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The limits of mathematics : a course on information theory and the limits of formal reasoning
Author:
ISBN: 981308359X 9789813083592 Year: 1998 Publisher: Singapore : Springer-Verlag Singapore,

The unknowable
Author:
ISBN: 9814021725 9789814021722 Year: 1999 Publisher: Singapore Springer

Meta Math! : The quest for omega.
Author:
ISBN: 0375423133 Year: 2005 Publisher: New York (N.Y.) Knopf

Thinking about Godel and Turing : essays on complexity, 1970-2007
Author:
ISBN: 1281918679 9786611918675 9812708979 9789812708977 9789812708960 9812708960 9789812708953 9812708952 Year: 2007 Publisher: Singapore ; Hackensack, NJ : World Scientific,

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Abstract

Dr Gregory Chaitin, one of the world's leading mathematicians, is best known for his discovery of the remarkable O 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 as well as Gödel and Turing.This book contains 23 non-technical papers by Chaitin, his favorite tutorial and survey papers, including Chaitin's three Scientific American articles. These essays summarize a lifetime effort to use the notion of program-size co

Information, randomness and incompleteness: papers on algorithmic information theory
Author:
ISBN: 9971504790 9971504804 9789971504809 Year: 1987 Publisher: Singapore: World scientific,

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Conversations with a mathematician; math, art, science and the limits of reason : a collection of his most wide-ranging and non-technical lectures and interviews
Author:
ISBN: 1852335491 Year: 2002 Publisher: London : Springer,

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Keywords

Mathematics.


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Proving Darwin : making biology mathematical
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ISBN: 9780375423147 0375423141 Year: 2012 Publisher: New York : Pantheon Books,

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Explains how evolution works on a mathematical level, arguing that mathematical theory is an essential part of evolution while highlighting mathematical principles in the biological world.

Algorithmic information theory.
Author:
ISBN: 0521616042 Year: 2004 Publisher: Cambridge Cambridge University press

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