Information, Randomness and Incompleteness : Papers on Algorithmic Information Theory

Chaitin, Gregory J.

ISBN 10: 9971504804 / ISBN 13: 9789971504809

Verlag: Wspc, 1987

Bestandsnummer des Verkäufers 20130417-n

Inhaltsangabe:

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.

Von der hinteren Coverseite: 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.

Bibliografische Details

Titel: Information, Randomness and Incompleteness :...
Verlag: Wspc
Erscheinungsdatum: 1987
Einband: Softcover
Zustand: New