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

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LudovicoVan

Posts: 4,162
From: London
Registered: 2/8/08
Re: Matheology § 062
Posted: Jul 9, 2012 9:01 AM
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"William Hughes" <wpihughes@gmail.com> wrote in message
news:8e6b1fd9-5595-49d1-b8da-4486b5ad447a@w6g2000yqg.googlegroups.com...
> On Jul 8, 8:47 pm, William Hughes <wpihug...@gmail.com> wrote:
>> On Jul 8, 8:19 pm, "LudovicoVan" <ju...@diegidio.name> wrote:
>> <snip>
>>

>> > > The vase is empty to begin with at time t=-2
>> > > Steps in the process at time -1/n, n in N
>> > > the ball labeled n is taken from the vase
>> > > the balls labeled 10(n-1) through 10n are added to the vase.

>>
>> > > There are no other steps. Except as described above nothing
>> > > is added to or removed from the vase.
>> > > (in particular there is no step w)

>>
>> > > Let the set of balls in the vase at time t>=-2 be
>> > > X_t={ball_n | ball_n is added at some time t_1<=t and
>> > > ball_n is not removed at any time t_2<=t}

>>
>> > You n there cannot be standard.
>>
>> Why not? Balls are only added at steps -1/n, n in N
>> so there are no nonstandard balls added. If you prefer
>>
>> X_t={ball_n | n in N, ball_n is added at some time t_1<=t and
>> ball_n is not removed at any time t_2<=t}
>>

>> > > for t in [1,0) X_t is not empty
>> > > for t = 0 X_t is empty.

>>
>> > You claim so but you I see no proof of it.
>>
>> Since if t=0, there is no n in N such that
>> ball_n is not removed at any time t_2<=t,
>> it follows that X_t is empty.

>
> Indeed, you should note that the X_t as defined above are
> well defined sets of integers for every time t. So the only
> question is whether or not X_t represents the set of balls in
> the vase for every time t, in particular at t=0. However,
> "a ball is in the vase at time t
> iff it is added before or at time t and it is not removed before
> or at time t" leads directly to the set of balls in the vase
> at time t being X_t.


It doesn't, it cannot: anyway I'll try and go through your argument later
tonight. Not that you have made it any easy as I'll have to flesh out
myself the relations for time, steps, balls, labels, etc. Never mind, a
good exercise...

-LV




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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