How can space or the universe be both infinite and expanding at the same time?

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By using the word "expanding," we're given the assumption that the universe must be expanding into something, from a central, fixed point. In order to explain it in a somewhat concise manner, you have to realize that space isn't something that is just there and stellar objects are just moving throughout it, space bends and stretches.

An accurate analogy would be the dough/raisin analogy that's commonly used: the universe is a blob of dough with raisins spread throughout it. When you put the dough into an oven, the dough expands, taking the "stationary" raisins with it, increasing the distance (space) between the raisins.

Without any way to leave our little raisin, there is no way to see the "end" of the dough - so, if we assume that the universe is truly infinite, then it simply doesn't have anything to "expand" into. Using a mathematical analogy, you have a series of whole integers that start with one to infinity. If you took every number and multiplied by any factor, the numbers in your series have stretched away from each other; yet the list hasn't expanded. You still have a series that progresses from a number to infinity.

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