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Topic: Mathematics in brief
Replies: 84   Last Post: Dec 11, 2012 3:23 AM

 Messages: [ Previous | Next ]
 Zaljohar@gmail.com Posts: 2,665 Registered: 6/29/07
Re: Mathematics in brief
Posted: Dec 8, 2012 12:55 PM

On Dec 8, 1:49 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
> On 8 Dez., 10:41, Zuhair <zaljo...@gmail.com> wrote:
>
> I will give two answers, the first one depends on the finity of the
> universe, the second one does not.
>

> > Mathematics is "discourse
>
> and discourse needs the tools available to us. They all are finite.
>
>
>

> > How those forms are known to us? the answer is through their
> > exemplification as part of the discourse of consistent theories about
> > form.

>
> Consistent means that discourse about all elements is possible.
> We know that all finite words belong to a countable set. We know that
> no infinite word can be mentioned without having a finite name.
>
> Therefore this silly argument is really silly:
> "I can decide for a real number x whether a real number y deviates in
> its decimal (or any other) expansion from that of x."
> The complete infinite expansion of x is never known, not even in an
> infinite universe,  but only the finite formula allowing expansion to
> any required level.
>
> So the argument is silly that there are uncountably many x because x
> has an infinite expansion. No x is known without a finite formula,
> name, word, ...
>
> Regards, WM

I don't agree with what you say. There is no known inconsistency with
uncountability of the reals, and accordingly uncountability of the
reals is a possibility, and since we can interpret reals as forms in
the set hierarchy, then we are having a discourse about possible form,
and thus uncountability of the reals is mathematical. Mathematics only
needs to speak about possible forms. Now whether it is TRUE that we
have uncountably many reals in the real world, this is another matter
that belong to applied mathematics and not to pure mathematics.

All the rest of your speech is restrictive without a clear
justification other than personal favoritism for the finite and
concrete descriptions. Mathematics need not yield to such wimps.

Zuhair

Zuhair

Date Subject Author
12/8/12 Zaljohar@gmail.com
12/8/12 mueckenh@rz.fh-augsburg.de
12/8/12 Zaljohar@gmail.com
12/8/12 mueckenh@rz.fh-augsburg.de
12/8/12 Virgil
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Virgil
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Virgil
12/9/12 fom
12/9/12 Zaljohar@gmail.com
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Zaljohar@gmail.com
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Virgil
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Virgil
12/8/12 Zaljohar@gmail.com
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Virgil
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Virgil
12/9/12 Zaljohar@gmail.com
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Charlie-Boo
12/9/12 Zaljohar@gmail.com
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Zaljohar@gmail.com
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Zaljohar@gmail.com
12/9/12 Zaljohar@gmail.com
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Zaljohar@gmail.com
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Virgil
12/9/12 Zaljohar@gmail.com
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Virgil
12/10/12 Zaljohar@gmail.com
12/10/12 mueckenh@rz.fh-augsburg.de
12/10/12 Virgil
12/10/12 mueckenh@rz.fh-augsburg.de
12/10/12 Zaljohar@gmail.com
12/10/12
12/10/12 mueckenh@rz.fh-augsburg.de
12/10/12 Virgil
12/10/12 Virgil
12/10/12 Virgil
12/10/12 Zaljohar@gmail.com
12/10/12 mueckenh@rz.fh-augsburg.de
12/10/12 Virgil
12/9/12 Zaljohar@gmail.com
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Virgil
12/9/12 ross.finlayson@gmail.com
12/9/12 Virgil
12/9/12 Zaljohar@gmail.com
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Virgil
12/10/12 mueckenh@rz.fh-augsburg.de
12/10/12 Virgil
12/9/12 Virgil
12/9/12 Virgil
12/8/12 mueckenh@rz.fh-augsburg.de
12/8/12 Virgil
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Virgil
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Virgil
12/9/12 Charlie-Boo
12/8/12 Virgil
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Virgil
12/8/12 mueckenh@rz.fh-augsburg.de
12/8/12 Virgil
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Virgil
12/10/12 Shmuel (Seymour J.) Metz
12/10/12 mueckenh@rz.fh-augsburg.de
12/10/12 Virgil
12/11/12 mueckenh@rz.fh-augsburg.de
12/11/12 Virgil
12/9/12 Charlie-Boo
12/9/12 mueckenh@rz.fh-augsburg.de
12/9/12 Virgil