Godel's theorem is invalid
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- October 2005
- DOI:
- 10.48550/arXiv.math/0510469
- arXiv:
- arXiv:math/0510469
- Bibcode:
- 2005math.....10469S
- Keywords:
-
- Mathematics - General Mathematics;
- 03B10;
- 03D35;
- 03B70
- E-Print:
- 19 pages, no figures