Le Thursday 29 November 2007 18:52:36 Torgny Tholerus, vous avez écrit :
> Quentin Anciaux skrev:
> > Le Thursday 29 November 2007 18:25:54 Torgny Tholerus, vous avez écrit :
> >> As soon as you talk about "the set N", then you are making a "closure"
> >> and making that set finite.
> >
> > Ok then the set R is also finite ?
>
> Yes.

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> >> The only possible way to talk about
> >> something without limit, such as natural numbers, is to give a
> >> "production rule", so that you can produce as many of that type of
> >> objects as you want. If you have a natural number n, then you can
> >> "produce" a new number n+1, that is the successor of n.
> >
> > What is the production rules of the "no"set R ?
>
> How do you define "the set R"?
http://en.wikipedia.org/wiki/Construction_of_real_numbers
Choose your method...
Regards,
Quentin Anciaux
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