Click Here to Download: https://ouo.io/Kr0MVU Quantum Physics, Fuzzy Sets and Logic Steps Towards a Many-Valued Interpretation of Quantum Mechanics By: Jarosław Pykacz Publisher: Springer Print ISBN: 9783319193830, 331919383X eText ISBN: 9783319193847, 3319193848 Copyright year: 2015 Format: PDF Available from $ 69.99 USD SKU 9783319193847 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.