On Contextuality as a Feature of Logic and Probability Theory

• URL: http://arxiv.org/abs/2603.11857v1
• Date: Thu, 12 Mar 2026 12:25:43 GMT
• Title: On Contextuality as a Feature of Logic and Probability Theory
• Abstract summary: In quantum mechanics, not everything that can be observed can be observed simultaneously.<n>This article gives a mathematical introduction to contextuality, emphasising its nature as a general feature of probability theory and logic.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In quantum mechanics, not everything that can be observed can be observed simultaneously. Observational data exhibits \emph{contextuality} -- a generalisation of nonlocality -- if the result of an observation is necessarily dependent on which combination of observables was measured. This article gives a mathematical introduction to contextuality, emphasising its nature as a general feature of probability theory and logic, rather than of any particular quantum theory.

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