IIUC, the difference is huge. In the former case, the universe is open, 
spatially infinite with infinite mass (assuming a nonzero mass distribution 
on large scale everywhere), whereas the latter is closed, finite in spatial 
extent and mass. But I notice that most cosmologists claim the universe is 
*flat*, as in mathematically flat. Are they just speaking loosely and 
really mean the universe is ASYMPTOTICALLY flat? I find it contradictory 
for a universe which is finite in age, to be truly mathematically FLAT. TIA.

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