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The deduction theorem for quantum logic—some negative results
Journal of Symbolic Logic 55 (2):615-625 (1990)
Abstract
We prove that no logic (i.e. consequence operation) determined by any class of orthomodular lattices admits the deduction theorem (Theorem 2.7). We extend those results to some broader class of logics determined by ortholattices (Corollary 2.6)Author's Profile
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Citations of this work
Topos Theoretic Quantum Realism.Benjamin Eva - 2017 - British Journal for the Philosophy of Science 68 (4):1149-1181.
The Quasi-lattice of Indiscernible Elements.Mauri Cunha do Nascimento, Décio Krause & Hércules Araújo Feitosa - 2011 - Studia Logica 97 (1):101-126.
Strong versus weak quantum consequence operations.Jacek Malinowski - 1992 - Studia Logica 51 (1):113 - 123.
References found in this work
Matrix approach in methodology of sentential calculi.Ryszard Wójcicki - 1973 - Studia Logica 32 (1):7 - 39.
An Algebraic Approach to Non-Classical Logics.Anne Preller - 1977 - Journal of Symbolic Logic 42 (3):432-432.
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