Gil Sanchez, Michał and Gyenis, Zalán and Wronski, Leszek (2022) Nonclassical probability, convex hulls, and Dutch Books. [Preprint]
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Text (This is the version of the paper as it was after being accepted by Episteme, that is, before the publisher's typesetting and proofreading.)
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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 | ||||||||||||
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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 |
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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 |
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Date: | 25 April 2022 | ||||||||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/20518 |
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