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A Note on Godel´s Theorem


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1 Trv Pirapora 36 Costa Azul, 41770-220, Salvador, Brazil
 

This short and informal article shows that, although Godel's theorem is valid using classical logic, there exists some four-valued logical system that is able to prove that arithmetic is both sound and complete. This article also describes a four-valued Prolog in some informal, brief and intuitive manner.

Keywords

Godel, Incompleteness Theorem, Four-Valued Logic, Hilbert’s Program.
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  • A Note on Godel´s Theorem

Abstract Views: 397  |  PDF Views: 156

Authors

J. Ulisses Ferreira
Trv Pirapora 36 Costa Azul, 41770-220, Salvador, Brazil

Abstract


This short and informal article shows that, although Godel's theorem is valid using classical logic, there exists some four-valued logical system that is able to prove that arithmetic is both sound and complete. This article also describes a four-valued Prolog in some informal, brief and intuitive manner.

Keywords


Godel, Incompleteness Theorem, Four-Valued Logic, Hilbert’s Program.

References