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arXiv · 1304.4546

A Qualified Kolmogorovian Account of Probabilistic Contextuality

Ehtibar N. Dzhafarov·Janne V. Kujala
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Abstract

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 notion is that of all possible couplings for stochastically unrelated outputs indexed by mutually incompatible values of inputs. 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 represents a form of contextuality in the dependence of outputs on inputs with respect to the declared pattern of direct influences.

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Ehtibar N. Dzhafarov, Janne V. Kujala. 2013-04-16. A Qualified Kolmogorovian Account of Probabilistic Contextuality. https://arxiv.org/abs/1304.4546

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