Doesn't this add "the axioms of probability theory" ie "logic works" ie "the universe runs on math" to our list of articles of faith?

Edit: After further reading, it seems like this is entailed by the "Large ordinal" thing. I googled well orderedness, encountered the wikipedia article, and promptly shat a brick.

What sequence of maths do I need to study to get from Calculus I to set theory and what the hell well orderedness means?