Multi-valued quantum logic

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Abstract

The multiple valued logic of inexactness and approximation we proposed in the past as framework for scientific thought in general is in this paper considered as logic for quantum theory in particular. In this logic truth-values are viewed as degrees of error and a deduction is considered valid if the error in the conclusion can be minimized whenever the error in the premise is brought under control. Applications of this logic to quantum mechanics encompass notions from earlier (non-classical) formal-logical approaches (modal, intuitionistic and multi-valued) and enable rigorous formulations of ideas relating to uncertainty, to states of quantum mechanical systems and to the familiar Hubert space presentation of quantum physics.

Original languageEnglish
Title of host publication36th International Symposium on Multiple-Valued Logic, 2006. ISMVL 2006
Pages32
Number of pages1
DOIs
StatePublished - 2006
Event36th International Symposium on Multiple-Valued Logic, 2006. ISMVL 2006 - Singapore, Singapore
Duration: 17 May 200620 May 2006

Publication series

NameProceedings of The International Symposium on Multiple-Valued Logic
ISSN (Print)0195-623X

Conference

Conference36th International Symposium on Multiple-Valued Logic, 2006. ISMVL 2006
Country/TerritorySingapore
CitySingapore
Period17/05/0620/05/06

ASJC Scopus subject areas

  • General Computer Science
  • General Mathematics

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