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On Contextuality as a Feature of Logic and Probability Theory
Ask Ellingsen·March 12, 2026
Quantum Physicsmath.LOmath.PR
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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.