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The relationship between strong belief and assumption

dc.contributor.authorBrandenburger, A.
dc.contributor.authorFriedenberg, A.
dc.contributor.authorKeisler, H.J.
dc.date.accessioned2024-08-09T00:15:54Z
dc.date.available2024-08-09T00:15:54Z
dc.date.issued2023-05-06
dc.identifier.citationBrandenburger, A., Friedenberg, A. & Keisler, H.J. The relationship between strong belief and assumption. Synthese 201, 175 (2023). https://doi.org/10.1007/s11229-023-04167-6
dc.identifier.issn0039-7857
dc.identifier.doi10.1007/s11229-023-04167-6
dc.identifier.urihttp://hdl.handle.net/10150/674039
dc.description.abstractWe define two maps, one map from the set of conditional probability systems (CPS’s) onto the set of lexicographic probability systems (LPS’s), and another map from the set of LPS’s with full support onto the set of CPS’s. We use these maps to establish a relationship between strong belief (defined on CPS’s) and assumption (defined on LPS’s). This establishes a relationship at the abstract level between these two widely used notions of belief in an extended probability-theoretic setting. © 2023, The Author(s).
dc.language.isoen
dc.publisherSpringer Science and Business Media B.V.
dc.rights© The Author(s) 2023. This article is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectAssumption
dc.subjectConditional probability systems
dc.subjectLexicographic probability systems
dc.subjectStrong belief
dc.titleThe relationship between strong belief and assumption
dc.typeArticle
dc.typetext
dc.contributor.departmentDepartment of Economics, University of Arizona
dc.identifier.journalSynthese
dc.description.noteOpen access article
dc.description.collectioninformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.
dc.eprint.versionFinal Published Version
dc.source.journaltitleSynthese
refterms.dateFOA2024-08-09T00:15:54Z


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© The Author(s) 2023. This article is licensed under a Creative Commons Attribution 4.0 International License.
Except where otherwise noted, this item's license is described as © The Author(s) 2023. This article is licensed under a Creative Commons Attribution 4.0 International License.