Cover Image

Conversations with a Mathematician : Math, Art, Science and the Limits of Reason /

G.J. Chaitin is at the IBM Thomas J. Watson Research Center in New York. He has shown that God plays dice not only in quantum mechanics, but even in the foundations of mathematics, where Chaitin discovered mathematical facts that are true for no reason, that are true by accident. This book collects...

Full description

Bibliographic Details
Main Author: Chaitin, Gregory J.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: London : Springer London, 2002.
Subjects:
Mathematics.
Computer science.
Computer science > Mathematics.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • A Century of Controversy over the foundations of mathematics
  • How to be a mathematician
  • The creative life: science vs art
  • Algorithmic information theory and the foundations of mathematics
  • Randomness in arithmetic
  • The reason for my life
  • Undecidability and randomness in pure mathematics
  • Math, science and fantasy
  • Sensual mathematics
  • Final thoughts.