Toader, Iulian Danut (2024) Distribution can be Dropped: Reply to Rumfitt. [Preprint]

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Abstract

Most believe that there are no empirical grounds that make the adoption of quantum logic necessary. Ian Rumfitt has further argued that this adoption is not possible, either, for the
proof that distribution fails in quantum mechanics is rule-circular or unsound. I respond to Rumfitt, by showing that neither is the case: rule-circularity disappears when an appropriate semantics is considered, and soundness is restored by slightly modifying standard quantum mechanics. Thus, albeit this is indeed not necessary, it is however possible for a quantum logician to rationally adjudicate against classical logic.

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Item Type:	Preprint
Creators:	Creators Email ORCID Toader, Iulian Danut iulian.danut.toader@univie.ac.at 0000-0001-9843-2618
Keywords:	truth-ground semantics, quantum logic, quantum mechanics, rule-circularity
Subjects:	Specific Sciences > Mathematics > Logic Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Iulian D. Toader
Date Deposited:	04 Oct 2024 16:02
Last Modified:	04 Oct 2024 16:02
Item ID:	23985
Subjects:	Specific Sciences > Mathematics > Logic Specific Sciences > Physics > Quantum Mechanics
Date:	2024
URI:	https://philsci-archive.pitt.edu/id/eprint/23985

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