English

Godel's theorem is invalid

General Mathematics 2007-05-23 v1

Abstract

Goedel's results have had a great impact in diverse fields such as philosophy, computer sciences and fundamentals of mathematics. The fact that the rule of mathematical induction is contradictory with the rest of clauses used by Goedel to prove his undecidability and incompleteness theorems is proved in this paper. This means that those theorems are invalid.

Keywords

Cite

@article{arxiv.math/0510469,
  title  = {Godel's theorem is invalid},
  author = {Diego Saa},
  journal= {arXiv preprint arXiv:math/0510469},
  year   = {2007}
}

Comments

19 pages, no figures