Heraclitus - Footnote 11
11. The apparent contradiction between the notions of a closed, and yet infinite universe is resolved by the fact that what is meant here by "infinity" is not spatial, ie, (geometric) infinity, which was a notion quite foreign to the Greeks in so far as their entire mathematics was grounded in perceptual (Euclidean) space, but rather infinite "knowledge", ie, our "knowledge" is self-increasing in an infinite sense, as distinct from a "finite space". The most seminal minds of antiquity were terrified by the notion of spatial infinity, and if we are to believe the parable of the Pythagoreans concerning the discovery of incommensurable magnitudes, which is a problem that can only be solved with the introduction of irrational numbers, or Plato's recounting of Zeno's paradoxes in the Paramenides, we see the negation of their universe.