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 | |||||||||
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| Keywords: | Quantum logic, meaning variance | |||||||||
| Subjects: | Specific Sciences > Mathematics > Logic Specific Sciences > Physics > Quantum Mechanics |
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| Depositing User: | Unnamed user with email horvatsebastian96@gmail.com | |||||||||
| Date Deposited: | 11 Nov 2025 13:45 | |||||||||
| Last Modified: | 11 Nov 2025 13:45 | |||||||||
| Item ID: | 27195 | |||||||||
| Subjects: | Specific Sciences > Mathematics > Logic Specific Sciences > Physics > Quantum Mechanics |
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| Date: | 2023 | |||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/27195 |
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Quantum logic and meaning. (deposited 18 Apr 2023 17:37)
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Quantum logic and meaning. (deposited 06 Jul 2024 18:21)
- Quantum logic and meaning. (deposited 11 Nov 2025 13:45) [Currently Displayed]
- Quantum logic and meaning. (deposited 11 Aug 2023 16:46)
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Quantum logic and meaning. (deposited 06 Jul 2024 18:21)
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