but only (2). The hidden values need not conform with (3) in general, only the averages of the

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