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Quantum Logic Is Alive [Logical And] (It Is True [Logical Or] It Is False)

Michael Dickson

Philosophy of Science 68 (S1):S274- (2001)

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Interpreting the Modal Kochen–Specker theorem: Possibility and many worlds in quantum mechanics.Christian de Ronde, Hector Freytes & Graciela Domenech - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 45:11-18.details In this paper we attempt to physically interpret the Modal Kochen–Specker theorem. In order to do so, we analyze the features of the possible properties of quantum systems arising from the elements in an orthomodular lattice and distinguish the use of “possibility” in the classical and quantum formalisms. Taking into account the modal and many worlds non-collapse interpretation of the projection postulate, we discuss how the MKS theorem rules the constraints to actualization, and thus, the relation between actual and possible (...) realms. (shrink) Download Export citation Bookmark 12 citations
Wave-Particle Duality and the Objectiveness of “True” and “False”.Arkady Bolotin - 2021 - Foundations of Physics 51 (4):1-27.details The traditional analysis of the basic version of the double-slit experiment leads to the conclusion that wave-particle duality is a fundamental fact of nature. However, such a conclusion means to imply that we are not only required to have two contradictory pictures of reality but also compelled to abandon the objectiveness of the truth values, “true” and “false”. Yet, even if we could accept wave-like behavior of quantum particles as the best explanation for the build-up of an interference pattern in (...) Download Export citation Bookmark 1 citation
The Paradox of Classical Reasoning.Arkady Bolotin - 2022 - Foundations of Physics 52 (4):1-21.details Intuitively, the more powerful a theory is, the greater the variety and quantity of ideas can be expressed through its formal language. Therefore, when comparing two theories concerning the same subject, it seems only reasonable to compare the expressive powers of their formal languages. On condition that the quantum mechanical description is universal and so can be applied to macroscopic systems, quantum theory is required to be more powerful than classical mechanics. This implies that the formal language of Hilbert space (...) Download Export citation Bookmark
Does Science Influence the Logic we Ought to Use: A Reflection on the Quantum Logic Controversy.Michael Ashcroft - 2010 - Studia Logica 95 (1-2):183 - 206.details In this article I argue that there is a sense in which logic is empirical, and hence open to influence from science. One of the roles of logic is the modelling and extending of natural language reasoning. It does so by providing a formal system which succeeds in modelling the structure of a paradigmatic set of our natural language inferences and which then permits us to extend this structure to novel cases with relative ease. In choosing the best system of (...) Download Export citation Bookmark 2 citations

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