Summary of A New Normative Theory of Probabilistic Logic
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 theory--its 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
Cite
@article{arxiv.1304.2340,
title = {Summary of A New Normative Theory of Probabilistic Logic},
author = {Romas Aleliunas},
journal= {arXiv preprint arXiv:1304.2340},
year = {2013}
}
Comments
Appears in Proceedings of the Fourth Conference on Uncertainty in Artificial Intelligence (UAI1988)