The Fundamental Flaw in Gödels Proof of the Incompleteness Theorem

This paper identifies the fundamental error inherent in Gödel’s proof of his Incompleteness Theorem. The error is generated by the ambiguity of the language of Gödel’s outline proof of his Proposition V, a proposition for which Gödel declined to furnish a detailed proof. The error arises from a confusion of the meta-language and the languages to which it refers, a confusion which is exacerbated by the failure of Gödel to clarify the principal assertions involved in his suggested proof outline, where there is a reliance on intuition rather than logical transparency.