Having a look at the Bayes Blind Spot.
The Bayes Blind Spot of a Bayesian Agent is, by definition, the set of probability measures on a Boolean σ -algebra that are absolutely continuous with respect to the background probability measure (prior) of a Bayesian Agent on the algebra and which the Bayesian Agent cannot learn by a single condi...
| Publicado en: | Synthese Vol. 198; no. 4; pp. 3801 - 3833 |
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| Autores principales: | , |
| Formato: | Artículo |
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Springer Nature
Apr2021
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=149905594&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 149905594 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00397857 4LI jtl: Synthese issn: 00397857 maglogo: N pubinfo: dt: Apr2021 vid: 198 iid: 4 pid: 237 pub: Springer Nature artinfo: ui: 149905594 10.1007/s11229-019-02311-9 ppf: 3801 ppct: 32 formats: fmt: @attributes: type: P size: 580KB tig: atl: Having a look at the Bayes Blind Spot. aug: au: Rédei, Miklós Gyenis, Zalán affil: Department of Philosophy, Logic and Scientific Method, London School of Economics and Political Science, Houghton Street, WC2A 2AE, London, UK Department of Logic, Institute of Philosophy, Jagiellonian University, Cracow, Poland Department of Logic, Eötvös Loránd University, Budapest, Hungary su: Probability measures Algebra Probability theory Topology Boolean algebra sug: subj: Probability measures Algebra Probability theory Topology Boolean algebra keyword: Bayesianism Conditionalization ab: The Bayes Blind Spot of a Bayesian Agent is, by definition, the set of probability measures on a Boolean σ -algebra that are absolutely continuous with respect to the background probability measure (prior) of a Bayesian Agent on the algebra and which the Bayesian Agent cannot learn by a single conditionalization no matter what (possibly uncertain) evidence he has about the elements in the Boolean σ -algebra. It is shown that if the Boolean algebra is finite, then the Bayes Blind Spot is a very large set: it has the same cardinality as the set of all probability measures (continuum); it has the same measure as the measure of the set of all probability measures (in the natural measure on the set of all probability measures); and is a "fat" (second Baire category) set in topological sense in the set of all probability measures taken with its natural topology. Features of the Bayes Blind Spot are determined from the perspective of repeated Bayesian learning when the Boolean algebra is finite. Open problems about the Bayes Blind Spot are formulated in probability spaces with infinite Boolean σ -algebras. The results are discussed from the perspective of Bayesianism. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Synthese is a copyright of Springer, 2021. All Rights Reserved. item: Synthese holder: Springer Nature dt: @attributes: year: 2021 holdings: @attributes: islocal: N |
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