Scopes and Limits of Modality in Quantum Mechanics

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.

9 pages, no figures

References in corpus (1)

• Contextual logic for quantum systems

Cited by in corpus (4)

• The Logos Categorical Approach to Quantum Mechanics: I. Kochen-Specker Contextuality and Global Intensive Valuations
• Modal-type orthomodular logic
• Many worlds and modality in the interpretation of quantum mechanics: an algebraic approach
• A Topological Study of Contextuality and Modality in Quantum Mechanics