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O is not enough
Review of Symbolic Logic 2 (2):298-309 (2009)
Abstract
We examine the closure conditions of the probabilistic consequence relation of Hawthorne and Makinson, specifically the outstanding question of completeness in terms of Horn rules, of their proposed (finite) set of rules O. We show that on the contrary no such finite set of Horn rules exists, though we are able to specify an infinite set which is completeAuthor's Profile
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Citations of this work
Propositional Reasoning that Tracks Probabilistic Reasoning.Hanti Lin & Kevin Kelly - 2012 - Journal of Philosophical Logic 41 (6):957-981.
Probabilistic Logics and Probabilistic Networks.Rolf Haenni, Jan-Willem Romeijn, Gregory Wheeler & Jon Williamson - 2010 - Dordrecht, Netherland: Synthese Library. Edited by Gregory Wheeler, Rolf Haenni, Jan-Willem Romeijn & and Jon Williamson.
A Probabilistic Semantics for Counterfactuals. Part A.Hannes Leitgeb - 2012 - Review of Symbolic Logic 5 (1):26-84.
Foundations of Everyday Practical Reasoning.Hanti Lin - 2013 - Journal of Philosophical Logic 42 (6):831-862.
Conditional Probability in the Light of Qualitative Belief Change.David C. Makinson - 2011 - Journal of Philosophical Logic 40 (2):121 - 153.
References found in this work
Nonmonotonic reasoning, preferential models and cumulative logics.Sarit Kraus, Daniel Lehmann & Menachem Magidor - 1990 - Artificial Intelligence 44 (1-2):167-207.
What does a conditional knowledge base entail?Daniel Lehmann & Menachem Magidor - 1992 - Artificial Intelligence 55 (1):1-60.
The Quantitative/Qualitative Watershed for Rules of Uncertain Inference.James Hawthorne & David Makinson - 2007 - Studia Logica 86 (2):247-297.
On the logic of nonmonotonic conditionals and conditional probabilities.James Hawthorne - 1996 - Journal of Philosophical Logic 25 (2):185-218.
Nonmonotonic Conditionals that Behave Like Conditional Probabilities Above a Threshold.James Hawthorne - 2007 - Journal of Applied Logic 5 (4):625-637.
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