Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.

Replies: 306   Last Post: Aug 13, 2011 6:32 PM

 Messages: [ Previous | Next ]
 mueckenh@rz.fh-augsburg.de Posts: 12,782 Registered: 1/29/05
Re: Balls and vase dyslexia
Posted: Jul 20, 2011 4:06 PM

On 20 Jul., 21:52, Gus Gassmann <horand.gassm...@googlemail.com>
wrote:
> On Jul 20, 2:48 pm, MoeBlee <modem...@gmail.com> wrote:

> > How are we defining 'continuous' in this context?
>
> lim card(B_k) = card (lim B_k), where the latter lim has to be defined
> suitably, for instance as a union.
>

> > > and does not commute with his limit
> > > operator.

>
> > Limit in this context is just union.

Correct.
>
> > What is the incorrect commutation he insists on?
>
> I am sure he is eventually going to tell you this himself, in his own
> way, but he thinks that
>
> 0 = lim card(B_k) = card (lim B_k) = 2^aleph_0-

You can see that Gus has no the least knowledge about our discussion.
card(lim B_k) = aleph_0. That was never in question.
And card B_k = k, so lim card(B_k) = lim k = aleph_0 too.

But in some problems it is in fact not like set theorists (he is
nothing of that kind) think. Here you can see an example:

Consider the continued-fraction-like sequence

((((((10^0)/10)+10^1)/10)+10^2)/10)+...

The first approximations are

1
0,1
10,1
1,01
101,01
10,101
1010,101
101,0101
...

This sequence does not converge in mathematics. But in set theory the
limit is 10/99 or less, because for every digit we can determine when
it will disappear behind the decimal point.

Regards, WM

Date Subject Author
7/2/11 Guest
7/3/11 mueckenh@rz.fh-augsburg.de
7/3/11 Guest
7/3/11 mueckenh@rz.fh-augsburg.de
7/3/11 Virgil
7/4/11 mueckenh@rz.fh-augsburg.de
7/4/11 David Yen
7/4/11 Virgil
7/4/11 mueckenh@rz.fh-augsburg.de
7/4/11 Virgil
7/5/11 mueckenh@rz.fh-augsburg.de
7/5/11 Virgil
7/5/11 mueckenh@rz.fh-augsburg.de
7/5/11 Virgil
7/6/11 Tony Orlow
7/6/11 MoeBlee
7/6/11 Tony Orlow
7/6/11 Virgil
7/4/11 David Yen
7/5/11 David Yen
7/5/11 David Yen
7/7/11 David Yen
7/15/11 David Yen
7/17/11 David Yen
7/22/11 David Yen
7/24/11 David Yen
7/26/11 David Yen
7/26/11 David Yen
7/26/11 David Yen
7/27/11 David Yen
7/27/11 David Yen
7/28/11 David Yen
7/15/11 David Yen
7/6/11 Tony Orlow
7/6/11 MoeBlee
7/9/11 Tony Orlow
7/9/11 Marshall
7/10/11 MoeBlee
7/11/11 Tony Orlow
7/11/11 Virgil
7/11/11 Tony Orlow
7/11/11 Marshall
7/11/11 Tony Orlow
7/11/11 Brian Chandler
7/11/11 Tony Orlow
7/11/11 Marshall
7/11/11 Tony Orlow
7/11/11 MoeBlee
7/11/11 K_h
7/11/11 Tony Orlow
7/12/11 K_h
7/12/11 mueckenh@rz.fh-augsburg.de
7/12/11 Virgil
7/13/11 Tony Orlow
7/13/11 Virgil
7/12/11 mueckenh@rz.fh-augsburg.de
7/12/11 Virgil
7/11/11 Marshall
7/11/11 Marshall
7/11/11 Marshall
7/11/11 Tony Orlow
7/11/11 Marshall
7/11/11 Tony Orlow
7/12/11 Marshall
7/11/11 Brian Chandler
7/11/11 Tony Orlow
7/11/11 Tony Orlow
7/11/11 Marshall
7/11/11 Tony Orlow
7/12/11 Marshall
7/13/11 Tony Orlow
7/13/11 Virgil
7/12/11 Brian Chandler
7/13/11 Tony Orlow
7/13/11 Virgil
7/11/11 FredJeffries@gmail.com
7/11/11 Frederick Williams
7/11/11 Tony Orlow
7/11/11 Tony Orlow
7/11/11 Tony Orlow
7/11/11 Marshall
7/11/11 MoeBlee
7/11/11 Tony Orlow
7/12/11 MoeBlee
7/11/11 Marshall
7/11/11 Tony Orlow
7/11/11 Marshall
7/11/11 Tony Orlow
7/11/11 Marshall
7/11/11 Tony Orlow
7/11/11 Marshall
7/11/11 Tony Orlow
7/12/11 Marshall
7/13/11 Tony Orlow
7/13/11 Virgil
7/15/11 Tony Orlow
7/13/11 Marshall
7/15/11 Tony Orlow
7/15/11 MoeBlee
7/15/11 mueckenh@rz.fh-augsburg.de
7/15/11 Virgil
7/15/11 mueckenh@rz.fh-augsburg.de
7/15/11 Virgil
7/13/11 K_h
7/11/11 Virgil
7/12/11 george
7/13/11 Tony Orlow
7/13/11 Virgil
7/15/11 Tony Orlow
8/11/11 george
8/11/11 mueckenh@rz.fh-augsburg.de
8/12/11 SPQR
8/13/11 mueckenh@rz.fh-augsburg.de
8/13/11 Virgil
8/13/11 mueckenh@rz.fh-augsburg.de
8/13/11 Virgil
8/11/11 george
8/11/11 mueckenh@rz.fh-augsburg.de
8/12/11 Virgil
7/11/11 LudovicoVan
7/11/11 Marshall
7/11/11 LudovicoVan
7/12/11 Marshall
7/11/11 Virgil
7/12/11 LudovicoVan
7/12/11 Virgil
7/13/11 mueckenh@rz.fh-augsburg.de
7/13/11 Virgil
7/14/11 mueckenh@rz.fh-augsburg.de
7/14/11 MoeBlee
7/14/11 mueckenh@rz.fh-augsburg.de
7/14/11 MoeBlee
7/14/11 mueckenh@rz.fh-augsburg.de
7/14/11 MoeBlee
7/15/11 mueckenh@rz.fh-augsburg.de
7/15/11 MoeBlee
7/15/11 mueckenh@rz.fh-augsburg.de
7/15/11 Virgil
7/15/11 mueckenh@rz.fh-augsburg.de
7/15/11 Virgil
7/16/11 mueckenh@rz.fh-augsburg.de
7/16/11 Virgil
7/16/11 mueckenh@rz.fh-augsburg.de
7/16/11 Virgil
7/15/11 Virgil
7/15/11 mueckenh@rz.fh-augsburg.de
7/15/11 MoeBlee
7/15/11 MoeBlee
7/16/11 mueckenh@rz.fh-augsburg.de
7/16/11 Virgil
7/16/11 mueckenh@rz.fh-augsburg.de
7/16/11 Virgil
7/15/11 Virgil
7/16/11 mueckenh@rz.fh-augsburg.de
7/16/11 Virgil
7/14/11 Virgil
7/14/11 Newberry
7/15/11 mueckenh@rz.fh-augsburg.de
7/15/11 Newberry
7/15/11 mueckenh@rz.fh-augsburg.de
7/15/11 dan.ms.chaos@gmail.com
7/15/11 mueckenh@rz.fh-augsburg.de
7/15/11 MoeBlee
7/15/11 mueckenh@rz.fh-augsburg.de
7/15/11 MoeBlee
7/15/11 mueckenh@rz.fh-augsburg.de
7/15/11 MoeBlee
7/16/11 mueckenh@rz.fh-augsburg.de
7/16/11 MoeBlee
7/16/11 MoeBlee
7/17/11 mueckenh@rz.fh-augsburg.de
7/17/11 Virgil
7/17/11 MoeBlee
7/17/11 mueckenh@rz.fh-augsburg.de
7/17/11 Virgil
7/18/11 mueckenh@rz.fh-augsburg.de
7/18/11 MoeBlee
7/18/11 mueckenh@rz.fh-augsburg.de
7/18/11 MoeBlee
7/18/11 David Yen
7/18/11 mueckenh@rz.fh-augsburg.de
7/18/11 MoeBlee
7/18/11 mueckenh@rz.fh-augsburg.de
7/18/11 MoeBlee
7/18/11 MoeBlee
7/19/11 mueckenh@rz.fh-augsburg.de
7/19/11 MoeBlee
7/19/11 MoeBlee
7/19/11 MoeBlee
7/19/11 mueckenh@rz.fh-augsburg.de
7/19/11 mueckenh@rz.fh-augsburg.de
7/19/11 MoeBlee
7/20/11 mueckenh@rz.fh-augsburg.de
7/20/11 tommyrjensen@gmail.com
7/20/11 MoeBlee
7/20/11 MoeBlee
7/20/11 mueckenh@rz.fh-augsburg.de
7/20/11 Virgil
7/21/11 mueckenh@rz.fh-augsburg.de
7/21/11 Virgil
7/20/11 MoeBlee
7/20/11 MoeBlee
7/20/11 mueckenh@rz.fh-augsburg.de
7/20/11 Virgil
7/20/11 MoeBlee
7/20/11 mueckenh@rz.fh-augsburg.de
7/20/11 Virgil
7/21/11 mueckenh@rz.fh-augsburg.de
7/21/11 Virgil
7/21/11 mueckenh@rz.fh-augsburg.de
7/21/11 tommyrjensen@gmail.com
7/21/11 MoeBlee
7/21/11 mueckenh@rz.fh-augsburg.de
7/21/11 MoeBlee
7/22/11 mueckenh@rz.fh-augsburg.de
7/22/11 Virgil
7/22/11 MoeBlee
7/21/11 Virgil
7/21/11 Virgil
7/22/11 mueckenh@rz.fh-augsburg.de
7/22/11 Virgil
7/20/11 Virgil
7/19/11 mueckenh@rz.fh-augsburg.de
7/19/11 MoeBlee
7/20/11 mueckenh@rz.fh-augsburg.de
7/20/11 MoeBlee
7/20/11 mueckenh@rz.fh-augsburg.de
7/20/11 MoeBlee
7/20/11 mueckenh@rz.fh-augsburg.de
7/20/11 Virgil
7/20/11 Virgil
7/20/11 Virgil
7/19/11 Virgil
7/19/11 Virgil
7/20/11 mueckenh@rz.fh-augsburg.de
7/20/11 Virgil
7/18/11 Virgil
7/19/11 mueckenh@rz.fh-augsburg.de
7/19/11 Virgil
7/18/11 Virgil
7/18/11 Virgil
7/18/11 MoeBlee
7/18/11 Virgil
7/19/11 MoeBlee
7/18/11 Virgil
7/18/11 mueckenh@rz.fh-augsburg.de
7/18/11 Virgil
7/19/11 mueckenh@rz.fh-augsburg.de
7/19/11 Virgil
7/16/11 Virgil
7/16/11 mueckenh@rz.fh-augsburg.de
7/16/11 Virgil
7/17/11 MoeBlee
7/17/11 mueckenh@rz.fh-augsburg.de
7/16/11 MoeBlee
7/15/11 Virgil
7/16/11 mueckenh@rz.fh-augsburg.de
7/16/11 Virgil
7/16/11 mueckenh@rz.fh-augsburg.de
7/16/11 Virgil
7/17/11 mueckenh@rz.fh-augsburg.de
7/17/11 Virgil
7/17/11 mueckenh@rz.fh-augsburg.de
7/17/11 Virgil
7/15/11 Virgil
7/15/11 Virgil
7/15/11 Virgil
7/14/11 Virgil
7/14/11 Virgil
7/15/11 mueckenh@rz.fh-augsburg.de
7/15/11 Virgil
7/14/11 Virgil
7/15/11 mueckenh@rz.fh-augsburg.de
7/15/11 Virgil
7/12/11 Tony Orlow
7/13/11 Virgil
7/15/11 Tony Orlow
7/13/11 Brian Chandler
7/13/11 mueckenh@rz.fh-augsburg.de
7/13/11 dan.ms.chaos@gmail.com
7/13/11 mueckenh@rz.fh-augsburg.de
7/13/11 Virgil
7/13/11 Virgil
7/13/11 mueckenh@rz.fh-augsburg.de
7/13/11 Virgil
7/11/11 MoeBlee
7/11/11 Tony Orlow
7/12/11 MoeBlee
7/13/11 Tony Orlow
7/13/11 Virgil
7/15/11 Tony Orlow
7/13/11 MoeBlee
7/13/11 K_h
7/13/11 mueckenh@rz.fh-augsburg.de
7/13/11 Virgil
7/14/11 K_h
7/15/11 mueckenh@rz.fh-augsburg.de
7/15/11 Virgil
7/6/11 MoeBlee
7/6/11 MoeBlee
7/6/11 mueckenh@rz.fh-augsburg.de
7/6/11 MoeBlee
7/6/11 Virgil