Horvat, Sebastian and Toader, Iulian Danut (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, the paper improves on Hellman (1980)’s argument that this lack of truth-functionality entails a change of meaning between classical and quantum logical connectives.

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Item Type:	Preprint
Creators:	Creators Email ORCID Horvat, Sebastian sebastian.horvat@univie.ac.at Toader, Iulian Danut iulian.danut.toader@univie.ac.at
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:	11 Aug 2023 16:46
Last Modified:	11 Aug 2023 16:46
Item ID:	22395
Subjects:	Specific Sciences > Mathematics > Logic Specific Sciences > Physics > Quantum Mechanics
Date:	2023
URI:	https://philsci-archive.pitt.edu/id/eprint/22395

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• Quantum logic and meaning. (deposited 18 Apr 2023 17:37)
  • Quantum logic and meaning. (deposited 06 Jul 2024 18:21)
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