We contrast two Universe-outlooks and universality-sources. The first—localism—runs bottom-up and is in the vein of modern iterative set theory, generating ever more sets but all limited unities and barring an ur-Universe taken as a primary—the prime-object/unity. This contrasts with an absolutely infinite Universe-first outlook, globalism, inspired by some remarks on Cantor but later exiled by Zermelo. The metaphysics is now all top-down, and all sets (e.g. large cardinals) are regarded as generated fragments. The role of the (Godel-central) reflection principle is dissected.?