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    Carmelics

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    Inverse View

    It is not the case that Property holism holds in the modal interpretation of quantum mechanics.

    ?Set your confidence on the premises below to see your aggregate.

    Reasons For

    2 perspectives
    Reason for 1 of 2
    ?
    • 1.Modal interpretations assign definite properties via preferred observables determined by the reduced density matrix of each subsystem independently.
      ?

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    • 2.If each subsystem's definite properties are fixed by its own reduced state, the joint system's properties may be recoverable from subsystem states plus correlations.
      ?

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    • 3.Supervenience failure requires showing no logically possible base-level completion recovers whole-system properties, which modal interpretations' biorthogonal decomposition does not conclusively preclude.
      ?

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    Reason for 2 of 2
    ?
    • 1.Clifton (1995) demonstrated that in certain modal interpretations, possessed properties of composite systems are fully determined by the properties of components under the spectral decomposition rule.
      ?

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    • 2.If property composition holds for at least some entangled states under the Kochen-Dieks modal interpretation, holism cannot be stated as a general thesis about modal interpretations as a class.
      ?

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    Reasons Against

    1 perspective
    Reason against
    ?
    • 1.The failure of property composition implies property holism.
      ?

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    • 2.In state |ψ9⟩, the properties of the particle pair do not supervene upon the properties of its subsystems and the spatiotemporal relations between them.
      ?

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