David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Philosophy of Science 33 (1/2):14-21 (1966)
The aim of this paper is to state the single most powerful argument for use of a non-classical logic in quantum mechanics. In outline the argument is the following. The working logic of a science is the logic of the events and propositions to which probabilities are assigned. A probability should be assigned to every element of the algebra of events. In the case of quantum mechanics probabilities may be assigned to events but not, without restriction, to the conjunction of two events. The conclusion is that the working logic of quantum mechanics is not classical. The nature of the logic that is appropriate for quantum mechanics is examined
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Peter D. Bruza, Zheng Wang & Jerome R. Busemeyer (2015). Quantum Cognition: A New Theoretical Approach to Psychology. Trends in Cognitive Sciences 19 (7):383-393.
Mioara Mugur-Schächter (1991). Spacetime Quantum Probabilities, Relativized Descriptions, and Popperian Propensities. Part I: Spacetime Quantum Probabilities. [REVIEW] Foundations of Physics 21 (12):1387-1449.
J. M. Jauch (1974). The Quantum Probability Calculus. Synthese 29 (1-4):131 - 154.
Zoltan Domotor (1974). The Probability Structure of Quantum-Mechanical Systems. Synthese 29 (1-4):155 - 185.
M. L. Dalla Chiara & R. Giuntini (1994). Partial and Unsharp Quantum Logics. Foundations of Physics 24 (8):1161-1177.
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