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Topic: Matheology § 285
Replies: 84   Last Post: Jun 15, 2013 6:05 PM

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Tucsondrew@me.com

Posts: 629
Registered: 5/24/13
Re: Matheology § 285
Posted: Jun 12, 2013 12:03 PM
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On Wednesday, June 12, 2013 6:49:12 AM UTC-7, muec...@rz.fh-augsburg.de wrote:
> On Wednesday, 12 June 2013 00:03:13 UTC+2, Virgil wrote:
>
>
>

> > to enumerate the rationals, that ennumeration goes on not only up to but also past every n.
>
>
>
> You claim that induction shows that the rationals can be enumerated? No problem. See below.
>
>
>

> > First you must show us your claimed well-ordering by magnitude of the negative integer rationals.
>
>
>
> So if you want to enumerate *all* rationals, you first must enumerate the integers. You are great! Really!
>
>
>

> > If you cannot even do that then you will fail with any superset of all rationals.
>
>
>
> Induction shows that the rationals can be well-ordered by size. For every well-orderable-by-size
>
> configuration n: {q_1, q_2, ..., q_n}
>
> there is the well-orderable-by-size
>
> configuration n+1: {q_1, q_2, ..., q_n+1}.
>
> And there is no rational q_n in the complete list of all rationals that lacks a natural number n or lacks a place in the well-orderable-by-size configurations from n to every desired number.
>


No Induction over the Naturals shows:

For all n e N, if P c Q and |P| = n,
then P can be well ordered.

>
> Regards, WM


ZG


Date Subject Author
6/11/13
Read Matheology § 285
mueckenh@rz.fh-augsburg.de
6/11/13
Read Re: Matheology � 285
Virgil
6/11/13
Read Re: Matheology § 285
JT
6/11/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/11/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/11/13
Read Re: Matheology � 285
Virgil
6/11/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/11/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/11/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/11/13
Read Re: Matheology � 285
Virgil
6/12/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/12/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/12/13
Read Re: Matheology � 285
Virgil
6/11/13
Read Re: Matheology § 285
Ralf Bader
6/11/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/11/13
Read Re: Matheology � 285
Virgil
6/12/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/12/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/12/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/12/13
Read Re: Matheology � 285
Virgil
6/12/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/13/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/13/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/14/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/14/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/14/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/15/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/15/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/15/13
Read Re: Matheology � 285
Virgil
6/15/13
Read Re: Matheology � 285
Tanu R.
6/15/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/15/13
Read Re: Matheology � 285
Virgil
6/15/13
Read Re: Matheology � 285
Virgil
6/14/13
Read Re: Matheology � 285
Virgil
6/13/13
Read Re: Matheology � 285
Virgil
6/12/13
Read Re: Matheology � 285
Virgil
6/12/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/12/13
Read Re: Matheology � 285
Virgil
6/12/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/12/13
Read Re: Matheology � 285
Virgil
6/13/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/13/13
Read Re: Matheology � 285
Virgil
6/11/13
Read Re: Matheology § 285
Virgil
6/12/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/12/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/12/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/12/13
Read Re: WMytheology ???
Virgil
6/12/13
Read Re: WMytheology ???
Scott Berg
6/12/13
Read Re: WMytheology ???
Virgil
6/12/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/13/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/13/13
Read Re: Matheology § 285
Virgil
6/12/13
Read Re: Matheology § 285
Virgil
6/12/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/12/13
Read Re: Matheology � 285
Virgil
6/11/13
Read Re: Matheology § 285
LudovicoVan
6/11/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/11/13
Read Re: Matheology § 285
LudovicoVan
6/11/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/11/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/11/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/12/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/12/13
Read Re: Matheology � 285
Virgil
6/12/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/12/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/12/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/12/13
Read Re:Outside the wild weird world of WMytheology
Virgil
6/12/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/12/13
Read Re: Matheology � 285
Virgil
6/12/13
Read Re: Matheology � 285
Virgil
6/13/13
Read Re: Matheology § 285
mueckenh@rz.fh-augsburg.de
6/13/13
Read Re: Matheology � 285
Virgil
6/12/13
Read Re: Matheology � 285
Virgil
6/11/13
Read Re: Matheology § 285
LudovicoVan
6/11/13
Read Re: Matheology � 285
Virgil
6/11/13
Read Re: Matheology � 285
Tanu R.
6/11/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/11/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/11/13
Read Re: Matheology § 285
Tucsondrew@me.com
6/11/13
Read Re: Matheology � 285
Virgil
6/11/13
Read Re: Matheology � 285
Tanu R.
6/11/13
Read Re: Matheology ? 285
Virgil
6/11/13
Read Re: Matheology ? 285
Tanu R.

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