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Topic: Matheology § 062
Replies: 181   Last Post: Jul 14, 2012 1:48 PM

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William Hughes

Posts: 1,815
Registered: 12/7/10
Re: Matheology § 062
Posted: Jul 14, 2012 12:12 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Jul 12, 11:16 pm, "LudovicoVan" <ju...@diegidio.name> wrote:
> "LudovicoVan" <ju...@diegidio.name> wrote in message
>
> news:jtftlb$ala$1@speranza.aioe.org...
>
>
>
>
>
>
>
>
>

> > "LudovicoVan" <ju...@diegidio.name> wrote in message
> >news:jtftcf$a23$1@speranza.aioe.org...

> >> "William Hughes" <wpihug...@gmail.com> wrote in message
> >>news:abd1cfc8-e1de-4504-bd7f-bac8fa5efc7a@h9g2000yqi.googlegroups.com...
> >> <snip>

>
> >>>  Balls only enter the vase at a step
> >>>     from the statement of the problem

>
> >>>  The only steps are  n in N
> >>>     from the statement of the problem

>
> >>>  At every step n in N, the only balls that
> >>>  enter the vase are labeled 1+10(n-1) to 10n
> >>>      from the statement of the problem

>
> >> The statement of the problem talks about an "infinite supply of balls",
> >> which justifies a broader approach in terms of ordinals (and the
> >> distinction balls vs. finite/non-finite labels).  Anyway, I am not any
> >> good at arithmetic with ordinals, so here it is over N, i.e. your
> >> setting. Of course, the "structure" we get is not as reach as that given
> >> by ordinals and we can only conclude that the limit set is countably
> >> infinite.  (My apologies for any trivial mistakes.)

>
> >> Let N be the set of balls (w.l.o.g. as each ball is uniquely labeled by a
> >> natural number here).

>
> >> Let n, m in N.
>
> >> Let V(n) be the vase at step n, defined by the rules of the game as:
>
> >> V(0) := { }
> >> V(n) := V(n-1) U { m | 10n-9 <= m <= 10n } \ { m | m = n }

>
> >> Let V(w) be the limit set (the vase at time 0), defined as: V(w) :=
> >> U_{n<w}.

>
> > Should read: V(w) := U_{n<w} V(n).
>
> Also, should be: the vase at time t->0.


Where in the world do you get V(w) := U_{n<w} V(n)?
This is an extremely silly definition of a limit.
[Also note that trivially U_{n<w} V(n) = N\{1}]



Date Subject Author
7/7/12
Read Matheology § 062
mueckenh@rz.fh-augsburg.de
7/7/12
Read Re: Matheology § 062
FredJeffries@gmail.com
7/7/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
William Hughes
7/8/12
Read Re: Matheology � 062
Virgil
7/8/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/8/12
Read Re: Matheology � 062
Virgil
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
William Hughes
7/8/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/8/12
Read Re: Matheology � 062
Virgil
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology � 062
Virgil
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology � 062
Virgil
7/8/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology § 062
William Hughes
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
William Hughes
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology § 062
William Hughes
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
William Hughes
7/10/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/10/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/10/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/10/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
Gus Gassmann
7/10/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/10/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
LudovicoVan
7/10/12
Read Re: Matheology § 062
William Hughes
7/10/12
Read Re: Matheology § 062
LudovicoVan
7/10/12
Read Re: Matheology § 062
William Hughes
7/10/12
Read Re: Matheology § 062
Jim Burns
7/10/12
Read Re: Matheology § 062
LudovicoVan
7/10/12
Read Re: Matheology § 062
Gus Gassmann
7/10/12
Read Re: Matheology § 062
LudovicoVan
7/10/12
Read Re: Matheology § 062
Gus Gassmann
7/10/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/10/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
Gus Gassmann
7/10/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/10/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
Gus Gassmann
7/11/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
Gus Gassmann
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology § 062
Gus Gassmann
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/11/12
Read Re: Matheology § 062
LudovicoVan
7/11/12
Read Re: Matheology � 062
Virgil
7/12/12
Read Re: Matheology § 062
Gus Gassmann
7/12/12
Read Re: Matheology § 062
LudovicoVan
7/12/12
Read Re: Matheology § 062
William Hughes
7/12/12
Read Re: Matheology § 062
LudovicoVan
7/12/12
Read Re: Matheology � 062
Virgil
7/12/12
Read Re: Matheology � 062
Virgil
7/12/12
Read Re: Matheology § 062
William Hughes
7/12/12
Read Re: Matheology § 062
Gus Gassmann
7/12/12
Read Re: Matheology § 062
LudovicoVan
7/12/12
Read Re: Matheology § 062
Gus Gassmann
7/12/12
Read Re: Matheology § 062
LudovicoVan
7/12/12
Read Re: Matheology � 062
Virgil
7/12/12
Read Re: Matheology � 062
Virgil
7/12/12
Read Re: Matheology § 062
William Hughes
7/12/12
Read Re: Matheology � 062
Virgil
7/12/12
Read Re: Matheology § 062
Gus Gassmann
7/12/12
Read Re: Matheology � 062
Virgil
7/12/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/12/12
Read Re: Matheology � 062
Virgil
7/12/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/12/12
Read Re: Matheology � 062
Virgil
7/13/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/13/12
Read Re: Matheology § 062
Marshall
7/13/12
Read Re: Matheology � 062
Virgil
7/13/12
Read Re: Matheology � 062
Virgil
7/13/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/13/12
Read Re: Matheology � 062
Virgil
7/13/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/13/12
Read Re: Matheology � 062
Virgil
7/13/12
Read Re: Matheology § 062
LudovicoVan
7/13/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
YBM
7/11/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/11/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
YBM
7/11/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/11/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/10/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
Gus Gassmann
7/10/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/10/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/10/12
Read Re: Matheology � 062
Virgil
7/12/12
Read Re: Matheology § 062
LudovicoVan
7/14/12
Read Re: Matheology § 062
LudovicoVan
7/14/12
Read Re: Matheology § 062
LudovicoVan
7/14/12
Read Re: Matheology § 062
William Hughes
7/14/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/10/12
Read Re: Matheology § 062
Ralf Bader
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
William Hughes
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
William Hughes
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
William Hughes
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
William Hughes
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
William Hughes
7/8/12
Read Re: Matheology § 062
William Hughes
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/8/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/9/12
Read Re: Matheology § 062
LudovicoVan
7/9/12
Read Re: Matheology � 062
Virgil
7/8/12
Read Re: Matheology § 062
mueckenh@rz.fh-augsburg.de
7/8/12
Read Re: Matheology � 062
Virgil
7/7/12
Read Re: Matheology � 062
Virgil
7/8/12
Read Re: Matheology § 062
Graham Cooper
7/9/12
Read Re: Matheology § 062
Sam Gusset

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