{
  "annotation_id": "3fe62f95-fa2b-46f2-afb5-c1a57a861556",
  "date_created": "2026-03-02T18:02:07.106000Z",
  "date_modified": "2026-03-02T18:02:07.106000Z",
  "file_hash": "b1080d3245370084ac854fffe604a471d97cef367f0742931df5725de37439cb",
  "private": false,
  "record": {
    "abstract": "We propose a theory for modeling concepts that uses the\nstate-context-property theory (SCOP), a generalization of the quantum\nformalism, whose basic notions are states, contexts and properties. This theory\nenables us to incorporate context into the mathematical structure used to\ndescribe a concept, and thereby model how context influences the typicality of\na single exemplar and the applicability of a single property of a concept. We\nintroduce the notion `state of a concept\u0027 to account for this contextual\ninfluence, and show that the structure of the set of contexts and of the set of\nproperties of a concept is a complete orthocomplemented lattice. The structural\nstudy in this article is a preparation for a numerical mathematical theory of\nconcepts in the Hilbert space of quantum mechanics that allows the description\nof the combination of concepts (see quant-ph/0402205)",
    "arxiv_id": "quant-ph/0402207",
    "authors": [
      "Diederik Aerts",
      "Liane Gabora"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1108/03684920510575799",
    "journal_ref": "Kybernetes, 34, pp. 167-191, 2005.",
    "title": "A Theory of Concepts and Their Combinations I: The Structure of the Sets   of Contexts and Properties",
    "url": "https://arxiv.org/abs/quant-ph/0402207"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b6e453b6-5ec5-4e26-8b5d-a08f4062d3a5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}