The Relative Logic is a nonclassic logic. It is a fundamental building block for realizing intelligence in machines. It is probabilistic, temporal, circumstantial, and context-dependent. It generalizes the classic two-valued logic, the classic multi-valued logic, and the fuzzy logic. It involves and copes with uncertainty. 

Book Contents

The first chapter of the book, written in a nontechnical way, brings in the phenomenology provided by the logical paradoxes, game theory, decision theory, dialectic reasoning, and literature, in order to plead in favour of the relative character of the logic used by intelligent human beings. The next three chapters deal with the mathematical formalism of the two-valued relative logic, the multi-valued relative logic, and the stochastic logic. The presentation is self-contained and the reader is supposed to have only basic knowledge about classical logic, naive set theory, and elementary probability theory. The last chapter contains applications to pattern-recognition and decision process.

There is no book dealing with the mathematical formalism of this type of logic published thus far. The potential readers are people interested in nonclassic logics, expert systems, artificial intelligence, and knowledge-based systems.  

About the Author

Professor Dr. Silviu Guiasu was born in Oradea, Romania, in 1938. He received his Master Degree in Mathematics from Bucharest University, and PhD in Mathematics from the Romanian Academy of Sciences in Bucharest. After graduation, he worked for ten years as a scientific researcher at the Mathematical Research Institute of the Romanian Academy of Sciences in Bucharest. During the next ten years, he was an Associate Professor in the Faculty of Mathematics at Bucharest University.

In 1981, he moved to Canada and, since 1982, he has been a Full Professor with tenure in the Department of Mathematics and Statistics at York University in Toronto. He is the author of 11 books and 132 published papers with topics from Information Theory, Game Theory, Nonclassic Logics, Probability Theory, Pattern-recognition, Statistical Mechanics, and Quantum Mechanics.