Gregory J. Chaitin
The Unknowable
Gebonden Engels 1999 1999e druk 9789814021722Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
This 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.
Specificaties
ISBN13:9789814021722
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:124
Uitgever:Springer Nature Singapore
Druk:1999
Lezersrecensies
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Inhoudsopgave
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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