The paradox of classical reasoning

DOI10.1007/s10701-022-00604-7OpenAlexW4288748927MaRDI QIDQ2172063

Arkady Bolotin

Publication date: 14 September 2022

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.07374

zbMATH Keywords

Tarski's theory of truthquantum logicset theoryCopenhagen interpretationHilbert space theoryhierarchy of physics theoriesinstrumentalist description

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General and philosophical questions in quantum theory (81P05) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12) Set-theoretic model theory (03C55)

Cites Work

• Some topological properties of paraconsistent models
• Semantic closure
• The mathematical foundations of quantum mechanics
• Zermelo, reductionism, and the philosophy of mathematics
• Reasoning in quantum theory. Sharp and unsharp quantum logics.
• Act theories and the attitudes
• Fast vacuum fluctuations and the emergence of quantum mechanics
• Quantum information versus epistemic logic: an analysis of the Frauchiger-Renner theorem
• The logic of quantum mechanics
• Does Mathematics Need New Axioms?
• Introduction to Boolean Algebras
• A theory of sets with the negation of the axiom of infinity
• Quantum mechanics, local realistic theories, and Lorentz-invariant realistic theories
• Hardy’s paradox according to non-classical semantics
• Finitism in geometry
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