Abstract
Let L be an orthomodular lattice (OML). It is well-known that there is no operation → definable in terms of lattice operations such that → satisfies most of the desirable conditions for a non-modal implication.5 Some authors have come to the conclusion that perhaps the implication in quantum logic must be treated as the relation ≤ in L.4
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References
A.R. Anderson and N.D. Belnap Jr., “Entailment: the Logic of Relevance and Necessity, Vol. I”, Princeton University Press (1975).
G.N. Georgacarakos, Orthomodularity and Relevance, J. Philos. Logic 8 (1979), pp. 415–432.
G. Gratzer, “Universal Algebra”, Van Nostrand (1968).
R.J. Greechie and S.P. Gudder, Quantum logics, “Research in the Foundations and Philosophy of Quantum Theory”, C.A. Hooker ed. Reidei, Dordrecht (1974).
G.M. Hardegree, The conditional in abstract and concrete quantum logic, in “Logico-Algebraic Approach to Quantum Mechanics, Vol. II”, C.A. Hooker ed.. Reidei, Dordrecht (1979), pp. 49–108.
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© 1981 Plenum Press, New York
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Kron, A., Maric, Z., Vujosevic, S. (1981). Entailment and Quantum Logic. In: Beltrametti, E.G., van Fraassen, B.C. (eds) Current Issues in Quantum Logic. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3228-2_14
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DOI: https://doi.org/10.1007/978-1-4613-3228-2_14
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