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Topic: Matheology § 074
Replies: 114   Last Post: Jul 22, 2012 4:15 PM

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 mueckenh@rz.fh-augsburg.de Posts: 18,076 Registered: 1/29/05
Re: WM's WMatheology § 074
Posted: Jul 19, 2012 3:14 AM

On 19 Jul., 02:58, Virgil <vir...@ligriv.com> wrote:
> In article
>
>  WM <mueck...@rz.fh-augsburg.de> wrote:

> > On 18 Jul., 21:53, Virgil <vir...@ligriv.com> wrote:
> > > In article
>
> > > The Lim-Sup and Lim-Inf definitions depend only on the existence of a
> > > sequence of sets, which is what the Vase problem provides.

>
> > Simultaneously, also the approximations of the continiued fraction
> > ((((((10^0)/10)+10^1)/10)+10^2)/10)+...
> > happen to provide the same sequence of sets.

>
> Nonsense! None of those  approximations are sets at all, but merely
> rational numbers.

You can read them as natural numbers. But if not?
>
>
>

> > Does set theory provide the value of the continued fraction?
>
> No more than continued fractions provide set limits.
>
> Only someone as ditzy as WM would conflate those two types of sequences.

And what is this sequence?

0 1
0 . 1
0 1 0 . 1
0 1 . 0 1
0 1 0 1 . 0 1
0 1 0 . 1 0 1
a n d s o o o o o n

Is it a sequence of sets or of real numbers?

Regards, WM

Date Subject Author
7/13/12 mueckenh@rz.fh-augsburg.de
7/13/12 MoeBlee
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7/14/12 dilettante
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7/14/12 mueckenh@rz.fh-augsburg.de
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