I mean you cannot completely describe nature with just a small set of axioms. There seems to be always more to be learned.
Well, it's doable, but only with broad axioms. The more detail needed, the more patterns on more scales we need to include, and the amount of patterns and scales are also infinite, so it's sort of a dead end. But practically, it works. Things like weather prediction, manufacturing tolerances, aircraft maneuverability etc. do get more accurate with more detailed and greater amount of calculations, but in the end it's brute forcing.
On a philosophical plane, the chasing of knowledge is pointless. Once one realizes infinity, they will also realize the futility of trying to understand
everything just for the sake of it.
On a practical plane, we will always be able to learn what we
truly need (i.e. not just shortcuts to fill the void of where intelligence cannot expand, f.ex. helping the survival of the retarded).