On Contextuality in Behavioral Data

Abstract

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.

to be published in April 2016 in vol. 374 issue 2066 of Philosophical Transactions of the Royal Society A

References in corpus (4)

• Experimental non-classicality of an indivisible quantum system
• Is there contextuality in behavioral and social systems?
• Contextuality is About Identity of Random Variables
• Conversations on Contextuality

Cited by in corpus (13)

• Contextuality in Canonical Systems of Random Variables
• Bohm-Bell type experiments: Classical probability approach to (no-)signaling and applications to quantum physics and psychology
• Probabilistic Foundations of Contextuality
• Open systems, quantum probability and logic for quantum-like modeling in biology, cognition, and decision making
• Spin and Wind Directions II: A Bell State Quantum Model
• Spin and Wind Directions I: Identifying Entanglement in Nature and Cognition
• Contextuality Analysis of the Double Slit Experiment (With a Glimpse Into Three Slits)
• Coupling quantum-like cognition with the neuronal networks within generalized probability theory
• Relating Causal and Probabilistic Approaches to Contextuality
• Advanced Analysis of Quantum Contextuality in a Psychophysical Double-Detection Experiment
• A Model of Anaphoric Ambiguities using Sheaf Theoretic Quantum-like Contextuality and BERT
• Generalised Winograd Schema and its Contextuality
• On Universality of Classical Probability with Contextually Labeled Random Variables