This volume commemorates the life, work, and foundational views of Kurt G del (1906-1978), most famous for his hallmark works on the completeness of first-order logic, the incompleteness of number theory, and the consistency - with the other widely accepted axioms of set theory - of the axiom of choice and of the generalized continuum hypothesis. It explores current research, advances, and ideas for future directions not only in the foundations of mathematics and logic, but also in the fields of computer science, artificial intelligence, physics, cosmology, philosophy, theology, and the history of science. The discussion is supplemented by personal reflections from several scholars who knew G del personally, providing some interesting insights into his life. By putting his ideas and life's work into the context of current thinking and perceptions, this book will extend the impact of G del's fundamental work in mathematics, logic, philosophy, and other disciplines for future generations of researchers.
Author: Matthias Baaz Publisher: Cambridge University Press Published: 06/06/2011 Pages: 540 Binding Type: Hardcover Weight: 2.45lbs Size: 10.00h x 7.00w x 1.30d ISBN: 9780521761444
Review Citation(s): Choice 06/01/2012
About the Author Baaz, Matthias: - Matthias Baaz is currently University Professor and Head of the Group for Computational Logic at the Institute of Discrete Mathematics and Geometry at the Vienna University of Technology.Papadimitriou, Christos H.: - Christos H. Papadimitriou is C. Lester Hogan Professor of Electrical Engineering and Computer Sciences at the University of California, Berkeley, where he has taught since 1996 and where he is a former Miller Fellow.Putnam, Hilary W.: - Dana S. Scott is Hillman University Professor Emeritus of Computer Science, Philosophy, and Mathematical Logic at Carnegie Mellon University in Pittsburgh. Et al...