The property of each principle with axiological stateliness is that of technological constitution. Besides, toeach axiological principle, expressly, bears the right to life by the method / methods of its functional area. The Principle of General Axiology, called by us Principle of Graciousness, nominates from beginning, at the global mode, the strategic route by the three defining methods: Method of Returning to Essence- MRE, Method of Emphatic Analysis – MEA, Method of Evidence of Axiological Completions, activated from Pythagoras theorem: The Sum of Legs on Square is equal with the Square of Hypotenuse. By which is exercising a proof with axiomatic accents well pronounced. The Grouting of Global Axiological Principle of the Graciousness action, in the entire space of valorization / revalorization of the Pythagorean theorem are of completing edification, opposite the ten possibilities of norming evolving / evaluation, highlighted in our many reversals on discursive scale. The effectiveness of approach is one carrying of dialogue, of interactive communication, at a: a) normative - speculative - metaphysical level b) cognitive – energeticregulative level. The entire concept relies on the theoretical – applicative syntheses of the author (Prof. L.B.),based on the theories of local and world-classconceptive, on the thematic imperatives of this Conference.