[DCKing]

Talking about "side effects", "transformation" or "emergence" seems to assign properties to mathematics that I can't really wrap my head around. I thought that all we could be certain of when it comes to math is that it is a self-consistent set of axioms and rules. A set, of infinite size or not, that would be static and fixed.

[zbyte64]

A set is fixed but you have an infinite number of sets. We could imagine a (infinitely large) set that contains all primes. But how was that set constructed? To construct such a set an iterative process has to be continuously applied to the prior set. I consider this akin to emergence because physical processes act much the same way and result in novel configurations (sets).