The Algebra of Probable Inference/Inquiry is a common sense foundational reformation of the concepts of Probability, by the simple generalization of implication among logical statements in the Boolean algebra to degrees of implication , and of Entropy, by generalizing a particular function of the question lattice to a valuation called relevance which is a measure of the degree to which a statement answers a given question. This effectively establishes probability theory as logic.
Published in Chapter:
Autognomic Intellisite
Jon Ray Hamann (University at Buffalo, State University of New York, USA)
Copyright: © 2009
|Pages: 6
DOI: 10.4018/978-1-60566-026-4.ch050
Abstract
The 20th century saw the beginning of the evolution of learning machines from the growth of Boolean computers into Bayesian inference machines (Knuth, 2003). For some this is the crux of Artificial Intelligence (AI); however, AI research generally has yielded a plethora of specifically engineered, but formally unrelated, theories/models with varied levels of applications successes/failures, but without a commonly-explicatable conceptual foundation (i.e., it has left a theory-glut). Despite these many approaches to AI, including Automated Neural Nets, Natural Language Processing, Genetic Algorithms, Fuzzy Logic and Fractal Mathematical computational approaches, to identify only a few, AI itself has remained an elusive goal to achieve by means of a systems architecture relying on an implementation based on the systemic computer paradigm. The 21st century experience is overwhelmingly one of an ever-accelerating, dynamically changing world. Just staying in place seems nearly impossible—getting ahead is becoming increasing unfathomable in a world now characterized by an evolving dominance of Information Science and Technology Development in exponentially tighter (shorter) innovation cycles (IBM, 2008). In business, for example, there is the continuous challenge to ensure that the business’s products appear obviously differentiated from the competition, while staying current with the never-ending hot new trends that buffet the industry. A prime case in point is that of staying current with the trends in the computer solutions industry since adapting a computer dependent business (and most are) for the next big trend can be expected to be mitigated, if not made completely obsolete, by the next next big trend already on the radar screen.