Abstract
In the contemporary discussion of hidden variable interpretations of quantum mechanics, much attention has been paid to the “no hidden variable” proof contained in an important paper of Kochen and Specker. It is a little noticed fact that Bell published a proof of the same result the preceding year, in his well-known 1966 article, where it is modestly described as a corollary to Gleason's theorem. We want to bring out the great simplicity of Bell's formulation of this result and to show how it can be extended in certain respects.
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References
F. J. Bellinfante,A Survey of Hidden Variable Theories. (Pergamon Press, New York, 1973).
J. S. Bell, On the Problem of Hidden Variables in Quantum Mechanics,Rev. Mod. Phys. 38, 447 (1966).
J. Bub,The Interpretation of Quantum Mechanics (Reidel, Boston, 1974).
A. Fine, On the Completeness of Quantum Theory, inLogic and Probability in Quantum Mechanics, (P. Suppes, ed.) Reidel, Boston, Mass., 1976, pp. 249–281.
S. Kochen and E. P. Specker, The Problem of Hidden Variables in Quantum Mechanics,J. Math. Mech. 17, 59 (1967).
C. Glymour, A. Fine, and N. Cartwright, A Panel Discussion on the Sum Rule in Quantum Mechanics,Phil. Sci. 44, 86 (1977).
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Work on this paper was partially supported by National Science Foundation Grants SOC 76-82113 and SOC 76-10659.
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Fine, A., Teller, P. Algebraic constraints on hidden variables. Found Phys 8, 629–636 (1978). https://doi.org/10.1007/BF00717586
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DOI: https://doi.org/10.1007/BF00717586