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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 1:09 PM

In article <k88h5n\$eeo\$1@dont-email.me>,
"LudovicoVan" <julio@diegidio.name> wrote:

> "William Hughes" <wpihughes@gmail.com> wrote in message

> > 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#Special_cas
> >> e:_discrete_metric>

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

>
> But those definitions are a *specific* case of these:
>
> <http://en.wikipedia.org/wiki/Limit_superior_and_limit_inferior#Sequences_of_s
> ets>
>
> I sometimes wonder which planet you come from.

Irrelevant Ad Hom noted!

Actually, William HUghes' "definition" is quite carefully non-specific,
and while it certainly includes both a lim_sups and a lim_infs, is in no
way limiter to only those.

So that, as usual, LV has things inverted.

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