Mathematics – General Mathematics
Scientific paper
2005-10-21
Mathematics
General Mathematics
19 pages, no figures
Scientific paper
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.
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