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Well, it's not clear to me why we would assume there is a boundary. And I don't know what it means to think of a 3D area as a 2D surface anyway. And I don't think it's possible to have a finite space with no well-defined boundary.



> I don't think it's possible to have a finite space with no well-defined boundary.

The 2D space described by the surface of a sphere is one such space.


In English, "space" is a volume, not a surface.


We're not speaking English, we're speaking math.


Oh. Yes, now that you have mentioned it, I do recall "space" being used in math classes in a unique way. It never occured to me that that is how "space" was being used.




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