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Topic: Matheology § 152
Replies: 53   Last Post: Nov 19, 2012 4:49 PM

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 Uirgil Posts: 185 Registered: 4/18/12
Re: Matheology � 152
Posted: Nov 17, 2012 1:05 PM

In article
William Hughes <wpihughes@gmail.com> wrote:

> On Nov 17, 9:59 am, "LudovicoVan" <ju...@diegidio.name> wrote:
> > "William Hughes" <wpihug...@gmail.com> wrote in message
> >
> >

> > > Note that *set* limits have some important properties.
> >
> > > Given a sequence of sets {B_1,B_2,B_3,...}
> > > then the set limit always exists (it
> > > may be the empty set).

> >
> > > If we have
> >
> > > A = set limit {B_1,B_2,B_3....}
> >
> > > Then
> >
> > >     A is a set
> > >     A cannot contain an element that is not contained
> > >       in any of the B's

> >
> > Williams going around, in circles:
> >
> > It was already mentioned that it is wrong to use that specific definition to
> > solve the balls and vase problem.
> >
> > <http://en.wikipedia.org/wiki/Limit_superior_and_limit_inferior#Specia...>
> >

>
>
> The problem is the above applies to *any* definition of a *set* limit.

And, at least as far as I know, EVERY such definition.

Date Subject Author
11/16/12 mueckenh@rz.fh-augsburg.de
11/16/12 William Hughes
11/16/12 mueckenh@rz.fh-augsburg.de
11/16/12 LudovicoVan
11/16/12 mueckenh@rz.fh-augsburg.de
11/16/12 Uirgil
11/16/12 mueckenh@rz.fh-augsburg.de
11/16/12 LudovicoVan
11/16/12 Uirgil
11/16/12 William Hughes
11/16/12 Uirgil
11/17/12 mueckenh@rz.fh-augsburg.de
11/17/12 LudovicoVan
11/17/12 LudovicoVan
11/17/12 Uirgil
11/17/12 mueckenh@rz.fh-augsburg.de
11/17/12 Uirgil
11/17/12 mueckenh@rz.fh-augsburg.de
11/17/12 LudovicoVan
11/17/12 William Hughes
11/17/12 trj
11/17/12 LudovicoVan
11/17/12 William Hughes
11/17/12 LudovicoVan
11/17/12 Uirgil
11/17/12 LudovicoVan
11/17/12 Uirgil
11/17/12 William Hughes
11/17/12 mueckenh@rz.fh-augsburg.de
11/17/12 William Hughes
11/18/12 mueckenh@rz.fh-augsburg.de
11/18/12 William Hughes
11/18/12 mueckenh@rz.fh-augsburg.de
11/18/12 William Hughes
11/18/12 mueckenh@rz.fh-augsburg.de
11/18/12 William Hughes
11/18/12 mueckenh@rz.fh-augsburg.de
11/18/12 Vurgil
11/18/12 Vurgil
11/18/12 Vurgil
11/19/12 mueckenh@rz.fh-augsburg.de
11/19/12 Vurgil
11/18/12 Vurgil
11/19/12 mueckenh@rz.fh-augsburg.de
11/19/12 Vurgil
11/17/12 Uirgil
11/17/12 Uirgil
11/17/12 trj
11/17/12 Uirgil
11/17/12 Uirgil
11/17/12 mueckenh@rz.fh-augsburg.de
11/17/12 Virgil
11/18/12 gus gassmann