Summary of A New Normative Theory of Probabilistic Logic
Romas Aleliunas
Abstract:
By probabilistic logic I mean a normative theory of belief that explains how a body of evidence affects one's degree of belief in a possible hypothesis. A new axiomatization of such a theory is presented which avoids a finite additivity axiom, yet which retains many useful inference rules. Many of the examples of this theoryits models do not use numerical probabilities. Put another way, this article gives sharper answers to the two questions: 1.What kinds of sets can used as the range of a probability function? 2.Under what conditions is the range set of a probability function isomorphic to the set of real numbers in the interval 10,1/ with the usual arithmetical operations?
Keywords:
Pages: 814
PS Link:
PDF Link: /papers/88/p8aleliunas.pdf
BibTex:
@INPROCEEDINGS{Aleliunas88,
AUTHOR = "Romas Aleliunas
",
TITLE = "Summary of A New Normative Theory of Probabilistic Logic",
BOOKTITLE = "Proceedings of the Fourth Conference Annual Conference on Uncertainty in Artificial Intelligence (UAI88)",
PUBLISHER = "AUAI Press",
ADDRESS = "Corvallis, Oregon",
YEAR = "1988",
PAGES = "814"
}

