Is quantum logic really logic?

Philosophy of Science 38 (4):508-529 (1971)
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Abstract

Putnam and Finkelstein have proposed the abandonment of distributivity in the logic of quantum theory. This change results from defining the connectives, not truth-functionally, but in terms of a certain empirical ordering of propositions. Putnam has argued that the use of this ordering ("implication") to govern proofs resolves certain paradoxes. But his resolutions are faulty; and in any case, the paradoxes may be resolved with no changes in logic. There is therefore no reason to regard the partially ordered set of propositions as a logic--i.e. as embodying a criterion for soundness of proofs. Its role in quantum theory ought to be understood in an entirely different way

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Citations of this work

The Question of Logic.Saul A. Kripke - 2023 - Mind 133 (529):1-36.
Probability and the interpretation of quantum mechanics.Arthur Fine - 1973 - British Journal for the Philosophy of Science 24 (1):1-37.
Quantum logic as a dynamic logic.Alexandru Baltag & Sonja Smets - 2011 - Synthese 179 (2):285 - 306.
The philosophy of alternative logics.Andrew Aberdein & Stephen Read - 2009 - In Leila Haaparanta (ed.), The Development of Modern Logic. Oxford University Press. pp. 613-723.

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References found in this work

The Problem of Hidden Variables in Quantum Mechanics.Simon Kochen & E. P. Specker - 1967 - Journal of Mathematics and Mechanics 17:59--87.

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