British Journal for the Philosophy of Science 45 (1):95-125 (1994)
In the mid-nineteenth century George Boole formulated his ‘conditions of possible experience’. These are equations and ineqaulities that the relative frequencies of events must satisfy. Some of Boole's conditions have been rediscovered in more recent years by physicists, including Bell inequalities, Clauser Horne inequalities, and many others. In this paper, the nature of Boole's conditions and their relation to propositional logic is explained, and the puzzle associated with their violation by quantum frequencies is investigated in relation to a variety of approaches to the interpretation of quantum mechanics. * While preparing this paper for publication I have learnt of the untimely death of Professor J. S. Bell, and I wish to dedicate the paper to his memory. This research was undertaken while I spent a sabbatical leave at Wolfson College, and the History and Philosophy of Science Department at the University of Cambridge. I would like to thank Michael Redhead and Jeremy Butterfield for their hospitality and for helpful discussions. A first draft of this paper has been distributed among the participants of the conference 'Einstein in Context' which was held in Israel, in April 1990.1 have benefited from the comments of many colleagues. I would like to thank in particular Arthur Fine who enlightened me on the prism models, David Albert. Maya Bar-Hillel. Yemima Ben-Menachem, Mara Beller. Simon Saunders, and Mark Steiner. This research is partially supported by the Edelstein Center for the History and Philosophy of Science at the Hebrew University
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Citations of this work BETA
Betting on the Outcomes of Measurements: A Bayesian Theory of Quantum Probability.Itamar Pitowsky - 2003 - Studies in History and Philosophy of Science Part B 34 (3):395-414.
On the Edge of a Paradigm Shift: Quantum Nonlocality and the Breakdown of Peaceful Coexistence.Kent A. Peacock - 1998 - International Studies in the Philosophy of Science 12 (2):129 – 150.
The Quantum Mechanics of Minds and Worlds.M. Hemmo - 2002 - Studies in History and Philosophy of Science Part B 33 (3):541-553.
Betting on the Outcomes of Measurements: A Bayesian Theory of Quantum Probability.Itamar Pitowsky - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (3):395-414.
The Quantum Mechanics of Minds and Worlds.Meir Hemmo - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 33 (3):541-553.
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