Quantum physics, fuzzy sets and logic. Steps towards a many-valued interpretation of quantum mechanics

DOI10.1007/978-3-319-19384-7zbMath1328.81020OpenAlexW2476628767MaRDI QIDQ2348340

Jarosław Pykacz

Publication date: 11 June 2015

Published in: SpringerBriefs in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-19384-7

zbMATH Keywords

fuzzy logicfuzzy setorthomodular posetorthomodular latticestatequantum logicmeasurementquantum structureHilbert latticeorder-determining set of statesŁukasiewicz operationstwo-split experiment

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) History of mathematics in the 20th century (01A60) Theory of fuzzy sets, etc. (03E72) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Physics (00A79)

Related Items (9)

Sasaki projections ⋮ What is the uncertainty principle of non-relativistic quantum mechanics? ⋮ Hardy’s paradox according to non-classical semantics ⋮ Quantum supervaluationism ⋮ Binary relations, Bäcklund transformations, and wave packet propagation ⋮ The many-valued logic of quantum mechanics ⋮ Translation from three-valued quantum logic to modal logic ⋮ The problem of conjunction and disjunction in quantum logics ⋮ Quantum contextuality implies a logic that does not obey the principle of bivalence

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