dorsal/arxiv
View Schema`Plausibilities of plausibilities': an approach through circumstances
| Authors | P. G. L. Porta Mana, A. Månsson, G. Björk |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607111 |
| URL | https://arxiv.org/abs/quant-ph/0607111 |
Abstract
Probability-like parameters appearing in some statistical models, and their prior distributions, are reinterpreted through the notion of `circumstance', a term which stands for any piece of knowledge that is useful in assigning a probability and that satisfies some additional logical properties. The idea, which can be traced to Laplace and Jaynes, is that the usual inferential reasonings about the probability-like parameters of a statistical model can be conceived as reasonings about equivalence classes of `circumstances' - viz., real or hypothetical pieces of knowledge, like e.g. physical hypotheses, that are useful in assigning a probability and satisfy some additional logical properties - that are uniquely indexed by the probability distributions they lead to.
{
"annotation_id": "deef7175-8463-46dc-a719-56f80c82c089",
"date_created": "2026-03-02T18:02:27.712000Z",
"date_modified": "2026-03-02T18:02:27.712000Z",
"file_hash": "368774a07bcf64f65ad9a7323d833227056f1f6733739f6ab2cdda3ca1abc03d",
"private": false,
"record": {
"abstract": "Probability-like parameters appearing in some statistical models, and their\nprior distributions, are reinterpreted through the notion of `circumstance\u0027, a\nterm which stands for any piece of knowledge that is useful in assigning a\nprobability and that satisfies some additional logical properties. The idea,\nwhich can be traced to Laplace and Jaynes, is that the usual inferential\nreasonings about the probability-like parameters of a statistical model can be\nconceived as reasonings about equivalence classes of `circumstances\u0027 - viz.,\nreal or hypothetical pieces of knowledge, like e.g. physical hypotheses, that\nare useful in assigning a probability and satisfy some additional logical\nproperties - that are uniquely indexed by the probability distributions they\nlead to.",
"arxiv_id": "quant-ph/0607111",
"authors": [
"P. G. L. Porta Mana",
"A. M\u00e5nsson",
"G. Bj\u00f6rk"
],
"categories": [
"quant-ph",
"cs.AI"
],
"title": "`Plausibilities of plausibilities\u0027: an approach through circumstances",
"url": "https://arxiv.org/abs/quant-ph/0607111"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "3396c991-e433-4ad9-b071-854ae4b499ab",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}