Anti-Diodorean Quantum Logic of Observables
Аннотация
The conception of “Anti-Diodorean” logic is based on the reversal of the definitions of Diodorus Cronus, who proposed to define modal concepts in terms of temporal ones. In case of quantum logic this is done by using the semantic interpretation of anti-Diodorean definitions, i.e. semantically defining spatiotemporal concepts by means of a quantum accessibility relation. Since Quantum Logic of Observables could be treated as the many-valued extension of the usual Quantum Logic, we can consider the Anti-Diodorean Logic of Observables in the same way.
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Vasyukov V. L. Anti-Diodorean Quantum Spacetime Logic Тринадцатые Смирновские чтения: материалы международной научной конференции, Москва, 22–24 июня 2023 г. М.: Издатель А. В. Воробьёв, 2023, с. 56–62.
Dalla Chiara M.-L., Giuntini R. Quantum Logic. Handbook of Philosophical Logic / ed. by D. Gabbay, F. Guenthner. 2nd ed. Vol. 6. Springer, 2002, p. 129–228.
Vasyukov V. L. From Semantics to Syntax: Quantum Logic of Observables. Alternative Logics. Do Sciences Need Them? / ed. by P. Weingartner. Berlin—Heidelberg—New York: Springer, 2003, p. 299–322.
DOI: https://doi.org/10.52119/LPHS.2024.33.38.010
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(c) 2024 V. L. Vasyukov
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