The quantum pigeonhole principle as a violation of the principle of bivalence

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Abstract

In the paper, it is argued that the phenomenon known as the quantum pigeonhole principle (namely, three quantum particles are put in two boxes, yet no two particles are in the same box) can be explained not as a violation of Dirichlet’s box principle in the case of quantum particles but as a nonvalidness of a bivalent logic for describing not-yet verified propositions relating to quantum mechanical experiments.

Original languageEnglish
Pages (from-to)55-60
Number of pages6
JournalQuantum Studies: Mathematics and Foundations
Volume6
Issue number1
DOIs
StatePublished - 5 Mar 2019

Keywords

  • Bivalence
  • Many-valued logics
  • Pigeonhole principle
  • Quantum mechanics
  • Truth-values

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