{
  "annotation_id": "3fa9a845-99b8-456e-86a0-d72196b45507",
  "date_created": "2026-03-02T18:02:06.345000Z",
  "date_modified": "2026-03-02T18:02:06.345000Z",
  "file_hash": "d3b7b87e3a0ef170c4096cac55bc389be1378d45f81d3789b347bb56aa5c9927",
  "private": false,
  "record": {
    "abstract": "The formalism of abstracted quantum mechanics is applied in a model of the\ngeneralized Liar Paradox. Here, the Liar Paradox, a consistently testable\nconfiguration of logical truth properties, is considered a dynamic conceptual\nentity in the cognitive sphere. Basically, the intrinsic contextuality of the\ntruth-value of the Liar Paradox is appropriately covered by the abstracted\nquantum mechanical approach. The formal details of the model are explicited\nhere for the generalized case. We prove the possibility of constructing a\nquantum model of the m-sentence generalizations of the Liar Paradox. This\nincludes (i) the truth-falsehood state of the m-Liar Paradox can be represented\nby an embedded 2m-dimensional quantum vector in a (2m)^m dimensional complex\nHilbert space, with cognitive interactions corresponding to projections, (ii)\nthe construction of a continuous \u0027time\u0027 dynamics is possible: typical truth and\nfalsehood value oscillations are described by Schrodinger evolution, (iii)\nKirchoff and von Neumann axioms are satisfied by introduction of \u0027truth-value\nby inference\u0027 projectors, (iv) time invariance of unmeasured state.",
    "arxiv_id": "quant-ph/0404066",
    "authors": [
      "Diederik Aerts",
      "Jan Broekaert",
      "Bart D\u0027Hooghe"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1007/s10699-004-6248-8",
    "journal_ref": "Foundations of Science, 11, 399-418, 2006.",
    "title": "The Generalised Liar Paradox: A Quantum Model and Interpretation",
    "url": "https://arxiv.org/abs/quant-ph/0404066"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "aa3f681a-5040-4f4c-ac7a-9f8357ef5d20",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}