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Distribution can be dropped: Reply to Rumfitt

2024/10/02 by Iulian D. Toader · 1 voice
Physics and Astronomy · Psychology · Arts and Humanities · #Quantum Mechanics and Applications #Philosophy and Theoretical Science #Philosophy and History of Science

paper · doi:10.1093/analys/anae093

openalex publication_date 2024/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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, although this is indeed not necessary, it is however possible to rationally adjudicate against classical logic.

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