Quantum logic and the classical propositional calculus

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1987 English Publisher:Cambridge University Press (CUP)Journal:The Journal of Symbolic Logic, volume 52, pages 834-841 (issn: 0022-4812, eissn: 1943-5886,

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Authors: Othman Qasim Malhas;

doi: 10.2307/2274369

Quantum logic and the classical propositional calculus

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Abstract

Abstract In much the same way that it is possible to construct a model of hyperbolic geometry in the Euclidean plane, it is possible to model quantum logic within the classical propositional calculus.

Keywords

Complemented lattices, orthocomplemented lattices and posets, lattice of closed subspaces, modelling quantum logic in the classical propositional calculus, poset of a theory, equivalence classes of the initial formulas, Hilbert space, Quantum logic

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