INFORMATION, RANDOMNESS & INCOMPLETENESS: PAPERS ON ALGORITHMIC INFORMATION THEORY (World Scientific Computer Science)

Chaitin Gregory J

ISBN 10: 9971504790 / ISBN 13: 9789971504793

Published by World Scientific Publishing Company, 1987

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Bibliographic Details

• Title: INFORMATION, RANDOMNESS & INCOMPLETENESS: PAPERS ON ALGORITHMIC INFORMATION THEORY (World Scientific Computer Science)
• Publisher: World Scientific Publishing Company
• Publication Date: 1987
• Language: English
• ISBN 10: 9971504790
• ISBN 13: 9789971504793
• Binding: Hardcover
• Condition: New

About this title

Synopsis

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.

From the Back Cover

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 G del'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.