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Irreducible Complexity in Pure Mathematics

History and Overview 2007-05-23 v1

Abstract

By using ideas on complexity and randomness originally suggested by the mathematician-philosopher Gottfried Leibniz in 1686, the modern theory of algorithmic information is able to show that there can never be a "theory of everything" for all of mathematics.

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Cite

@article{arxiv.math/0411091,
  title  = {Irreducible Complexity in Pure Mathematics},
  author = {G. J. Chaitin},
  journal= {arXiv preprint arXiv:math/0411091},
  year   = {2007}
}

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13 pages