THE UNKNOWABLE

Note moyenne 
Gregory-J Chaitin - THE UNKNOWABLE.
This essential companion volume to CHAITIN's highly successful " The Limits of Mathematics ", also published by Springer, gives a brilliant historical... Lire la suite
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Résumé

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 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.

Sommaire

    • A hundred years of controversy regarding the foundations of mathematics
    • Lisp : a formalism for expressing mathematical algorithms
    • Gödel's proof of his incompleteness theorem
    • Turing's proof of the unsolvability of the halting problem
    • My proof that you can't show that a lisp expression is elegant
    • Information & randomness : a survey of algorithmic information theory
    • Mathematics in the third millennium ?

Caractéristiques

  • Date de parution
    27/10/1999
  • Editeur
  • Collection
  • ISBN
    9814021725
  • EAN
    9789814021722
  • Présentation
    Relié
  • Nb. de pages
    125 pages
  • Poids
    0.41 Kg
  • Dimensions
    16,0 cm × 23,5 cm × 1,5 cm

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