The Unknowable / Edition 1

The Unknowable / Edition 1

by Gregory J. Chaitin, G. J. Chaitin
     
 

ISBN-10: 9814021725

ISBN-13: 9789814021722

Pub. Date: 07/01/1999

Publisher: Springer Singapore

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

Overview

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

Product Details

ISBN-13:
9789814021722
Publisher:
Springer Singapore
Publication date:
07/01/1999
Series:
Discrete Mathematics and Theoretical Computer Science Series
Edition description:
1999
Pages:
124
Product dimensions:
6.41(w) x 9.56(h) x 0.67(d)

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.

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