{
  "id": "1409.0755",
  "version": "v2",
  "published": "2014-09-02T15:27:10.000Z",
  "updated": "2014-09-04T10:55:56.000Z",
  "title": "The logic of the future in the Everett-Wheeler understanding of quantum theory",
  "authors": [
    "Anthony Sudbery"
  ],
  "comment": "20 pages; talk given at the Arthur Prior Centenary Conference, Oxford, 22 August 2014",
  "categories": [
    "quant-ph"
  ],
  "abstract": "I discuss the problems of probability and the future in the Everett-Wheeler understanding of quantum theory. To resolve these, I propose an understanding of probability arising from a form of temporal logic: the probability of a future-tense proposition is identified with its truth value in a many-valued and context-dependent logic. I construct a lattice of tensed propositions, with truth values in the interval $[0,1]$, and derive logical properties of the truth values given by the usual quantum-mechanical formula for the probability of histories.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-02T15:27:10.000Z",
      "comment": "19 pages; talk given at the Arthur Prior Centenary Conference, Oxford, 22 September 2014",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-09-04T10:55:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum theory",
      "everett-wheeler understanding",
      "truth value",
      "probability",
      "future-tense proposition"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.0755S"
    }
  }
}