You can go on adding new axioms to your incomplete system, in an attempt to complete it. This to me looks like measurement processes in quantum mechanics. Mathe

You can go on adding new axioms to your incomplete system, in an attempt to complete it. This to me looks like measurement processes in quantum mechanics. Mathematicians gave up on the idea of the "one true" mathematics, but it seems physicists still hope for the "one true" reality. Maybe this is a facile analogy. I'm still pondering if there are deeper things to be said about this.