FOURTH INTERNATIONAL SYMPOSIUM ON
IMPRECISE PROBABILITIES AND THEIR APPLICATIONS
Carnegie Mellon University
Pittsburgh, PA, USA
July 20-23 2005

ISIPTA'05 ELECTRONIC PROCEEDINGS

Rolf Haenni

Towards a Unifying Theory of Logical and Probabilistic Reasoning

Abstract

Logic and probability theory have both a long history in science. They are mainly rooted in philosophy and mathematics, but are nowadays important tools in many other fields such as computer science and, in particular, artificial intelligence. Some philosophers studied the connection between logical and probabilistic reasoning, and some attempts to combine these disciplines have been made in computer science, but logic and probability theory are still widely considered to be separate theories that are only loosely connected. This paper introduces a new perspective which shows that logical and probabilistic reasoning are no more and no less than two opposite extreme cases of one and the same universal theory of reasoning called probabilistic argumentation.

Keywords. Logical reasoning, probabilistic reasoning, uncertainty, ignorance, argumentation

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Authors addresses:

Institute of Computer Science and Applied Mathematics
University of Berne
Neubr├╝ckstrasse 10
CH-3012 Berne

E-mail addresses:

Rolf Haenni haenni@iam.unibe.ch

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