David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Synthese 146 (1-2):153 - 169 (2005)
We present new probabilistic generalizations of Pearl’s entailment in System Z and Lehmann’s lexicographic entailment, called Zλ- and lexλ-entailment, which are parameterized through a value λ ∈ [0,1] that describes the strength of the inheritance of purely probabilistic knowledge. In the special cases of λ = 0 and λ = 1, the notions of Zλ- and lexλ-entailment coincide with probabilistic generalizations of Pearl’s entailment in System Z and Lehmann’s lexicographic entailment that have been recently introduced by the author. We show that the notions of Zλ- and lexλ-entailment have similar properties as their classical counterparts. In particular, they both satisfy the rationality postulates of System P and the property of Rational Monotonicity. Moreover, Zλ-entailment is weaker than lexλ-entailment, and both Zλ- and lexλ-entailment are proper generalizations of their classical counterparts.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Katarina Britz, Johannes Heidema & Willem Labuschagne (2009). Semantics for Dual Preferential Entailment. Journal of Philosophical Logic 38 (4):433 - 446.
B. A. Davey, M. Haviar & H. A. Priestley (1995). The Syntax and Semantics of Entailment in Duality Theory. Journal of Symbolic Logic 60 (4):1087-1114.
Greg Restall (2000). Modelling Truthmaking. Logique Et Analyse 43:211-230.
Niki Pfeifer & G. D. Kleiter (2003). Nonmonotonicity and Human Probabilistic Reasoning. In Proceedings of the 6 T H Workshop on Uncertainty Processing. 221--234.
Lou Goble (2003). Neighborhoods for Entailment. Journal of Philosophical Logic 32 (5):483-529.
Stephen Harris (1994). Gts and Interrogative Tableaux. Synthese 99 (3):329 - 343.
Manfred Jaeger (2005). A Logic for Inductive Probabilistic Reasoning. Synthese 144 (2):181 - 248.
Donald Bamber (2000). Entailment with Near Surety of Scaled Assertions of High Conditional Probability. Journal of Philosophical Logic 29 (1):1-74.
Angelo Gilio (2005). Probabilistic Logic Under Coherence, Conditional Interpretations, and Default Reasoning. Synthese 146 (1-2):139 - 152.
Added to index2009-01-28
Total downloads13 ( #119,415 of 1,098,973 )
Recent downloads (6 months)6 ( #43,600 of 1,098,973 )
How can I increase my downloads?