Rath on 24 September 2008
steven787 said: Menago, I understand. It really comes down to this. If we want to use the representation of .(3) = 1/3, then .(3) + .(3) + .(3) = 1 and not .(9) It can't be both. In the real world a number can't have two values. We have to pick the set of rules ahead of time (in this case: .(3) = 1/3), and justify the rules with other rules (in this case, the value of n). |
It doesn't have two values, it has one value which can be represented in two different ways because 0.(9)=1.