rationalskepticism.org

I think there are different levels to the conversation; weak anthropocentricism is one, enumerating discrete entities is one slice of mathematics, but there are other aspects to it which still contain some fairly complicated questions. The relationship between observed quantities and their interactions are pretty much banal in terms of 'why mathematics' - but positing extra dimensions which aren't observable but either appear necessary or just merely useful, and describing interactions within those notional realms even while remaining unobservable, and then predictions arising from that apparently offering real world utility in explaining factors of our space where we can observe interactions but can't explain them solely by observable quantities... all of which is where it becomes harder to explain why mathematics is so effective. As both videos note, in some instances mathematicians arrive - in the abstract - at extremely complex notions that physicists later find essential in dealing with observable quantities.