4 v 1 1 J un 2 00 4 George Boole and the Bell inequalities
نویسنده
چکیده
As shown by Pitowsky, the Bell inequalities are related to certain classes of probabilistic inequalities dealt with by George Boole, back in the 1850s. Here a short presentation of this relationship is given. Consequently, the Bell inequalities can be obtained without any assumptions of physical nature, and merely through mathematical argument. The importance of the typically quantum phenomenon of entangle-ment is well known. This issue of entanglement has been, and still is of special focus in Quantum Mechanics, not least due to its intimate connection to such fundamental disputes as locality versus nonlocality, and the related literature is indeed vast. It is also of major importance in the fast emerging theory of Quantum Computation. The first time an entanglement based argument was used in a critically important manner in Quantum Theory was in the celebrated EPR paper. Nearly three decades after the EPR paper had appeared in 1935, John Bell published in 1964 what amounted to a surprising conflict between 1
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