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  1. Pair distributions and conditional independence: Some hints about the structure of strange quantum correlations.N. D. Mermin - 1983 - Philosophy of Science 50 (3):359-373.
    Some statistical questions that arise in studies of Einstein-Podolsky-Rosen correlations are given precise and complete answers for a very simple but artificial set of pair distributions. Some recent results and conjectures about hidden variable representations of the more complex distributions that describe the Einstein-Podolsky-Rosen experiment are examined in the light of the behavior of the simple model.
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  • Quantum/classical correspondence in the light of Bell's inequalities.Leonid A. Khalfin & Boris S. Tsirelson - 1992 - Foundations of Physics 22 (7):879-948.
    Instead of the usual asymptotic passage from quantum mechanics to classical mechanics when a parameter tended to infinity, a sharp boundary is obtained for the domain of existence of classical reality. The last is treated as separable empirical reality following d'Espagnat, described by a mathematical superstructure over quantum dynamics for the universal wave function. Being empirical, this reality is constructed in terms of both fundamental notions and characteristics of observers. It is presupposed that considered observers perceive the world as a (...)
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  • Bell's theorem, inference, and quantum transactions.A. J. M. Garrett - 1990 - Foundations of Physics 20 (4):381-402.
    Bell's theorem is expounded as an analysis in Bayesian inference. Assuming the result of a spin measurement on a particle is governed by a causal variable internal (hidden, “local”) to the particle, one learns about it by making a spin measurement; thence about the internal variable of a second particle correlated with the first; and from there predicts the probabilistic result of spin measurements on the second particle. Such predictions are violated by experiment: locality/causality fails. The statistical nature of the (...)
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  • Bell Inequalities as Constraints on Unmeasurable Correlations.Costantino Budroni & Giovanni Morchio - 2012 - Foundations of Physics 42 (4):544-554.
    The interpretation of the violation of Bell-Clauser-Horne inequalities is revisited, in relation with the notion of extension of QM predictions to unmeasurable correlations. Such extensions are compatible with QM predictions in many cases, in particular for observables with compatibility relations described by tree graphs. This implies classical representability of any set of correlations 〈A i 〉, 〈B〉, 〈A i B〉, and the equivalence of the Bell-Clauser-Horne inequalities to a non void intersection between the ranges of values for the unmeasurable correlation (...)
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  • Bell's theorem and Bayes' theorem.A. J. M. Garrett - 1990 - Foundations of Physics 20 (12):1475-1512.
    Bell's theorem is expounded as an analysis in Bayesian probabilistic inference. Assume that the result of a spin measurement on a spin-1/2 particle is governed by a variable internal to the particle (local, “hidden”), and examine pairs of particles having zero combined angular momentum so that their internal variables are correlated: knowing something about the internal variable of one tells us something about that of the other. By measuring the spin of one particle, we infer something about its internal variable; (...)
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