English

The Halting Probability Omega: Irreducible Complexity in Pure Mathematics

History and Overview 2007-05-23 v1

Abstract

Some Goedel centenary reflections on whether incompleteness is really serious, and whether mathematics should be done somewhat differently, based on using algorithmic complexity measured in bits of information. [Enriques lecture given Monday, October 30, 2006, at the University of Milan.]

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Cite

@article{arxiv.math/0611740,
  title  = {The Halting Probability Omega: Irreducible Complexity in Pure Mathematics},
  author = {G. J. Chaitin},
  journal= {arXiv preprint arXiv:math/0611740},
  year   = {2007}
}
R2 v1 2026-07-22T17:46:51.266Z