You wrote:
> In real life, however, numbers are not realted to their
> representation.
Right, but I meant "computer life".
> So you have one zero, regardless the representation of that
> zero. If you have two representations (i.e. positive and
> negative zero), it is still the same zero.
Yes, but in real life the set of real numbers is continous and
infinite, while in "Spectrum life" the set of real numbers is
countable and smaller than 2^40 pieces.
When you divide 3E-39 by 10, you won't get 3E-40, but 0
("+zero" in my definition).
When you divide -3E-39 by 10, you won't get -3E-40, but 0
("-zero" in my definition).
You could from this get false impression that 3E-40=-3E-40.
> In the fact, you can't simply "define" these two ~numbers~,
> unless you define whole algebra with all possible implications
> and consequences. Did you do it?
I have it in my head. I can write down if someone interested...
--
Yarek.
