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Titlebook: Logic and Probability in Quantum Mechanics; Patrick Suppes Book 1976 Springer Science+Business Media Dordrecht 1976 Observable.correlation

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Stochastic Incompleteness of Quantum Mechanicsand, and with a controversy of a decade ago in mathematical psychology. (The psychological example is described in detail in the appendix.) Our central claim is that classical quantum mechanics is radically incomplete in its probabilistic account of the motion of particles.
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Errors in the No Hidden Variable Proof of Kochen and Specker for these difficulties, would be the strongest and most general of the available proofs that the structure of quantum mechanics is incompatible with the existence of hidden variables, and would fully meet the objections which von Neumann’s proof is most subject to.
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The Conditional in Quantum Logic quantum logic (QL), there is a philosophical controversy concerning whether this ‘calculus of experimental propositions’ is properly speaking a logic rather than simply an algebraic structure only analogous to logic properly so called. Directly associated with this controversy is the issue of wheth
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Empirical Logic and Quantum Mechanics empirical logic (as developed in Foulis and Randall, 1972, and Randall and Foulis, 1973). Empirical logic is a formal mathematical system in which the notion of an operation is primitive and undefined; all other concepts are rigorously defined in terms of such operations (which are presumed to corr
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