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  • Algorithmic Information Theoryby Gregory. J. Chaitin

    Cambridge University Press 2004; US$ 50.00

    Expounds Gödel's incompleteness theorey using an information theoretic approach based on the size of computer programs. more...

  • Information, Randomness & Incompletenessby Gregory J. Chaitin

    World Scientific Publishing Company 1987; US$ 54.60

    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... more...

  • Information-Theoretic Incompletenessby Gregory J. Chaitin

    World Scientific Publishing Company 1992; US$ 40.95

    In this mathematical autobiography, Gregory Chaitin presents a technical survey of his work and a nontechnical discussion of its significance. The volume is an essential companion to the earlier collection of Chaitin's papers Information, Randomness and Incompleteness, also published by World Scientific.The technical survey contains many new... more...

  • Thinking About Godel and Turingby Gregory J. Chaitin

    World Scientific Publishing Company 2007; US$ 63.70

    Dr Gregory Chaitin, one of the world's leading mathematicians, is best known for his discovery of the remarkable Ω number, a concrete example of irreducible complexity in pure mathematics which shows that mathematics is infinitely complex. In this volume, Chaitin discusses the evolution of these ideas, tracing them back to Leibniz and Borel... more...

  • Exploring RANDOMNESSby Gregory J. Chaitin

    Springer London 2012; US$ 94.48

    In The Unknowable I use LISP to compare my work on incompleteness with that of G6del and Turing, and in The Limits of Mathematics I use LISP to discuss my work on incompleteness in more detail. In this book we'll use LISP to explore my theory of randomness, called algorithmic information theory (AIT). And when I say "explore" I mean it! This book is... more...

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