Eliminating Undecidability and Incompleteness in Formal Systems (by making Formal Systems correspond to the Sound Deductive Inference model)

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Abstract
Tarski "proved" that there cannot possibly be any correct formalization of the notion of truth entirely on the basis of an insufficiently expressive formal system that was incapable of recognizing and rejecting semantically incorrect expressions of language. An alternative that corrects the shortcomings of the conventional notion of formal systems is provided that totally eliminates incompleteness and undecidability from all formal systems capable of directly expressing a provability predicate (thus without diagonalization).
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First archival date: 2019-04-15
Latest version: 32 (2019-04-19)
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