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Topic: Matheology § 038
Replies: 94   Last Post: Jun 19, 2012 12:56 PM

 Messages: [ Previous | Next ]
 mueckenh@rz.fh-augsburg.de Posts: 18,076 Registered: 1/29/05
Re: Matheology § 038
Posted: Jun 14, 2012 4:46 PM

On 14 Jun., 22:06, Uergil <Uer...@uer.net> wrote:
> In article
>
>  WM <mueck...@rz.fh-augsburg.de> wrote:

> > On 14 Jun., 13:56, Gus Gassmann
>
> > > lim(int f_n) =/= int(lim f_n).
>
> > > Ask him to reconcile that with his world view.
>
> > Don't forget, there is one important exception:
>
> > lim(card(q_1, q_2, q_3, ..., q_n)) = card(lim(q_1, q_2, q_3, ...,
> > q_n))

>
> Whether 'card(q_1, q_2, q_3, ..., q_n)'
> or 'lim(q_1, q_2, q_3, ...,q_n)'
> even exist depends on what the q_1, q_2, q_3, ...,q_n are,
> and I see no reason to suppose that they must both exist or both
> non-exist for the sane set of q_i.
>
> So it requires a proof, which is not provided, even to claim that WM's
> proposed equation makes any sense at all.

That proof is required but not given. Nevertheless Cantor "counts" the
rational numbers by equating
lim(card(q_1, q_2, q_3, ..., q_n)) = card(lim(q_1, q_2, q_3, ...,
q_n))

card(q_1, q_2, q_3, ..., q_n) = n
lim n = aleph_0
lim(q_1, q_2, q_3, ..., q_n) = |Q
card(|Q) is something, but certainly not aleph_0.

Regards, WM

Date Subject Author
6/14/12 mueckenh@rz.fh-augsburg.de
6/14/12 Uergil
6/14/12 mueckenh@rz.fh-augsburg.de
6/14/12 Uergil
6/14/12 Jürgen R.
6/14/12 mueckenh@rz.fh-augsburg.de
6/14/12 Jürgen R.
6/14/12 mueckenh@rz.fh-augsburg.de
6/14/12 Uergil
6/14/12 mueckenh@rz.fh-augsburg.de
6/14/12 Ki Song
6/14/12 Virgil
6/15/12 mueckenh@rz.fh-augsburg.de
6/15/12 Virgil
6/15/12 mueckenh@rz.fh-augsburg.de
6/15/12 Virgil
6/16/12 mueckenh@rz.fh-augsburg.de
6/16/12 Virgil
6/15/12 mueckenh@rz.fh-augsburg.de
6/15/12 Virgil
6/15/12 Ki Song
6/15/12 mueckenh@rz.fh-augsburg.de
6/15/12 Ki Song
6/15/12 mueckenh@rz.fh-augsburg.de
6/15/12 Ki Song
6/16/12 mueckenh@rz.fh-augsburg.de
6/16/12 Ki Song
6/16/12 mueckenh@rz.fh-augsburg.de
6/16/12 Ki Song
6/17/12 mueckenh@rz.fh-augsburg.de
6/17/12 Ki Song
6/17/12 mueckenh@rz.fh-augsburg.de
6/17/12 Ki Song
6/18/12 mueckenh@rz.fh-augsburg.de
6/18/12 Jürgen R.
6/18/12 mueckenh@rz.fh-augsburg.de
6/18/12 Jürgen R.
6/18/12 mueckenh@rz.fh-augsburg.de
6/18/12 Jürgen R.
6/18/12 Virgil
6/18/12 Virgil
6/17/12 Virgil
6/17/12 YBM
6/17/12 Virgil
6/16/12 Virgil
6/16/12 Virgil
6/16/12 mueckenh@rz.fh-augsburg.de
6/16/12 Virgil
6/17/12 Ki Song
6/17/12 mueckenh@rz.fh-augsburg.de
6/17/12 Ki Song
6/18/12 mueckenh@rz.fh-augsburg.de
6/18/12 Virgil
6/18/12 Virgil
6/18/12 LudovicoVan
6/17/12 Virgil
6/15/12 Ki Song
6/16/12 mueckenh@rz.fh-augsburg.de
6/16/12 Ki Song
6/16/12 mueckenh@rz.fh-augsburg.de
6/16/12 Ki Song
6/17/12 mueckenh@rz.fh-augsburg.de
6/17/12 Ki Song
6/17/12 mueckenh@rz.fh-augsburg.de
6/17/12 Ki Song
6/18/12 mueckenh@rz.fh-augsburg.de
6/18/12 Virgil
6/18/12 mueckenh@rz.fh-augsburg.de
6/18/12 Virgil
6/18/12 mueckenh@rz.fh-augsburg.de
6/18/12 Virgil
6/17/12 Virgil
6/17/12 Virgil
6/16/12 Virgil
6/16/12 Virgil
6/15/12 Virgil
6/15/12 Virgil
6/14/12 mueckenh@rz.fh-augsburg.de
6/14/12 Uergil
6/14/12 Uergil
6/14/12 mueckenh@rz.fh-augsburg.de
6/14/12 Uergil
6/15/12 mueckenh@rz.fh-augsburg.de
6/15/12 Uergil
6/17/12 mueckenh@rz.fh-augsburg.de
6/17/12 Uergil
6/18/12 LudovicoVan
6/18/12 Uergil
6/19/12 mueckenh@rz.fh-augsburg.de
6/19/12 Uergil
6/15/12 Math