The Uncertain Reasoner's Companion A Mathematical Perspective [Paperback]

This is an introduction to the mathematical foundations of uncertain reasoning.An introduction to the mathematical foundations of the subject. This work will be welcomed by graduate students and research workers in logic, philosophy and computer science as a textbook for beginners.An introduction to the mathematical foundations of the subject. This work will be welcomed by graduate students and research workers in logic, philosophy and computer science as a textbook for beginners.Reasoning under uncertainty, that is, making judgments with only partial knowledge, is a major theme in artificial intelligence. Professor Paris provides here an introduction to the mathematical foundations of the subject. The author presents the key results on the subject, and formalizes within a unified framework the main contemporary approaches and assumptions. He concentrates on giving clear mathematical formulations, analyses, justifications, and consequences of the main theories about uncertain reasoning.Introduction; 1. Motivation; 2. Belief as probability; 3. Justifying belief as probability; 4. Dempster-Shafer belief; 5. Truth-functional belief; 6. Inference processes; 7. Principles of uncertain reasoning; 8. Belief revision; 9. Independence; 10. Computational feasibility; 11. Uncertain reasoning in the predicate calculus; 12. Principles of predicate uncertain reasoning; Glossary; Bibliography; Index. Those who value economic history's concern to establish what really happened will welcome the direction of attention to a problem of such contemporary interest as the multinational enterprise. Business History The majority of the papers are historical studies of particular enterprises or areas between the 1860s and the Second World War...The collection will provide matter of interest to others besides economic historians. Economic History Review This work is an outstanding mathematical treatment of uncertainty in knowledge-based systems. It provides, in a uunified manner, tlÃÃ