{
  "annotation_id": "33928ac0-e7ae-4b0c-ae31-3a57b867f556",
  "date_created": "2026-03-02T18:01:21.910000Z",
  "date_modified": "2026-03-02T18:01:21.910000Z",
  "file_hash": "3603403aa2ac8b09f2d45b29faad20ab5a533e84f50838df1ff70c087f14b098",
  "private": false,
  "record": {
    "abstract": "The propositional logic is generalized on the real numbers field. The logical\nanalog of the Bernoulli independent tests scheme is constructed. The variant of\nthe nonstandard analysis is adopted for the definition of the logical function,\nwhich has all properties of the classical probability function. The logical\nanalog of the Large Number Law is deduced from properties of this function.",
    "arxiv_id": "physics/9808050",
    "authors": [
      "Gunn Quznetsov"
    ],
    "categories": [
      "physics.gen-ph"
    ],
    "title": "Logic, Truth and Probability",
    "url": "https://arxiv.org/abs/physics/9808050"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1da4977e-c854-42fc-9188-2fd9a0c9fa46",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}