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Gödel versus Gödel. Part 2 of 2

Author:

Leon, Antonio

Category:

Research Papers

Sub-Category:

Mathematics and Applied Mathematics

Language:

English

Date Published:

February 10, 2022

File:

/Research Papers-Mathematics and Applied Mathematics/Download/8962

Downloads:

Keywords:

Gödel First Incompleteness theorem, self-reference

Abstract:

This Part 2 proves that, under the hypothesis that Gödel's formal system P were complete, the undecidable sentence involved in Gödel's First Incompleteness Theorem would be inconsistent, the reason for its consistency being its self-referential nature. This inconsistency makes Gödel's theorem unnecessary and confirm the conclusions on the supertask test of Gödel's sentence discussed in Part 1 of this article