dorsal/arxiv
View SchemaThe Laplace-Jaynes approach to induction
| Authors | P. G. L. Porta Mana, A. Månsson, G. Björk |
|---|---|
| Categories | |
| ArXiv ID | physics/0703126 |
| URL | https://arxiv.org/abs/physics/0703126 |
Abstract
An approach to induction is presented, based on the idea of analysing the context of a given problem into `circumstances'. This approach, fully Bayesian in form and meaning, provides a complement or in some cases an alternative to that based on de Finetti's representation theorem and on the notion of infinite exchangeability. In particular, it gives an alternative interpretation of those formulae that apparently involve `unknown probabilities' or `propensities'. Various advantages and applications of the presented approach are discussed, especially in comparison to that based on exchangeability. Generalisations are also discussed.
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"abstract": "An approach to induction is presented, based on the idea of analysing the\ncontext of a given problem into `circumstances\u0027. This approach, fully Bayesian\nin form and meaning, provides a complement or in some cases an alternative to\nthat based on de Finetti\u0027s representation theorem and on the notion of infinite\nexchangeability. In particular, it gives an alternative interpretation of those\nformulae that apparently involve `unknown probabilities\u0027 or `propensities\u0027.\nVarious advantages and applications of the presented approach are discussed,\nespecially in comparison to that based on exchangeability. Generalisations are\nalso discussed.",
"arxiv_id": "physics/0703126",
"authors": [
"P. G. L. Porta Mana",
"A. M\u00e5nsson",
"G. Bj\u00f6rk"
],
"categories": [
"physics.data-an",
"cs.AI",
"quant-ph"
],
"title": "The Laplace-Jaynes approach to induction",
"url": "https://arxiv.org/abs/physics/0703126"
},
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