Distribution can be Dropped: Reply to Rumfitt

Fuente: arXiv
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Main Author: Toader, Iulian D.
Format: Preprint
Published: 2024
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author Toader, Iulian D.
author_facet Toader, Iulian D.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2410_06588
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Distribution can be Dropped: Reply to Rumfitt
Toader, Iulian D.
History and Philosophy of Physics
Logic
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.
title Distribution can be Dropped: Reply to Rumfitt
topic History and Philosophy of Physics
Logic
url https://arxiv.org/abs/2410.06588