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Nonclassical probability, convex hulls, and Dutch Books

Gil Sanchez, Michał and Gyenis, Zalán and Wronski, Leszek (2022) Nonclassical probability, convex hulls, and Dutch Books. [Preprint]

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Abstract

We report a solution to an open problem regarding the axiomatization of the convex hull of a type of nonclassical evaluations. We then investigate the meaning of this result for the larger context of the relation between rational credence functions and nonclassical probability. We claim that the notions of bets and Dutch Books typically employed in formal epistemology are of doubtful use outside the realm of classical logic, eventually proposing two novel ways of understanding Dutch Books in nonclassical settings.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Gil Sanchez, Michałmichal.gil_sanchez@doctoral.uj.edu.pl
Gyenis, Zalángyz@renyi.hu
Wronski, Leszekleszek.wronski@uj.edu.pl0000-0002-7152-4544
Additional Information: Accepted in Episteme.
Keywords: formal epistemology, Dutch Books, nonclassical probability, convex hulls, credence, rationality
Subjects: Specific Sciences > Mathematics > Epistemology
General Issues > Decision Theory
Specific Sciences > Probability/Statistics
Depositing User: Leszek Wronski
Date Deposited: 26 Apr 2022 15:15
Last Modified: 26 Apr 2022 15:15
Item ID: 20518
Subjects: Specific Sciences > Mathematics > Epistemology
General Issues > Decision Theory
Specific Sciences > Probability/Statistics
Date: 25 April 2022
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/20518

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