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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).



I would cite regulation, but I know you will simply ignore it.