Distribution can be dropped: Reply to Rumfitt

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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Publication Details

Journal
Analysis
Published
2024-10-02
DOI
https://doi.org/10.1093/analys/anae093
Citations
1
Primary Topic
Quantum Mechanics and Applications
Type
article
Field-Weighted Citation Impact
0.34
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article

Distribution can be dropped: Reply to Rumfitt

Iulian D. Toader
1 citations
Analysis
Quantum Mechanics and Applications
0.34
article

Distribution can be dropped: Reply to Rumfitt

Iulian D. Toader
article en
1 citations

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.

AnalysisVol. 85(4)
University of Vienna (AT)
Peace, Justice and strong institutions
Openalex Percentile: Top 40%
Quantum Mechanics and Applications
0.34
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