Quantum Physics, Fuzzy Sets and Logic: Steps Towards a Many-Valued Interpretation of Quantum Mechanics
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 p...
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2016
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oai:scholar.dlu.edu.vn:DLU123456789-598222023-11-11T06:52:59Z Quantum Physics, Fuzzy Sets and Logic: Steps Towards a Many-Valued Interpretation of Quantum Mechanics Pykacz, Jarosław Fuzzy sets Many-valued logic Mathematics Quantum theory 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. 2016-03-15T01:51:31Z 2016-03-15T01:51:31Z 2015 Book 978-3-319-19384-7 978-3-319-19383-0 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59822 en application/pdf Springer |
institution |
Thư viện Trường Đại học Đà Lạt |
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Thư viện số |
language |
English |
topic |
Fuzzy sets Many-valued logic Mathematics Quantum theory |
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Fuzzy sets Many-valued logic Mathematics Quantum theory Pykacz, Jarosław Quantum Physics, Fuzzy Sets and Logic: Steps Towards a Many-Valued Interpretation of Quantum Mechanics |
description |
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. |
format |
Book |
author |
Pykacz, Jarosław |
author_facet |
Pykacz, Jarosław |
author_sort |
Pykacz, Jarosław |
title |
Quantum Physics, Fuzzy Sets and Logic:
Steps Towards a Many-Valued Interpretation of Quantum Mechanics |
title_short |
Quantum Physics, Fuzzy Sets and Logic:
Steps Towards a Many-Valued Interpretation of Quantum Mechanics |
title_full |
Quantum Physics, Fuzzy Sets and Logic:
Steps Towards a Many-Valued Interpretation of Quantum Mechanics |
title_fullStr |
Quantum Physics, Fuzzy Sets and Logic:
Steps Towards a Many-Valued Interpretation of Quantum Mechanics |
title_full_unstemmed |
Quantum Physics, Fuzzy Sets and Logic:
Steps Towards a Many-Valued Interpretation of Quantum Mechanics |
title_sort |
quantum physics, fuzzy sets and logic:
steps towards a many-valued interpretation of quantum mechanics |
publisher |
Springer |
publishDate |
2016 |
url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59822 |
_version_ |
1819795459285188608 |