The relationship between strong belief and assumption
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Department of Economics, University of ArizonaIssue Date
2023-05-06Metadata
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Springer Science and Business Media B.V.Citation
Brandenburger, A., Friedenberg, A. & Keisler, H.J. The relationship between strong belief and assumption. Synthese 201, 175 (2023). https://doi.org/10.1007/s11229-023-04167-6Journal
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© The Author(s) 2023. This article is licensed under a Creative Commons Attribution 4.0 International License.Collection Information
This 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.Abstract
We 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).Note
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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.