Yes!!! Yes!!!- the space is infinite and the universe is finite, just so simple!
I agree to this, but your examples are mathematical (theoretical), what I'm talking about is on the physical side, that means "the matter".
About paradoxes, there are, I can't explain them ether. But in general, if there is something unexplained, it does not mean there is not an explanation.
About the geometry, or mathematics, all was progressed from their points, as you know there was a big gap between them and the people you mentioned and almost no one was filling this gap.
So as I see, we have to be little modesty and to respect them for what they achieved.
Please, pay attention to what I said about Aristotle's, I mentioned his theory about the metaphysics, to say that there something behind the physics, and these you can't calculate or measure!
Simon