Kochen-Specker theorem in the modal interpretation of quantum mechanics |
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Authors: | Guido Bacciagaluppi |
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Affiliation: | (1) Faculty of Philosophy, University of Cambridge, CB3 9DA Cambridge, UK |
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Abstract: | According to the modal interpretation of quantum mechanics, subsystems of a quantum mechanical system have definite properties, the set of definite properties forming a partial Boolean algebra. It is shown that these partial Boolean algebras have no common extension (as a partial Boolean subalgebra of the properties of the total system) that is embeddable in a Boolean algebra. One has thus either to restrict the rules to preferred subsystems (Healey), or to advocate a shift in metaphysics (Dieks). |
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