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

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Virgil

Posts: 9,012
Registered: 1/6/11
Re: Matheology � 285
Posted: Jun 11, 2013 5:30 PM
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In article <c5bb02d5-fd32-4b10-a052-e61af7d4d02e@googlegroups.com>,
mueckenh@rz.fh-augsburg.de wrote:

> On Tuesday, 11 June 2013 19:18:34 UTC+2, Julio Di Egidio wrote:
>

> > > Therefore it is not possible to enumerate all rational numbers > (always
> > > infinitely many remain) by all natural numbers (always > infinitely many
> > > remain) or to traverse the lines of a Cantor list (always > infinitely
> > > many remain).

>
> > It is not possible to do so effectively... Julio
>
> It is only possible by applying the axiom of infinity.


Surjecting the naturals onto the rationals is usually done by formula,
of which formulae many are already known.

The existence of such surjections can also be proved by injecting the
rationals into the naturals, which is even easier.
--




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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