But the definition of the limit (epsilon-delta) is based on ? So we cant really use a definition of a limit that is defined in in right? So basically when you take a limit in the closest you can be is 1 unit away. So cant you restrict the definition of a limit? You are still taking a limit right?
Actually I think you can. by the Dedekind cuts. So the definition that applies in will also apply to but not vice-versa.