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arXiv:1511.03516 · Journal of Mathematical Psychology

Context–content systems of random variables: The Contextuality-by-Default theory

Ehtibar N. Dzhafarov, Janne V. Kujala

Published Jun 4, 2016• 79 citations
arXivHTMLPDF
DOI
10.1016/j.jmp.2016.04.010

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

Ehtibar N. Dzhafarov

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) they see no relationship between double-indexation and ontic states. This commentary shows that (re$\:$1) the contradiction is inserted in the presentation of CbD by the authors of the paper; (re$\:$2) in the case of consistently connected systems CbD properly specializes to traditional understanding of contextuality; and (re$\:$3) if ontic states are understood as quantum states, they are simply not within the language of CbD, and if they are understood as domain probability spaces for context-sharing random variables, they can be trivially reconstructed.

arXiv:1911.01750•Nov 5, 2019•0 citations
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) they see no relationship between double-indexation and ontic states. This commentary shows that (re$\:1)thecontradictionisinsertedinthepresentationofCbDbytheauthorsofthepaper;(re1) the contradiction is inserted in the presentation of CbD by the authors of the paper; (re1)thecontradictionisinsertedinthepresentationofCbDbytheauthorsofthepaper;(re\:2)inthecaseofconsistentlyconnectedsystemsCbDproperlyspecializestotraditionalunderstandingofcontextuality;and(re2) in the case of consistently connected systems CbD properly specializes to traditional understanding of contextuality; and (re2)inthecaseofconsistentlyconnectedsystemsCbDproperlyspecializestotraditionalunderstandingofcontextuality;and(re\:$3) if ontic states are understood as quantum states, they are simply not within the language of CbD, and if they are understood as domain probability spaces for context-sharing random variables, they can be trivially reconstructed.