Titlebook: Quantum Physics, Fuzzy Sets and Logic; Steps Towards a Many Jarosław Pykacz Book 2015 The Author(s) 2015 Birkhoff–von Neumann Quantum Logic

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Book 2015gic. 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 b

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Book 2015ased 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..

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A Brief Survey of Main Interpretations of Quantum Mechanics, subjective. In particular, in our opinion ontic determinism precludes the existence of free will, which we treasure, therefore indeterminism is in our opinion a virtue, not a drawback of an interpretation.

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Fuzzy Sets and Many-Valued Logics, which, according to two-valued logic, enable all the objects under consideration to be unambiguously divided into two disjoint classes: objects that belong to a set and objects that do not belong to a set and form its complement.

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Perspectives,ding problems, namely the development of quantum probability calculus in a way completely analogous to the orthodox Kolmogorovian probability theory, and the construction of a phase space representation of quantum mechanics not plagued by the appearance of negative probabilities.

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Introduction, Even more: present technological progress approaches the point at which it will be possible to gain full control on single quanta, which would make marvellous predictions of two newly-born branches of quantum mechanics: quantum information and quantum computation [.] fully realizable. However, this