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I know this thread, about why the Universe can't expand inward, is fairly old; but I stumbled across it today and there was something mentioned here that sparked a question I feel like people here would be qualified to answer. What was mentioned, was that a singularity is a point at which our mathematics breaks down and can no longer describe what takes place (Chronos' comment). My question is, is there a point in the other direction where we can say the same thing? Would this 'point' be infinity? Or is there another word to describe it? If our Universe exploded from a singularity and is expanding in an infinite or unbounded manner, would that not mean that at some point, what we expand to is as impossible for our mathematics to describe as what we expand from? If that is the case, what would be the difference between a singularity and this other state? Could that possibly describe something like what the OP in the original thread suggested, a seemingly inward expansion, whereby the Universe expands toward the same mathematical breakdown / state that it exploded from? I'm not a physicist, and I'm not a mathematician - I'm simply interested in this sort of thing, my apologies if the answer to the question is too simple :-)