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Re: The Distinguishability argument of the Reals.
Posted:
Jan 5, 2013 7:35 PM
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On Jan 4, 10:20 pm, Virgil <vir...@ligriv.com> wrote:
> In article
> <7850ae29-08d9-49ef-8c7b-e8979e037...@m4g2000pbd.googlegroups.com>,
> "Ross A. Finlayson" <ross.finlay...@gmail.com> wrote:
>
> > Consider the function that is the limit of functions f(n,d) = n/d, n =
> > 0, ..., d; n, d E N.
>
> You mean the zero function?
>
> For every n, the limit of f(n,d) as d -> oo is 0, so your limit function
> would have to be the zero function: f(n,oo) = 0 for all n.
> --
No, none of those is the zero function, and each d->oo has it so that
d/d = 1.
Here the range of the elements are defined by their constant monotone
difference, the sum of which, is one.
This is a way to define real numbers, between zero and one, as:
between zero and one.
Simply enough divide how many integers you can count by how many there
are, it ranges from zero to one.
Regards,
Ross Finlayson
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