Abstract
Quantum logic, usually interpreted as non-distributive but two-valued logic, is reinterpreted as many-valued logic. This allows to explain the logical background of the wave-particle duality exhibited in the double-slit experiment in a better way than it can be done with the use of classical two-valued logic.
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References
G. Birkhoff and J. von Neumann, Ann. of Math. 37 (1936) 823–843.
E. Beltrametti and G. Cassinelli, The Logic of Quantum Mechanics (Addison-Wesley, Reading, 1981).
M. J. Mączyński, Studia Mathematica 47 (1973) 253–259.
J. Pykacz, “Quantum logics as families of fuzzy subsets of the set of physical states,” in Preprints of the Second IFSA Congress, Tokyo, July 20-25, 1987, Vol. 2, pp. 437–440.
J. Pykacz, Int. J. Theor. Phys. 33 (1994) 1419–1432.
R. Giles, Int. J. Man-Machine Studies, 8 (1976) 313–327.
O. Frink, “New algebras of logic,” Amer. Math. Monthly 45 (1938) 210–219.
J. Pykacz, “Algebras and logics of physical systems,” to be published in: M. Dalla Chiara, R. Giuntini, and F. Laudisa, eds., Philosophy of Science in Florence 1995 (Kluwer Academic, Dordrecht, 1997).
P. Mittelstaedt, A. Prieur, and R. Schieder, Found. Phys. 17 (1987) 891–903.
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© 1997 Springer Science+Business Media Dordrecht
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Pykacz, J. (1997). Many-Valued Interpretation of the Logic of Quantum Mechanics. In: Ferrero, M., van der Merwe, A. (eds) New Developments on Fundamental Problems in Quantum Physics. Fundamental Theories of Physics, vol 81. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5886-2_41
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DOI: https://doi.org/10.1007/978-94-011-5886-2_41
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