{
  "annotation_id": "60a83c05-84ea-4de4-bea6-0013c4c68353",
  "date_created": "2026-03-02T18:01:46.025000Z",
  "date_modified": "2026-03-02T18:01:46.025000Z",
  "file_hash": "647786479f8a937414952b3d9a4e1c095ab9c4e74349a4d58d0d6dc0f8d1c3d2",
  "private": false,
  "record": {
    "abstract": "The representation of numbers by product states in quantum mechanics can be\nextended to the representation of words and word sequences in languages by\nproduct states. This can be used to study quantum systems that generate text\nthat has meaning. A simple example of such a system, based on an example\ndescribed by Smullyan, is studied here. Based on a path interpretation for some\nword states, definitions of truth, validity, consistency and completeness are\ngiven and their properties studied. It is also shown that the relation between\nthe meaning, if any, of word states and the algorithmic complexity of the\nprocess generating the states must be quite complex or nonexistent.",
    "arxiv_id": "quant-ph/0106153",
    "authors": [
      "Paul Benioff"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/35/28/305",
    "journal_ref": "J. Phys. A: Math. Gen. Vol 35, pp. 5843-5857, 2002.",
    "title": "Use of Mathematical Logical Concepts in Quantum Mechanics: An Example",
    "url": "https://arxiv.org/abs/quant-ph/0106153"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dbbda7ca-99ac-4806-8143-d5828876c421",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}