{
  "annotation_id": "90081de7-fadf-46ed-8b8c-2f5bec375a69",
  "date_created": "2026-03-02T18:01:45.979000Z",
  "date_modified": "2026-03-02T18:01:45.979000Z",
  "file_hash": "916c2607089e329106a8bce1e7dd980a9e4b619e366c759bec78984b3abc1c00",
  "private": false,
  "record": {
    "abstract": "In this article we propose an approach that models the truth behavior of\ncognitive entities (i.e. sets of connected propositions) by taking into account\nin a very explicit way the possible influence of the cognitive person (the one\nthat interacts with the considered cognitive entity). Hereby we specifically\napply the mathematical formalism of quantum mechanics because of the fact that\nthis formalism allows the description of real contextual influences, i.e. the\ninfluence of the measuring apparatus on the physical entity. We concentrated on\nthe typical situation of the liar paradox and have shown that (1) the\ntruth-false state of this liar paradox can be represented by a quantum vector\nof the non-product type in a finite dimensional complex Hilbert space and the\ndifferent cognitive interactions by the actions of the corresponding quantum\nprojections, (2) the typical oscillations between false and truth - the paradox\n-is now quantum dynamically described by a Schrodinger equation. We analyse\npossible philosophical implications of this result.",
    "arxiv_id": "quant-ph/0106131",
    "authors": [
      "Diederik Aerts",
      "Jan Broekaert",
      "Sonja Smets"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "International Journal of Theoretical Physics, 38, 3231-3239, 1999",
    "title": "A Quantum Structure Description of the Liar Paradox",
    "url": "https://arxiv.org/abs/quant-ph/0106131"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e8988541-93b9-4b38-8689-ba4aa646c206",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}