It all depends on the units you choose to be represented by the number 1. If your units are apples and you have one of them, on cutting it in half you
have 2 halves. 1 of the halves is 1/2 of the chosen units(apple). If you choose to change your units to apple halves, then your argument can be
rationalized, I suppose. However, without fixing your units, you are not going to get rational results when doing arithmetic.
edit on 22-1-2012
by rom12345 because: (no reason given)