Rules and Meaning in Quantum Mechanics

• URL: http://arxiv.org/abs/2310.14634v1
• Date: Mon, 23 Oct 2023 07:14:16 GMT
• Title: Rules and Meaning in Quantum Mechanics
• Authors: Iulian D. Toader
• Abstract summary: It pursues an investigation at an intersection of the philosophy of physics and the philosophy of semantics. It offers a critical analysis of rival explanations of the semantic facts of standard QM. New results include 1) a reconstruction of Einstein's incompleteness argument, which concludes that a local, separable, and categorical QM cannot exist.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: This book concerns the metasemantics of quantum mechanics (QM). Roughly, it pursues an investigation at an intersection of the philosophy of physics and the philosophy of semantics, and it offers a critical analysis of rival explanations of the semantic facts of standard QM. Two problems for such explanations are discussed: categoricity and permanence of rules. New results include 1) a reconstruction of Einstein's incompleteness argument, which concludes that a local, separable, and categorical QM cannot exist, 2) a reinterpretation of Bohr's principle of correspondence, grounded in the principle of permanence, 3) a meaning-variance argument for quantum logic, which follows a line of critical reflections initiated by Weyl, and 4) an argument for semantic indeterminacy leveled against inferentialism about QM, inspired by Carnap's work in the philosophy of classical logic.

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