Quantum logic revisited

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Foundations of Physics 21 (6):727-734 (1991)
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Abstract

An adequate conjunction-implication pair is given for complete orthomodular lattices. The resulting conjunction is noncommutative in nature. We use the well-known lattice of closed subspaces of a Hilbert space, to give physical meaning to the given lattice operation

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10.1007/bf00733278

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Citations of this work

Implicational quantum logic.Kenji Tokuo - 2022 - Axiomathes 32 (2):473-483.

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References found in this work

The philosophy of quantum mechanics.Max Jammer - 1974 - New York,: Wiley. Edited by Max Jammer.
A New Approach to Quantum Logic.J. L. Bell - 1986 - British Journal for the Philosophy of Science 37 (1):83-99.
Material implication in orthomodular (and Boolean) lattices.Gary M. Hardegree - 1981 - Notre Dame Journal of Formal Logic 22 (2):163-182.
On quantum logic.T. A. Brody - 1984 - Foundations of Physics 14 (5):409-430.

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