The one example you did give isn't all that convincing to me. One might just as well say that 1 + 1 = 2 = 0 and that two is simply another label for zero in the mod 2 space... I'd be interested to see if there is some area of mathematics, where there is a good reason to define two in a way, such that 1 + 1 = 2 does not hold
The one example you did give isn't all that convincing to me. One might just as well say that 1 + 1 = 2 = 0 and that two is simply another label for zero in the mod 2 space... I'd be interested to see if there is some area of mathematics, where there is a good reason to define two in a way, such that 1 + 1 = 2 does not hold