LEADER 03631nam 22006975 450 001 9910741150203321 005 20200706075119.0 010 $a3-319-19384-8 024 7 $a10.1007/978-3-319-19384-7 035 $a(CKB)3710000000434406 035 $a(EBL)2095380 035 $a(OCoLC)911386399 035 $a(SSID)ssj0001525076 035 $a(PQKBManifestationID)11869899 035 $a(PQKBTitleCode)TC0001525076 035 $a(PQKBWorkID)11486466 035 $a(PQKB)11546140 035 $a(DE-He213)978-3-319-19384-7 035 $a(MiAaPQ)EBC2095380 035 $a(PPN)186396961 035 $a(EXLCZ)993710000000434406 100 $a20150620d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aQuantum Physics, Fuzzy Sets and Logic $eSteps Towards a Many-Valued Interpretation of Quantum Mechanics /$fby Jaros?aw Pykacz 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (71 p.) 225 1 $aSpringerBriefs in Physics,$x2191-5423 300 $aDescription based upon print version of record. 311 $a3-319-19383-X 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- 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 ?ukasiewicz logic -- Perspectives -- The many-valued interpretation of quantum mechanics. 330 $aThis Brief presents steps towards elaborating a new interpretation of quantum mechanics based on a specific version of ?ukasiewicz infinite-valued logic. It begins with a short survey of main interpretations of quantum mechanics already proposed, as well as various models of many-valued logics and previous attempts to apply them for the description of quantum phenomena. The prospective many-valued interpretation of quantum mechanics is soundly based on a theorem concerning the isomorphic representation of Birkhoff-von Neumann quantum logic in the form of a special ?ukasiewicz infinite-valued logic endowed with partially defined conjunctions and disjunctions. 410 0$aSpringerBriefs in Physics,$x2191-5423 606 $aQuantum theory 606 $aLogic, Symbolic and mathematical 606 $aMathematical physics 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 606 $aMathematical Logic and Foundations$3https://scigraph.springernature.com/ontologies/product-market-codes/M24005 606 $aMathematical Logic and Formal Languages$3https://scigraph.springernature.com/ontologies/product-market-codes/I16048 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 615 0$aQuantum theory. 615 0$aLogic, Symbolic and mathematical. 615 0$aMathematical physics. 615 14$aQuantum Physics. 615 24$aMathematical Logic and Foundations. 615 24$aMathematical Logic and Formal Languages. 615 24$aMathematical Physics. 676 $a530.12 700 $aPykacz$b Jaros?aw$4aut$4http://id.loc.gov/vocabulary/relators/aut$0792516 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910741150203321 996 $aQuantum Physics, Fuzzy Sets and Logic$91772318 997 $aUNINA