On contextuality in behavioural data
Abstract
Dzhafarov et al. (Dzhafarov et al. 2016 Phil. Trans. R. Soc. A 374, 20150099. ( doi:10.1098/rsta.2015.0099 )) reviewed several behavioural datasets imitating the formal design of the quantum-mechanical contextuality experiments. The conclusion was that none of these datasets exhibited contextuality if understood in the generalized sense proposed by Dzhafarov et al. (2015 Found. Phys. 7, 762–782. ( doi:10.1007/s10701-015-9882-9 )), 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-signalling 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 inequalities originally designed for detecting contextuality in entangled particles.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- May 28, 2016
- Source ID
- 10.1098/rsta.2015.0234
Entities
People
- Ehtibar N Dzhafarov
- Janne V. Kujala
- Matt Jones
- Ru Zhang
- Víctor H. Cervantes
Organizations
- Air Force Office of Scientific Research
- National Science Foundation
- Purdue University
- University of Colorado
- University of Jyväskylä