Date: Nov 16, 2012 11:48 AM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: Matheology § 152

On 16 Nov., 16:13, "LudovicoVan" <ju...@diegidio.name> wrote:
> "WM" <mueck...@rz.fh-augsburg.de> wrote in message
>
> news:99101a42-d1ac-4b5e-94f9-23536fc64c89@d3g2000vbj.googlegroups.com...
>
>
>
>
>

> > On 16 Nov., 13:58, William Hughes <wpihug...@gmail.com> wrote:
> >> On Nov 16, 5:46 am, WM <mueck...@rz.fh-augsburg.de> wrote:
>
> >> > 1.  WM    Profil anzeigen   bersetzen in die Sprache:
> >> > Deutsch bersetzt (Original anzeigen)
> >> >   Weitere Optionen 16 Nov., 10:35

>
> >> > Newsgroups: sci.logic, sci.math
> >> > Von: WM <mueck...@rz.fh-augsburg.de>
> >> > Datum: Fri, 16 Nov 2012 01:35:48 -0800 (PST)
> >> > Lokal: Fr. 16 Nov. 2012 10:35
> >> > Betreff: Matheology 152
> >> > Antworten | Antwort an Autor | Weiterleiten | Drucken | Einzelne
> >> > Nachricht | Original anzeigen | Entfernen | Diese Nachricht melden |
> >> > Nachrichten dieses Autors suchen
> >> > Matheology 152

>
> >> > Consider the following sequence of decimal numbers, consisting of
> >> > digits 0 and 1

>
> >> > 01.
> >> > 0.1
> >> > 010.1
> >> > 01.01
> >> > 0101.01
> >> > 010.101
> >> > 01010.101
> >> > 0101.0101
> >> > ...

>
> >> > which, when indexed by natural numbers, yilooks like this:
>
> >> > 0_2 1_1 .
> >> > 0_2 . 1_1
> >> > 0_4 1_3 0_2 . 1_1
> >> > 0_4 1_3 . 0_2 1_1
> >> > 0_6 1_5 0_4 1_3 . 0_2 1_1
> >> > 0_6 1_5 0_4 . 1_3 0_2 1_1
> >> > 0_8 1_7 0_6 1_5 0_4 . 1_3 0_2 1_1
> >> > 0_8 1_7 0_6 1_5 . 0_4 1_3 0_2 1_1
> >> > ...

>
> >> > What is the limit of the sequence of the sets of indexes on the left
> >> > hand side?

>
> >> A set.
>
> > The empty set.
>
> Wrong: and you even agree that it is wrong.


Of course it is wrong, but it is a necessary requirement of set
theory.

Regards, WM