[kaashif]

> If space were three dimensionally finite, then there must be a boundary.

Not true, space might just repeat in all directions - a finite volume but with no boundaries. Maybe if you go far enough you always end up back where you came from.

[user8501]

That may be true. But if that we’re the case, then a fourth spatial must exist for the entire 3rd dimension to wrap in on itself. And then we find ourselves in the same infinite regression, wondering about the boundaries of the parent dimension.