Quantum Physics, Fuzzy Sets and Logic


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Steps Towards a Many-Valued Interpretation of Quantum Mechanics
Author(s): Jaroslaw Pykacz
Format: Paperback
Publisher: Springer International Publishing AG, Switzerland
Imprint: Springer International Publishing AG
ISBN-13: 9783319193830, 978-3319193830

Synopsis

This Brief presents steps towards elaborating a new interpretation of quantum mechanics based on a specific version of Lukasiewicz 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 Lukasiewicz infinite-valued logic endowed with partially defined conjunctions and disjunctions.