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RESEARCH PRODUCT
On Contextuality in Behavioral Data
Ru ZhangJanne V. KujalaEhtibar N. DzhafarovVíctor H. CervantesMatt Jonessubject
Computer scienceGeneral MathematicsFOS: Physical sciencesGeneral Physics and Astronomy01 natural sciences050105 experimental psychology0103 physical sciences0501 psychology and cognitive sciencescontextuality010306 general physicsta515Cognitive scienceQuantum Physics05 social sciencesta111General Engineeringcyclic systemsArticlesKochen–Specker theorem81P13 81Q99 60A99 81P13 81Q99 60A99 81P13 81Q99 60A99Formal designFOS: Biological sciencesQuantitative Biology - Neurons and Cognitionconsistent connectednessNeurons and Cognition (q-bio.NC)Quantum Physics (quant-ph)description
Dzhafarov, Zhang, and Kujala (Phil. Trans. Roy. Soc. A 374, 20150099) reviewed several behavioral data sets imitating the formal design of the quantum-mechanical contextuality experiments. The conclusion was that none of these data sets exhibited contextuality if understood in the generalized sense proposed in Dzhafarov, Kujala, and Larsson (Found. Phys. 7, 762-782, 2015), while the traditional definition of contextuality does not apply to these data because they violate the condition of consistent connectedness (also known as marginal selectivity, no-signaling condition, no-disturbance principle, etc.). In this paper we clarify the relationship between (in)consistent connectedness and (non)contextuality, as well as between the traditional and extended definitions of (non)contextuality, using as an example the Clauser-Horn-Shimony-Holt (CHSH) inequalities originally designed for detecting contextuality in entangled particles.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-12-01 |