Independently motivating the kochen-Dieks modal interpretation of quantum mechanics

Abstract
The distinguishing feature of ‘modal’ interpretations of quantum mechanics is their abandonment of the orthodox eigenstate–eigenvalue rule, which says that an observable possesses a definite value if and only if the system is in an eigenstate of that observable. Kochen's and Dieks' new biorthogonal decomposition rule for picking out which observables have definite values is designed specifically to overcome the chief problem generated by orthodoxy's rule, the measurement problem, while avoiding the no-hidden-variable theorems. Otherwise, their new rule seems completely ad hoc. The ad hoc charge can only be laid to rest if there is some way to give Kochen's and Dieks' rule for picking out which observables have definite values some independent motivation. And there is, or so I will argue here. Specifically, I shall show that theirs is the only rule able to save Schrödinger's cat from a fate worse than death, and sidestep the Bell–Kochen–Specker no-hidden-variables theorem, once we impose four independently natural conditions on such rules.
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DOI 10.1093/bjps/46.1.33
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Yuichiro Kitajima (2006). On the Problem of Hidden Variables in Algebraic Quantum Field Theory. Annals of the Japan Association for Philosophy of Science 15 (1):25-38.
Guido Bacciagaluppi & Meir Hemmo (1996). Modal Interpretations, Decoherence and Measurements. Studies in History and Philosophy of Science Part B 27 (3):239-277.
Olimpia Lombardi, Mario Castagnino & Juan Sebastián Ardenghi (2010). The Modal-Hamiltonian Interpretation and the Galilean Covariance of Quantum Mechanics. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 41 (2):93-103.

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