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Quantum physics, fuzzy sets and logi...

Pykacz, Jaroslaw.

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Quantum physics, fuzzy sets and logic = steps towards a many-valued interpretation of quantum mechanics /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Quantum physics, fuzzy sets and logic/ by Jaroslaw Pykacz.
Reminder of title:	steps towards a many-valued interpretation of quantum mechanics /
Author:	Pykacz, Jaroslaw.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	vi, 70 p. :ill., digital ;24 cm.
[NT 15003449]:	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 Lukasiewicz logic -- Perspectives -- The many-valued interpretation of quantum mechanics.
Contained By:	Springer eBooks
Subject:	Quantum theory - Mathematics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-19384-7
ISBN:	9783319193847 (electronic bk.)

Quantum physics, fuzzy sets and logic = steps towards a many-valued interpretation of quantum mechanics /
Pykacz, Jaroslaw.

Quantum physics, fuzzy sets and logicsteps towards a many-valued interpretation of quantum mechanics /[electronic resource] :by Jaroslaw Pykacz. - Cham :Springer International Publishing :2015. - vi, 70 p. :ill., digital ;24 cm. - SpringerBriefs in physics,2191-5423. - SpringerBriefs in physics..

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 Lukasiewicz 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 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.

ISBN: 9783319193847 (electronic bk.)

Standard No.: 10.1007/978-3-319-19384-7doiSubjects--Topical Terms:

705044
Quantum theory
--Mathematics.

LC Class. No.: QC174.17.M35

Dewey Class. No.: 530.120151

Quantum physics, fuzzy sets and logic = steps towards a many-valued interpretation of quantum mechanics /
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505 0 $a 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 Lukasiewicz logic -- Perspectives -- The many-valued interpretation of quantum mechanics.
520 $a 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.
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