{
  "annotation_id": "5f798cac-0b98-4fd3-a0ba-0a3d9464625c",
  "date_created": "2026-03-02T18:02:38.017000Z",
  "date_modified": "2026-03-02T18:02:38.017000Z",
  "file_hash": "e1a12d1c54d6d4cee24a0c6db38fcba8ff2f679808e6a9e8f4245c608dea52f0",
  "private": false,
  "record": {
    "abstract": "A classical logic exhibits a threefold inner structure comprising an algebra\nof propositions `A\u0027, a space of ``truth values\u0027\u0027 `V\u0027, and a distinguished\nfamily of mappings `phi\u0027 from propositions to truth values. Classically A is a\nBoolean algebra, V=Z_2, and the admissible maps phi:A--\u003eZ_2 are {\\it\nhomomorphisms}. If one admits a larger set of maps, one obtains an\nanhomomorphic logic that seems better suited to quantal reality (and the needs\nof quantum gravity). I explain these ideas and illustrate them with three\nsimple examples.",
    "arxiv_id": "quant-ph/0703276",
    "authors": [
      "Rafael D. Sorkin"
    ],
    "categories": [
      "quant-ph",
      "gr-qc",
      "hep-th"
    ],
    "doi": "10.1088/1742-6596/67/1/012018",
    "journal_ref": "J.Phys.Conf.Ser.67:012018,2007",
    "title": "An exercise in \"anhomomorphic logic\"",
    "url": "https://arxiv.org/abs/quant-ph/0703276"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b2dae9a1-b772-4898-b0b5-58c328618c0a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}