dorsal/arxiv
View SchemaProbabilities are single-case, or nothing
| Authors | D. M. Appleby |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0408058 |
| URL | https://arxiv.org/abs/quant-ph/0408058 |
| DOI | 10.1134/1.2055942 |
| Journal | Optics and Spectroscopy, 99, 447 (2005) |
Abstract
Physicists have, hitherto, mostly adopted a frequentist conception of probability, according to which probability statements apply only to ensembles. It is argued that we should, instead, adopt an epistemic, or Bayesian conception, in which probabilities are conceived as logical constructs rather than physical realities, and in which probability statements do apply directly to individual events. The question is closely related to the disagreement between the orthodox school of statistical thought and the Bayesian school. It has important technical implications (it makes a difference, what statistical methodology one adopts). It may also have important implications for the interpretation of the quantum state.
{
"annotation_id": "c63416d3-cda9-4c73-8878-7e91260a93da",
"date_created": "2026-03-02T18:02:10.296000Z",
"date_modified": "2026-03-02T18:02:10.296000Z",
"file_hash": "774269f526114660a9ae4f9c62070d2b08ea926dafec7ef9f66b846047103bd5",
"private": false,
"record": {
"abstract": "Physicists have, hitherto, mostly adopted a frequentist conception of\nprobability, according to which probability statements apply only to ensembles.\nIt is argued that we should, instead, adopt an epistemic, or Bayesian\nconception, in which probabilities are conceived as logical constructs rather\nthan physical realities, and in which probability statements do apply directly\nto individual events. The question is closely related to the disagreement\nbetween the orthodox school of statistical thought and the Bayesian school. It\nhas important technical implications (it makes a difference, what statistical\nmethodology one adopts). It may also have important implications for the\ninterpretation of the quantum state.",
"arxiv_id": "quant-ph/0408058",
"authors": [
"D. M. Appleby"
],
"categories": [
"quant-ph"
],
"doi": "10.1134/1.2055942",
"journal_ref": "Optics and Spectroscopy, 99, 447 (2005)",
"title": "Probabilities are single-case, or nothing",
"url": "https://arxiv.org/abs/quant-ph/0408058"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "a580060b-a426-4f38-80ff-00ca8b4abbd9",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}