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The first thing is, people always want to see how big or small it is. My question is, what if it goes in both directions forever? Would it even be possible to know?" ~ Mapkar
If the universe is infinite (in terms of space/matter), we will never be able to prove this to be true, and thus never come to a full understanding of the universe. As we continue to expand our knowledge and realise that the universe is greater in size than we originally assumed, we will still be forced to assume that the "boundaries" exist at or beyond the edge of our knowledge. We will then continue to push these boundaries ad nauseum, searching for the end that isn't there. It is an exercise in futility that will continue as long as we live and seek complete understanding. ~ Glass
At some point the shear knowledge of infinity would cause the accumulation of so much of the memory medium (Neurons, electrons in a memory bank, or whatever) that it would exponentially grow out of control rendering infinity that much bigger. ~ Mapkar
The Universe was once Infinite Space and is now finite at any given moment, surrounded by a spherical black hole that prevents entropy and is growing back into its once Infinite Self. ~ ButtUglyToad