2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75657We define instantiational and algorithmic completeness for a formal language. We show that, in the presence of Church's Thesis, an alternative interpretation of Goedelian incompleteness is that Peano Arithmetic is instantiationally complete, but algorithmically incomplete. We then postulate a Provability Thesis that links Peano Arithmetic and effective algorithmic computability, just as Church's Thesis links Recursive Arithmetic and effective instantiational computability.18 pages; an HTML version is available at http://alixcomsi.com/PA_is_instantiationally_complete.htmGeneral Mathematics03B10text