{
  "annotation_id": "0c4d5bb0-b1dc-4f54-9411-b535a525e25e",
  "date_created": "2026-03-02T18:01:14.462000Z",
  "date_modified": "2026-03-02T18:01:14.462000Z",
  "file_hash": "c5a0590a4a43a9cc09837bcf07f89f05d1142cc487ea2ab7259f50934856a1c4",
  "private": false,
  "record": {
    "abstract": "We introduce some early considerations of physical and mathematical\nimpossibility as preludes to the Goedel incompleteness theorems. We consider\nsome informal aspects of these theorems and their underlying assumptions and\ndiscuss some the responses to these theorems by those seeking to draw\nconclusions from them about the completability of theories of physics. We argue\nthat there is no reason to expect Goedel incompleteness to handicap the search\nfor a description of the laws of Nature, but we do expect it to limit what we\ncan predict about the outcomes of those laws, and examples are given. We\ndiscuss the Goedel universe and the role it played in exposing the full\nspectrum of possibilities that a global understanding of space-time would\nreveal. Finally,we show how recent studies of supertasks have shown how global\nspace-time structure determines the ultimate capability of computational\ndevices within them.",
    "arxiv_id": "physics/0612253",
    "authors": [
      "John D. Barrow"
    ],
    "categories": [
      "physics.hist-ph",
      "astro-ph",
      "gr-qc",
      "physics.pop-ph"
    ],
    "journal_ref": "Published in \u0027Kurt G\\\"odel and the Foundations of Mathematics:\n  Horizons of Truth\u0027, eds. M. Baez, C. Papadimitriou, H. Putnam, D. Scott and\n  C. Harper, chap 11, pp 255-276, Cambridge UP, (2011)",
    "title": "Goedel and Physics",
    "url": "https://arxiv.org/abs/physics/0612253"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9d1285eb-1aeb-4b1e-9e82-dcf1da01b97e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}