chosen, yes, but -not- arbitrary. Axiom are chosen very carefully at the foundation based on all the upper knoweledge, based on these axioms -all- above must

chosen, yes, but -not- arbitrary. Axiom are chosen very carefully at the foundation based on all the upper knoweledge, based on these axioms -all- above must be proved (under Goedel blessing), not -some- stuff. Change axiom and you end with -another- math.