Nonmonotonic Conditionals that Behave Like Conditional Probabilities Above a Threshold

Journal of Applied Logic 5 (4):625-637 (2007)
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Abstract

I’ll describe a range of systems for nonmonotonic conditionals that behave like conditional probabilities above a threshold. The rules that govern each system are probabilistically sound in that each rule holds when the conditionals are interpreted as conditional probabilities above a threshold level specific to that system. The well-known preferential and rational consequence relations turn out to be special cases in which the threshold level is 1. I’ll describe systems that employ weaker rules appropriate to thresholds lower than 1, and compare them to these two standard systems.

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James Hawthorne
University of Oklahoma

Citations of this work

The Logic of Epistemic Justification.Martin Smith - 2018 - Synthese 195 (9):3857-3875.
A Probabilistic Semantics for Counterfactuals. Part B.Hannes Leitgeb - 2012 - Review of Symbolic Logic 5 (1):85-121.
The Lockean Thesis and the Logic of Belief.James Hawthorne - 2009 - In Franz Huber & Christoph Schmidt-Petri (eds.), Degrees of Belief. Synthese Library: Springer. pp. 49--74.
Preferential Accessibility and Preferred Worlds.Katarina Britz & Ivan Varzinczak - 2018 - Journal of Logic, Language and Information 27 (2):133-155.

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