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The Representation of Belief

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
Creators:
CreatorsEmailORCID
Wilhelm, Isaacisaac.wilhelm@rutgers.edu
Keywords: Formal epistemology, representation theorem, belief, credence, Scott's axiom.
Subjects: Specific Sciences > Mathematics
Specific Sciences > Probability/Statistics
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
Date: 21 September 2016
URI: http://philsci-archive.pitt.edu/id/eprint/12454

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