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Classical Logic in Quantum Context

Oldofredi, Andrea (2020) Classical Logic in Quantum Context. [Preprint]


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It is generally accepted that quantum mechanics entails a revision of the classical propositional calculus as a consequence of its physical content. However, the universal claim according to which a new quantum logic is indispensable in order to model the propositions of every quantum theory is challenged. In the present essay we critically discuss this claim by showing that classical logic can be rehabilitated in a quantum context by taking into account Bohmian mechanics. It will be argued, indeed, that such a theoretical framework provides the necessary conceptual tools to reintroduce a classical logic of experimental propositions in virtue of its clear metaphysical picture and its theory of measurement. More precisely, it will be showed that the rehabilitation of a classical propositional calculus is a consequence of the primitive ontology of the theory, a fact which is not yet sufficiently recognized in the literature concerning Bohmian mechanics. This work aims to fill this gap.

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Item Type: Preprint
Additional Information: Accepted for publication in Quantum Reports
Keywords: Classical Logic; Quantum Logic; Quantum Mechanics; Bohmian Mechanics; Quantum Measurement;
Subjects: Specific Sciences > Mathematics > Logic
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr. Andrea Oldofredi
Date Deposited: 05 Dec 2020 16:37
Last Modified: 05 Dec 2020 16:37
Item ID: 18486
Subjects: Specific Sciences > Mathematics > Logic
Specific Sciences > Physics > Quantum Mechanics
Date: 1 December 2020

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