The universe doesn't have volume from outside?

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A friend and I have been debating a topic for the last few days and I would really like a more informed opinion on the discussion.

My friend says that IF you could, some how, see the universe from the outside and it appears that the universe is a finite flat, spherical shape, or other shape then it obviously isn't infinite.

I say, because the universe is space itself, its apparent volume outside of space is irrelevant because it's not taking up any space. For all we know, it could look like a tiny sparkle to us on the outside and be the giant infinite universe we know on the inside. It may look finite on the outside but could never stop getting smaller.

Who is closer to correct, here? The information you give us is invaluable and highly treasured.
 
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By definition there is no outside of the Universe.
 
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