Bibliography
Birkhoff, G., Lattice Theory, Amer. Math. Soc. Colloq. Publ. 1948.
Birkhoff, G. and von Neumann, J.: ‘The Logic of Quantum Mechanics’, Ann. of Math. 37 (1936) 823–843.
Carnap, R., ‘Testability and Meaning’, Phil. of Sci. 3 (1936) 419–471 and 4 (1937) 1–40.
Cohen, L., ‘Can Quantum Mechanics Be Formulated as a Classical Probability Theory?’ Phil. of Sci. 33 (1966) 317–322.
Fano, V. and Fano, L., Basic Physics of Atoms and Molecules, Wiley, New York, 1959.
Kolmogorov, A. N., Grundbegriffe der Wahrscheinlichkeitsrechnung, Berlin 1933.
Mackey, G. W., ‘Quantum Mechanics and Hilbert Space’, Amer. Math. Monthly 64 (1957) 45–57.
Mackey, G. W., The Mathematical Foundations of Quantum Mechanics, Benjamin, New York, 1963.
Messiah, A., Quantum Mechanics, vol. I, Wiley, New York, 1967.
Moyal, J. E., ‘Quantum Mechanics as a Statistical Theory’, Proc. Cambridge Phil. Soc. 45 (1949) 97–124.
Nelson, E., Dynamical Theories of Brownian Motion, Princeton University Press, Princeton, 1967.
Popper, K. R., ‘Quantum Mechanics without the Observer’, in Quantum Theory and Reality (ed. M. Bunge), Springer, Berlin, 1967.
Reichenbach, H., Philosophic Foundations of Quantum Mechanics, University of California Press, Berkeley, 1944.
Strauss, M., ‘Zur Begründung der statistischen Transformations theorie der Quantenphysik’, Sitzungsber. der Berliner Akademie der Naturwissenschaft, Phys-Math. Kl. 1936, pp. 302–398.
Suppes, P. C., ‘Probability Concepts in Quantum Mechanics’, Phil. of Sci. 28 (1961) 378–389.
Suppes, P. C., ‘The Probabilistic Argument for a Non-Classical Logic of Quantum Mechanics’, Phil. of Sci. 33 (1966) 14–21.
Varadarajan, V. S., ‘Probability in Physics and a Theorem on Simultaneous Observability’, Comm. on Pure and Appl. Math. 15 (1962) 189–217.
Wigner, E. P., ‘On the Quantum Correction for Thermodynamic Equilibrium’, Phys. Rev. 40 (1932) 749–759.
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The research reported here was partially supported by NSF Grant GS-1263.
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Sneed, J.D. Quantum mechanics and classical probability theory. Synthese 21, 34–64 (1970). https://doi.org/10.1007/BF00414187
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DOI: https://doi.org/10.1007/BF00414187