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  1. Rethinking Logic: An Empirical Perspective on its Origins and Limitations.Gabriel Merlo-Flores - manuscript
    This essay undertakes an examination of the foundational status of logic, rethinking its origins and limitations from an empirical perspective. Drawing upon the original concepts of Conceptual Quarks (CQs)—defined as the fundamental units of knowledge—and the Programmed Conceptual Deconstruction (PCD) algorithm, which I created for this study, I present methodologies to systematically analyze and deconstruct the principles of logic, exposing their empirical roots. Utilizing a custom-built artificial intelligence model, the study proposes that classical logical principles, such as identity and non-contradiction, (...)
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  • A Sound and Complete Tableaux Calculus for Reichenbach’s Quantum Mechanics Logic.Pablo Caballero & Pablo Valencia - 2024 - Journal of Philosophical Logic 53 (1):223-245.
    In 1944 Hans Reichenbach developed a three-valued propositional logic (RQML) in order to account for certain causal anomalies in quantum mechanics. In this logic, the truth-value _indeterminate_ is assigned to those statements describing physical phenomena that cannot be understood in causal terms. However, Reichenbach did not develop a deductive calculus for this logic. The aim of this paper is to develop such a calculus by means of First Degree Entailment logic (FDE) and to prove it sound and complete with respect (...)
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  • Reichenbach and the logic of quantum mechanics.Gary M. Hardegree - 1977 - Synthese 35 (1):3 - 40.
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  • Revisiting Reichenbach’s logic.Luis Estrada-González & Fernando Cano-Jorge - 2021 - Synthese 199 (5-6):11821-11845.
    In this paper we show that, when analyzed with contemporary tools in logic—such as Dunn-style semantics, Reichenbach’s three-valued logic exhibits many interesting features, and even new responses to some of the old objections to it can be attempted. Also, we establish some connections between Reichenbach’s three-valued logic and some contra-classical logics.
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  • (1 other version)Complementarity in quantum mechanics: A logical analysis.Hugo Bedau & Paul Oppenheim - 1961 - Synthese 13 (3):201 - 232.
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  • Hans Reichenbach on the logic of quantum mechanics.Donald Richard Nilson - 1977 - Synthese 34 (3):313 - 360.
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