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Quantum logic and meaning

Horvat, Sebastian and Toader, Iulian D. (2023) Quantum logic and meaning. [Preprint]

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Abstract

This paper gives a formulation of quantum logic in the abstract algebraic setting laid out by Dunn and Hardegree (2001). On this basis, it provides a comparative analysis of viable quantum logical bivalent semantics and their classical counterparts, thereby showing that the truth-functional status of classical and quantum connectives is not as different as usually thought. Then it points out that bivalent semantics for quantum logic - compatible with realism about quantum mechanics - can be maintained, albeit at the price of truth-functionality. Finally, but more importantly, the paper significantly improves on Hellman's argument (1980) that this lack of truth-functionality entails a change of meaning between classical and quantum connectives.

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Item Type: Preprint
Creators:
CreatorsEmailORCID
Horvat, Sebastiansebastian.horvat@univie.ac.at
Toader, Iulian D.iulian.danut.toader@univie.ac.at0000-0001-9843-2618
Keywords: Quantum logic, meaning variance
Subjects: Specific Sciences > Mathematics > Logic
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Unnamed user with email horvatsebastian96@gmail.com
Date Deposited: 06 Jul 2024 18:21
Last Modified: 06 Jul 2024 18:21
Item ID: 23671
Subjects: Specific Sciences > Mathematics > Logic
Specific Sciences > Physics > Quantum Mechanics
Date: 2023
URI: https://philsci-archive.pitt.edu/id/eprint/23671

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