How definitive is the standard interpretation of Goedel's Incompleteness Theorem?

Bhupinder Singh Anand

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How definitive is the standard interpretation of Goedel's Incompleteness Theorem?

Bhupinder Singh Anand

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Abstract

Standard interpretations of Goedel's "undecidable" proposition, [(Ax)R(x)], argue that, although [~(Ax)R(x)] is PA-provable if [(Ax)R(x)] is PA-provable, we may not conclude from this that [~(Ax)R(x)] is PA-provable. We show that such interpretations are inconsistent with a standard Deduction Theorem of first order theories.

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Bhupinder Singh Anand. 2003-07-05. How definitive is the standard interpretation of Goedel's Incompleteness Theorem?. https://arxiv.org/abs/math/0307074

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