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Topic: Matheology � 258
Replies: 104   Last Post: May 5, 2013 2:26 PM

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 JT Posts: 1,448 Registered: 4/7/12
Re: WMYtheology § 258
Posted: May 1, 2013 5:41 PM

On 1 Maj, 22:29, Virgil <vir...@ligriv.com> wrote:
> In article
>
>
>
>
>
>
>
>
>
>  JT <jonas.thornv...@gmail.com> wrote:

> > On 1 Maj, 21:06, Virgil <vir...@ligriv.com> wrote:
> > > In article

>
> > >  WM <mueck...@rz.fh-augsburg.de> wrote:
> > > > It is easy. Look at the sequence
> > > > 0.1
> > > > 0.11
> > > > 0.111
> > > > ...
> > > > Each term has only natural indices.
> > > > The limit 0.111... has not only natural indices, because all natural
> > > > indices are in the terms of the sequence. So no index or set of
> > > > indices remains to distinguish 0.111... from all terms of the
> > > > sequence.

>
> > > While it is true that no single index or even finite set of indices is
> > > enough, the infinite set of all indices, being larger than any FISON, is
> > > quite enough to distinguish the limit from any term of the sequence.

>
> > > Note that outside of Wolkenmuekenheim, such infinite sets as the set of
> > > all natural numbers, the set of all integers, the set of all rationals
> > > and the set of all reals (the last being uncountable) are quite standard.

>
> > > If WM wishes to create a world of his own where such standard usages are
> > > exiled, he is quite free to do so,  but cannot expect the vast majority
> > > of mathematicians to follow him into his tiny cramped corrupted world.
> > > --

>
> > But what if it turned out it is other way that it is the
> > mathematicians word that are corrupted, and the rest of the world gain
> > benefits from finite expressions so if they follow WMs ideas there
> > will be gains in enginneering and computational theory and applied
> > mathematics?

>
> Anyone who follows WM's ideas about what mathematics is and how it
> should be done, will end up unable to do any but the most trivial  of
> mathemtaics.
>

> > Isn't computational results what is to be deemed as correct
> > mathematics.

>
> Computational results are the sine qua non of sciences and most of
> applies mathematics but are of considerably less importance in pure
> mathematics that constructions, definitions, proofs and such like.
>

> > If one method leads to approximations and longer
> > computational times, and another leads to finite expressions with
> > shorter computational time. Will not the faster, finite, none
> > approximated approach in the end be math.

>
> They will both be applied mathematics. And in applications ease and
> accuracy of calulation is of great importance. In pure math, ease of
> calculation need not always be of primary importance so long SOME method
> of calculation can be shown to give the desired result.
>

> > I mean there is new
> > forumulas every day that make faster and better calculations, aren't
> > they better and more refined methods then the slower approximations.

>
> Such formulas are more the province of computer science and programming
> than pure mathematics.
>

> > After all you mathematicians use these results in computational theory
> > don't you?

>
> Most pure mathematics today does not do much with computation theory,
> which is mostly left to computer scientists.
> --

But you use the programs they write? At least people in theoretical
physics do.

Date Subject Author
4/29/13 Virgil
4/29/13 mueckenh@rz.fh-augsburg.de
4/29/13 Virgil
4/30/13 dan.ms.chaos@gmail.com
4/30/13 mueckenh@rz.fh-augsburg.de
4/30/13 dan.ms.chaos@gmail.com
4/30/13 mueckenh@rz.fh-augsburg.de
4/30/13 Virgil
5/1/13 dan.ms.chaos@gmail.com
5/1/13 mueckenh@rz.fh-augsburg.de
5/1/13 dan.ms.chaos@gmail.com
5/1/13 mueckenh@rz.fh-augsburg.de
5/1/13 dan.ms.chaos@gmail.com
5/1/13 mueckenh@rz.fh-augsburg.de
5/1/13 dan.ms.chaos@gmail.com
5/1/13 mueckenh@rz.fh-augsburg.de
5/1/13 Virgil
5/1/13 mueckenh@rz.fh-augsburg.de
5/1/13 dan.ms.chaos@gmail.com
5/1/13 mueckenh@rz.fh-augsburg.de
5/1/13 dan.ms.chaos@gmail.com
5/1/13 mueckenh@rz.fh-augsburg.de
5/1/13 Virgil
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5/1/13 JT
5/2/13 mueckenh@rz.fh-augsburg.de
5/2/13 Ed Prochak
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5/5/13 Virgil
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5/3/13 gus gassmann
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5/1/13 Virgil
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5/1/13 Bergholt Stuttley Johnson
5/1/13 rt servo
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5/1/13 Virgil
5/1/13 Virgil
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4/30/13 Virgil
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