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OverviewThis essential companion volume to Chaitin's highly successful ""The Limits of Mathematics"", also published by Springer, gives a brilliant historical survey of the work of this century on the foundations of mathematics, in which the author was a major participant. The Unknowable is a very readable and concrete introduction to Chaitin's ideas, and it includes a detailed explanation of the programming language used by Chaitin in both volumes. It will enable computer users to interact with the author's proofs and discover for themselves how they work. The software for The Unknowable can be downloaded from the author's Web site. Full Product DetailsAuthor: Gregory J. ChaitinPublisher: Springer Verlag, Singapore Imprint: Springer Verlag, Singapore Edition: 1999 ed. Dimensions: Width: 15.50cm , Height: 0.90cm , Length: 23.50cm Weight: 0.800kg ISBN: 9789814021722ISBN 10: 9814021725 Pages: 124 Publication Date: 01 July 1999 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsI. A Hundred Years of Controversy Regarding the Foundations of Mathematics.- II. LISP: A Formalism for Expressing Mathematical Algorithms.- III. Gödel's Proof of his Incompleteness Theorem.- IV. Turing's Proof of the Unsolvability of the Halting Problem.- V. My Proof that You Can Show that a LISP Expression is Elegant.- VI. Information & Randomness: A Survey of Algorithmic Information Theory.- VII. Mathematics in the Third Millennium?- Bibliography.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |