Query the Triple Loophole of the Proof of Gödel Incompleteness Theorem

Proceedings of the Xxii World Congress of Philosophy 41:77-94 (2008)
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Abstract

Kurt Godel’s “Incompleteness Theorem” is generally seen as one of the three main achievements of modern logic in philosophy. However, in this article, three fundamental flaws in the theorem will be exposed about its concept, judgment and reasoning parts by analyzing the setting of the theorem, the process of demonstration and the extension of its conclusions. Thus through the analysis of the essence significance of the theorem, I think the theorem should be classified as "liar paradox" or something like that. Therefore, the theorem is not reliable and then the content of the theorem itself is questionable. At the same time, please note, the root of the problem exposed in Godel's “Incompleteness Theorem” is a typical example o f existing loopholes in traditional logic.

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