In this mathematical autobiography, Gregory Chaitin presents a technical survey of his work and a non-technical discussion of its significance. The volume is a companion to the earlier collection of Chaitin's papers "Information, Randomness and Incompleteness" also published by World Scientific. The technical survey contains many new results, including a detailed discussion of LISP program size and new versions of Chaitin's most fundamental information-theoretic incompleteness theorems. The nontechnical part includes the lecture given by Chaitin in Goedel's classroom at the University of Vienna, a transcript of a BBC TV interview, and articles from the "New Scientist", "La Recherche", and the "Mathematical Intelligencer".
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"Chaitin has produced very deep results, with tremendous impact on mathematics, computer technology and philosopy (and, in particular, on GIT). His new book is another piece of jewellery in his (already) large gallery." Cristian Calude Bulletin (EATCS) "The book under review is an extraordinary mathematical monograph." M I Dekhtyar Mathematical Reviews "... the reviewer found the book most stimulating and highly recommends it." A A Mullin Mathematics Abstracts
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