{
  "id": "1911.01750",
  "version": "v1",
  "published": "2019-11-05T12:53:36.000Z",
  "updated": "2019-11-05T12:53:36.000Z",
  "title": "On contextuality and logic in scientific discourse: Reply to Aliakbarzadeh, Kitto, and Bruza",
  "authors": [
    "Ehtibar N. Dzhafarov"
  ],
  "categories": [
    "quant-ph",
    "math.PR"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-05T12:53:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81P13",
      "81Q99",
      "60A99"
    ],
    "keywords": [
      "scientific discourse",
      "random variables",
      "contextuality",
      "aliakbarzadeh",
      "consistently connected systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}