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

Pykacz, Jarosław, author.
2015
QC174.17.M35 P94 2015eb
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Title
Quantum physics, fuzzy sets and logic : steps towards a many-valued interpretation of quantum mechanics / Jarosław Pykacz.
Author
Pykacz, Jarosław, author.
ISBN
9783319193847 (electronic book)
3319193848 (electronic book)
9783319193830
DOI
https://doi.org/10.1007/978-3-319-19384-7
Published
Cham : Springer, 2015.
Copyright
©2015
Language
English
Description
1 online resource (vi, 70 pages).
Item Number
10.1007/978-3-319-19384-7 doi
Call Number
QC174.17.M35 P94 2015eb
Dewey Decimal Classification
530.1201/51
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed June 24, 2015).
Series
SpringerBriefs in physics.
Available in Other Form
Print version: 9783319193830
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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 Łukasiewicz logic
Perspectives
The many-valued interpretation of quantum mechanics.

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