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Context–content systems of random variables : The Contextuality-by-Default theory

2016

Abstract This paper provides a systematic yet accessible presentation of the Contextuality-by-Default theory. The consideration is confined to finite systems of categorical random variables, which allows us to focus on the basics of the theory without using full-scale measure-theoretic language. Contextuality-by-Default is a theory of random variables identified by their contents and their contexts, so that two variables have a joint distribution if and only if they share a context. Intuitively, the content of a random variable is the entity the random variable measures or responds to, while the context is formed by the conditions under which these measurements or responses are obtained. A …

ta113Theoretical computer scienceComputer scienceApplied Mathematicscouplings05 social sciencesta111Probabilistic logicContext (language use)01 natural sciencesMeasure (mathematics)050105 experimental psychologyconnectednessKochen–Specker theoremrandom variablesJoint probability distribution0103 physical sciences0501 psychology and cognitive sciencescontextualityNegative number010306 general physicsCategorical variableRandom variableGeneral PsychologyJournal of Mathematical Psychology
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