Belief Revision, Non-Monotonic Reasoning, and the Ramsey Test

In Kyburg Henry E. , Loui Ronald P. & Carlson Greg N. (eds.), Knowledge Representation and Defeasible Reasoning. Kluwer Academic Publishers. pp. 223--244 (1990)
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Abstract

Peter Gärdenfors has proved (Philosophical Review, 1986) that the Ramsey rule and the methodologically conservative Preservation principle are incompatible given innocuous-looking background assumptions about belief revision. Gärdenfors gives up the Ramsey rule; I argue for preserving the Ramsey rule and interpret Gärdenfors's theorem as showing that no rational belief-reviser can avoid reasoning nonmonotonically. I argue against the Preservation principle and show that counterexamples to it always involve nonmonotonic reasoning. I then construct a new formal model of belief revision that does accommodate nonmonotonic reasoning.

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Charles B. Cross
University of Georgia

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Probability, coherent belief and coherent belief changes.John Cantwell & Hans Rott - 2019 - Annals of Mathematics and Artificial Intelligence 87 (3):259-291.

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