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Keywords:

  • Contextuality;
  • Kochen-Specker;
  • modality;
  • orthomodular lattice

Abstract

We develop an algebraic frame for the simultaneous treatment of actual and possible properties of quantum systems. We show that, in spite of the fact that the language is enriched with the addition of a modal operator to the orthomodular structure, contextuality remains a central feature of quantum systems.