• Corpus ID: 207779871

On contextuality and logic in scientific discourse: Reply to Aliakbarzadeh, Kitto, and Bruza

  title={On contextuality and logic in scientific discourse: Reply to Aliakbarzadeh, Kitto, and Bruza},
  author={Ehtibar N. Dzhafarov},
  journal={arXiv: Quantum Physics},
  • E. Dzhafarov
  • Published 5 November 2019
  • Philosophy
  • arXiv: Quantum Physics
Aliakbarzadeh, Kitto, and Bruza (arXiv:1909.13048v1) criticize the Contextuality-by-Default (CbD) theory in three ways: (1) they claim an internal contradiction within the theory, that consists in both denying and accepting the equality of stochastically unrelated random variables; (2) they find CbD deficient because when one confines one's attention to consistently connected systems (those with no disturbance/signaling) one can dispense with the double-indexation of random variables; and (3… 


On joint distributions, counterfactual values and hidden variables in understanding contextuality
  • E. Dzhafarov
  • Philosophy
    Philosophical Transactions of the Royal Society A
  • 2019
It is shown that if C1 is formulated within the framework of the Contextuality-by-Default (CbD) theory, the notion of a probabilistic coupling, the core mathematical tool of CbD, subsumes both counterfactual values and ‘hidden variables’.
Is there contextuality in behavioural and social systems?
  • E. Dzhafarov, Ru Zhang, J. Kujala
  • Psychology
    Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2016
The working hypothesis is that this may be a broadly applicable rule: behavioural and social systems are non-contextual, i.e. all ‘contextual effects’ in them result from the ubiquitous dependence of response distributions on the elements of contexts other than the ones to which the response is presumably or normatively directed.
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Measures of contextuality and non-contextuality
We discuss three measures of the degree of contextuality in contextual systems of dichotomous random variables. These measures are developed within the framework of the Contextuality-by-Default (CbD)
Contextuality is about identity of random variables
Contextual situations are those in which seemingly 'the same' random variable changes its identity depending on the conditions under which it is recorded. Such a change of identity is observed
Necessary and Sufficient Conditions for an Extended Noncontextuality in a Broad Class of Quantum Mechanical Systems.
This work derives necessary and sufficient conditions for the existence of a maximally noncontextual description in a broad class of systems including Klyachko-Can-Binicioğlu-Shumvosky-type (KCBS), EPR-Bell-type, and Leggett-Garg-type systems.
Contextuality in Three Types of Quantum-Mechanical Systems
A formal theory of contextuality for a set of random variables grouped into different subsets (contexts) corresponding to different, mutually incompatible conditions, based on the analysis of the extent to which some of these random variables can be viewed as preserving their identity across different contexts.
Proof of a Conjecture on Contextuality in Cyclic Systems with Binary Variables
We present a proof for a conjecture previously formulated by Dzhafarov et al. (Found Phys 7:762–782, 2015). The conjecture specifies a measure for the degree of contextuality and a criterion