The Pros and Cons of the Kochen-Dieks and the Atomic Modal Interpretation
In this paper I discuss two versions of the modal interpretation of quantum mechanics: the modal interpretation as formulated by Kochen and Dieks, and the atomic modal interpretation proposed by Bacciagaluppi and Dickson. I examine whether these interpretations yield a conceptually coherent description of reality and whether they solve the measurement problem.
Modal interpretations ascribe actually possessed properties to quantum systems. I argue that the Kochen-Dieks interpretation cannot simultaneously ascribe properties to many systems, that it does not provide dynamics for the ascribed properties and that it yields an odd though tenable relation between the properties of systems and subsystems. The atomic modal interpretation violates in its turn the assumption that measurements which yield with probability 1 a positive outcome, reveal initially possessed properties.
The Kochen-Dieks and the atomic modal interpretation do not always solve the measurement problem because they do not always ascribe the required readings to the measurement device after a measurement. I define for both interpretations classes of measurements for which they do solve the measurement problem. These classes comprise error-prone measurements and measurements perturbed by environmental influences.
KeywordsJoint Probability Measurement Problem Collective Effect Dispositional Property Reading State
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