Quantum Physics, Fuzzy Sets and Logic

Quantum Physics, Fuzzy Sets and Logic: Steps Towards a Many-Valued Interpretation of Quantum Mechanics

by Pykacz, Jarosław

Type Book
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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 repres…

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Title Statements

  • Full title :Quantum Physics, Fuzzy Sets and Logic : Steps Towards a Many-Valued Interpretation of Quantum Mechanics / by Jarosław Pykacz.

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.

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Edition Statements

  • Publication Date:2015.

Publication Statements

The Physical Object

  • Description:1 online resource (VI, 70 p.) : : online resource

Edition Identifiers

  • ISBN:9783319193847, 3319193848
  • DOI:10.1007/978-3-319-19384-7
  • oclc:ocn942354075
  • LC Classification:QC173.96-174.52
  • Dewey Decimal:530.12

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