The papers gathered in this book were published over a period of more than twenty years in widely scattered journals. They led to the discovery of randomness in arithmetic which was presented in the recently published monograph on "Algorithmic Information Theory" by the author. There the strongest possible version of Goedel's incompleteness theorem, using an information-theoretic approach based on the size of computer programs, was discussed. The present book is intended as a companion volume to the monograph and it will serve as a stimulus for work on complexity, randomness and unpredictability, in physics and biology as well as in metamathematics.

Book Information
ISBN 9789971504793
Author Gregory J. Chaitin
Format Hardback
Page Count 284
Imprint World Scientific Publishing Co Pte Ltd
Publisher World Scientific Publishing Co Pte Ltd