Conditional Probability and Defeasible Inference

Journal of Philosophical Logic 34 (1):97 - 119 (2005)
Abstract
We offer a probabilistic model of rational consequence relations (Lehmann and Magidor, 1990) by appealing to the extension of the classical Ramsey-Adams test proposed by Vann McGee in (McGee, 1994). Previous and influential models of nonmonotonic consequence relations have been produced in terms of the dynamics of expectations (Gärdenfors and Makinson, 1994; Gärdenfors, 1993).'Expectation' is a term of art in these models, which should not be confused with the notion of expected utility. The expectations of an agent are some form of belief weaker than absolute certainty. Our model offers a modified and extended version of an account of qualitative belief in terms of conditional probability, first presented in (van Fraassen, 1995). We use this model to relate probabilistic and qualitative models of non-monotonic relations in terms of expectations. In doing so we propose a probabilistic model of the notion of expectation. We provide characterization results both for logically finite languages and for logically infinite, but countable, languages. The latter case shows the relevance of the axiom of countable additivity for our probability functions. We show that a rational logic defined over a logically infinite language can only be fully characterized in terms of finitely additive conditional probability
Keywords belief revision  conditional probability  conditionals  countable additivity  non-monotonic logic
Categories (categorize this paper)
DOI 10.1007/s10992-004-5553-6
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 28,126
Through your library
References found in this work BETA
Two Modellings for Theory Change.Adam Grove - 1988 - Journal of Philosophical Logic 17 (2):157-170.

View all 16 references / Add more references

Citations of this work BETA
Reducing Belief Simpliciter to Degrees of Belief.Hannes Leitgeb - 2013 - Annals of Pure and Applied Logic 164 (12):1338-1389.
Conditionals and Consequences.Gregory Wheeler, Henry E. Kyburg & Choh Man Teng - 2007 - Journal of Applied Logic 5 (4):638-650.

Add more citations

Similar books and articles
Probability and Conditionals.Robert C. Stalnaker - 1970 - Philosophy of Science 37 (1):64-80.
Iterative Probability Kinematics.Horacio Arló-Costa & Richmond H. Thomason - 2001 - Journal of Philosophical Logic 30 (5):479-524.
Uncertain Deductive Reasoning.Niki Pfeifer & G. D. Kleiter - 2011 - In K. Manktelow, D. E. Over & S. Elqayam (eds.), The Science of Reason: A Festschrift for Jonathan St B.T. Evans. Psychology Press. pp. 145--166.
Adams Conditionals and Non-Monotonic Probabilities.Richard Bradley - 2006 - Journal of Logic, Language and Information 15 (1-2):65-81.

Monthly downloads

Added to index

2009-01-28

Total downloads

75 ( #70,237 of 2,171,816 )

Recent downloads (6 months)

1 ( #326,702 of 2,171,816 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums