6533b83afe1ef96bd12a7a39

RESEARCH PRODUCT

A Qualified Kolmogorovian Account of Probabilistic Contextuality

Janne V. KujalaEhtibar N. Dzhafarov

subject

Relation (database)05 social sciencesProbabilistic logicLanguage of mathematicsContext (language use)16. Peace & justice01 natural sciences050105 experimental psychologyKochen–Specker theoremSet (abstract data type)Joint probability distribution0103 physical sciencesEconometrics0501 psychology and cognitive sciences010306 general physicsMathematical economicsQuantumMathematics

description

We describe a mathematical language for determining all possible patterns of contextuality in the dependence of stochastic outputs of a system on its deterministic inputs. The central principle contextuality-by-default is that the outputs indexed by mutually incompatible values of inputs are stochastically unrelated; but they can be coupled imposed a joint distribution on in a variety of ways. A system is characterized by a pattern of which outputs can be "directly influenced" by which inputs a primitive relation, hypothetical or normative, and by certain constraints imposed on the outputs such as Bell-type inequalities or their quantum analogues. The set of couplings compatible with these constraints determines the form of contextuality in the dependence of outputs on inputs.

yearjournalcountryeditionlanguage
2014-01-01
https://doi.org/10.1007/978-3-662-45912-6_18