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  1. Iterated AGM Revision Based on Probability Revision.Sven Ove Hansson - 2023 - Journal of Logic, Language and Information 32 (4):657-675.
    Close connections between probability theory and the theory of belief change emerge if the codomain of probability functions is extended from the real-valued interval [0, 1] to a hyperreal interval with the same limits. Full beliefs are identified as propositions with a probability at most infinitesimally smaller than 1. Full beliefs can then be given up, and changes in the set of full beliefs follow a pattern very close to that of AGM revision. In this contribution, iterated revision is investigated. (...)
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  • A Basis for AGM Revision in Bayesian Probability Revision.Sven Ove Hansson - 2023 - Journal of Philosophical Logic 52 (6):1535-1559.
    In standard Bayesian probability revision, the adoption of full beliefs (propositions with probability 1) is irreversible. Once an agent has full belief in a proposition, no subsequent revision can remove that belief. This is an unrealistic feature, and it also makes probability revision incompatible with belief change theory, which focuses on how the set of full beliefs is modified through both additions and retractions. This problem in probability theory can be solved in a model that (i) lets the codomain of (...)
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