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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67987Standard 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.12 pages; an HTML version is available at http://alixcomsi.com/How_definitive_is_the_standard.htmGeneral Mathematics03B10How definitive is the standard interpretation of Goedel's Incompleteness Theorem?text