(November 16, 2014 at 7:42 pm)IATIA Wrote: It still boils down to the universe is either infinite or bounded.
No, it doesn't. If the universe is *perfectly flat* (i.e. Euclidean, with no curvature) then it's either infinite or bounded. If it's not (i.e. there is any amount of curvature), then it can be finite and unbounded. We don't know which applies - current thought is that it is either flat, or very nearly so.
Don't take my word for it, read up on what cosmology actually has to say on the matter. But please, don't make the mistake of assuming that what you understand about Euclidean geometry necessarily applies.
Quote:If, in a curved universe, one were to try and travel outside, any path taken would still be within our universe, though finite, it would appear infinite.
This appears to be contradictory with the dichotomy you asserted in the first quoted section.
Also, I'm not sure that "outside the universe" is even a coherent concept.