Meaning of No-Being
42 Pages Posted: 13 Jun 2013 Last revised: 2 Jan 2020
Date Written: November 1, 2019
In this article, we reveal the logic gap, a self-contradiction, in Gödel’s proof of the Incompleteness Theorem and provide its resolution so as to complete that which is incomplete as regards the incompleteness of a formal system. In order to develop the resolution, we introduce concepts that are of elemental importance to analytic philosophy based on the renewed investigation and study of time-enduring paradoxes in Philosophy. In the end, our resolving effort leads to the revelation that the incompleteness due to the un-decidability is nevertheless the defining property of a formal system that starts with propositions that are being axiomatic.
Keywords: Zeno's Achilles and Tortoise, Russell’s Paradox, Godel's Incompleteness Theorem
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