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Foundations of Physics Letters

, Volume 17, Issue 5, pp 403–432 | Cite as

On Quantum Event Structures. Part III: Object of Truth Values

  • Elias Zafiris
Article
  • 36 Downloads

Abstract

In this work we expand the foundational perspective of category theory on quantum event structures by showing the existence of an object of truth values in the category of quantum event algebras, characterized as subobject classifier. This object plays the corresponking role that the two-valued Boolean truth values object plays in a classical event structure. We construct the object of quantum truth values explicitly and argue that it constitutes the appropriate choice for the valuation of propositions describing the behavior of quantum systems.

Boolean localizations topos adjunction quantum logic subobject classifier quantum truth values 

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Copyright information

© Plenum Publishing Corporation 2004

Authors and Affiliations

  • Elias Zafiris
    • 1
    • 2
  1. 1.University of Sofia, Faculty of Mathematics and InformaticsSofiaBulgaria
  2. 2.University of Athens, Institute of Mathematics, PanepistimiopolisAthensGreece

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