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    Made withinDC&Austin
    The noncontextuality premise is crucial to the argument i... — Carmelics
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    Home/Skepticism
    HistoryEditSee Inverse

    The noncontextuality premise is crucial to the argument involving Γ1 and Γ2.

    Modality & Possibility
    ?Rate how convincing each reason is below to see the overall strength.
    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.In Γ1, all points except a9 appear in more than one triple.
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    • 2.In Γ2, every point appears in a multiplicity of triples.
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    • 3.The argument assumes that an arbitrary point keeps its value (1 or 0) as we move from one orthogonal triple to the next.
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
    ?
    • 1.Contextual hidden-variable theories, as defended by Bohm and Bell, assign values to observables relative to measurement contexts, not absolutely.
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    • 2.If value assignments are permitted to vary with the experimental arrangement, the inference that a point retains its value across triples is blocked without contradiction.
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    • 3.Therefore, the noncontextuality premise is an additional metaphysical assumption, not a logical necessity entailed by quantum formalism alone.
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    Reason against 2 of 2
    ?
    • 1.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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    • 2.The structural argument from Γ1 and Γ2 presupposes a global coloring exists prior to measurement, which a relational or epistemic interpretation of quantum states explicitly denies.
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    • 3.Without commitment to pre-existing definite values, the impossibility proof demonstrates only that noncontextual realism fails, not that realism per se is untenable.
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    SkepticismModality & Possibility

    Related

    Contextual hidden-variable theories, as defended by Bohm and Bell, assign values...If value assignments are permitted to vary with the experimental arrangement, th...In Γ1, all points except a9 appear in more than one triple.In Γ2, every point appears in a multiplicity of triples.
    +5 moreShow less
    Pitowsky's work on correlations polytopes shows that classical probability model...The argument assumes that an arbitrary point keeps its value (1 or 0) as we move...The structural argument from Γ1 and Γ2 presupposes a global coloring exists prio...Therefore, the noncontextuality premise is an additional metaphysical assumption...Without commitment to pre-existing definite values, the impossibility proof demo...

    Similar

    The Gleason-type argument tacitly assumes noncontextuality.89%The Kochen-Specker (KS) theorem establishes that QM, VD, and non-conte...78%This yields a contradiction, and (MA) is the only substantive premise ...78%Therefore, QM combined with VD is inconsistent with NC, so QM must ent...77%

    Source

    AI-extracted1/3 agreementValid
    SEP: kochen-specker
    View source passageHide passage
    Note that in the construction of Γ1, i.e. the set of 10 points forming 22 interlocking triples, all points except a9 appear in more than one triple. In Γ2 every point appears in a multiplicity of triples. It is here that the noncontextuality premise is crucial to the argument: we assume that an arbitrary point keeps its value 1 or 0 as we move from one orthogonal triple to the next (i.e. from one maximal set of compatible observables to another).
    Extraction notes

    Validity: Extracted via Max plan + API grounding/validity checks

    Details

    Type
    claim
    Perspectives
    3 (1 for, 2 against)
    Edits
    1 edit