The Unknowable by Gregory J. ChaitinThe Unknowable by Gregory J. Chaitin

The Unknowable

byGregory J. Chaitin

Hardcover | August 5, 1999

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This essential companion to Chaitins highly successful The Limits of Mathematics, gives a brilliant historical survey of important work on the foundations of mathematics. The Unknowable is a very readable introduction to Chaitins ideas, and includes software (on the authors website) that will enable users to interact with the authors proofs. "Chaitins new book, The Unknowable, is a welcome addition to his oeuvre. In it he manages to bring his amazingly seminal insights to the attention of a much larger audience His work has deserved such treatment for a long time." JOHN ALLEN PAULOS, AUTHOR OF ONCE UPON A NUMBER
Title:The UnknowableFormat:HardcoverDimensions:124 pagesPublished:August 5, 1999Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9814021725

ISBN - 13:9789814021722


Table of Contents

I. 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.

From Our Editors

Whether you’ve read Gregory J. Chaitin’s The Limits of Mathematics or not, chances are you’ve heard about it or his groundbreaking seminars on the topic. Now Chaitin continues to help people who are interested in computers or applied math gain a better understanding of these subjects with The Unknowable. Treating this book as a sequel, he also includes free software that you can obtain from his Web site.