Wilhelm, Isaac (2016) The Representation of Belief. [Preprint]
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Abstract
I derive a novel sufficient condition for a belief set to be representable by a probability function: if at least one comparative confidence ordering of a certain type satisfies Scott's axiom, then the belief set used to construct that ordering is representable. This provides support for Kenny Easwaran's project of analyzing doxastic states in terms of belief sets rather than credences.
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Item Type: | Preprint | ||||||
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Keywords: | Formal epistemology, representation theorem, belief, credence, Scott's axiom. | ||||||
Subjects: | Specific Sciences > Mathematics Specific Sciences > Probability/Statistics |
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Depositing User: | Isaac Wilhelm | ||||||
Date Deposited: | 21 Sep 2016 11:59 | ||||||
Last Modified: | 21 Sep 2016 11:59 | ||||||
Item ID: | 12454 | ||||||
Subjects: | Specific Sciences > Mathematics Specific Sciences > Probability/Statistics |
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Date: | 21 September 2016 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/12454 |
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