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Information, Randomness & Incompleteness: Papers On Algorithmic Information Theory
Gregory J Chaitin
出版World Scientific, 1987-12-18
主題Computers / Computer Science
ISBN98145137339789814513739
URLhttp://books.google.com.hk/books?id=kXMGCwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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 Gödel'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.