The Gödel's legacy: revisiting the Logic

ABSTRACT: Some common fallacies about fundamental themes of Logic are exposed: the First and Second incompleteness Theorem interpretations, Chaitin’s various superficialities and the usual classification of the axiomatic Theories in function of its language order.

KEYWORDS: Incompleteness, undecidability, semantic completeness, categoricity, randomness, Chaitin's constant, first and second order languages, consistency.