03631nam 22006975 450 991074115020332120200706075119.03-319-19384-810.1007/978-3-319-19384-7(CKB)3710000000434406(EBL)2095380(OCoLC)911386399(SSID)ssj0001525076(PQKBManifestationID)11869899(PQKBTitleCode)TC0001525076(PQKBWorkID)11486466(PQKB)11546140(DE-He213)978-3-319-19384-7(MiAaPQ)EBC2095380(PPN)186396961(EXLCZ)99371000000043440620150620d2015 u| 0engur|n|---|||||txtccrQuantum Physics, Fuzzy Sets and Logic Steps Towards a Many-Valued Interpretation of Quantum Mechanics /by Jarosław Pykacz1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (71 p.)SpringerBriefs in Physics,2191-5423Description based upon print version of record.3-319-19383-X Includes bibliographical references and index.Introduction -- A brief survey of main interpretations of quantum mechanics -- A brief survey of many-valued logics -- Fuzzy sets and many-valued logics -- Many-valued logics in quantum mechanics -- Birkhoff–von Neumann quantum logic -- Birkhoff–von Neumann quantum logic as infinite-valued Łukasiewicz logic -- Perspectives -- The many-valued interpretation of quantum mechanics.This Brief presents steps towards elaborating a new interpretation of quantum mechanics based on a specific version of Łukasiewicz infinite-valued logic. It begins with a short survey of main interpretations of quantum mechanics already proposed, as well as various models of many-valued logics and previous attempts to apply them for the description of quantum phenomena. The prospective many-valued interpretation of quantum mechanics is soundly based on a theorem concerning the isomorphic representation of Birkhoff-von Neumann quantum logic in the form of a special Łukasiewicz infinite-valued logic endowed with partially defined conjunctions and disjunctions.SpringerBriefs in Physics,2191-5423Quantum theoryLogic, Symbolic and mathematicalMathematical physicsQuantum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19080Mathematical Logic and Foundationshttps://scigraph.springernature.com/ontologies/product-market-codes/M24005Mathematical Logic and Formal Languageshttps://scigraph.springernature.com/ontologies/product-market-codes/I16048Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Quantum theory.Logic, Symbolic and mathematical.Mathematical physics.Quantum Physics.Mathematical Logic and Foundations.Mathematical Logic and Formal Languages.Mathematical Physics.530.12Pykacz Jarosławauthttp://id.loc.gov/vocabulary/relators/aut792516MiAaPQMiAaPQMiAaPQBOOK9910741150203321Quantum Physics, Fuzzy Sets and Logic1772318UNINA