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Topic: Matheology § 162
Replies: 78   Last Post: Dec 10, 2012 4:46 AM

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 Virgil Posts: 8,833 Registered: 1/6/11
Re: Matheology � 162
Posted: Nov 26, 2012 2:37 AM

In article
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 26 Nov., 00:56, Virgil <vir...@ligriv.com> wrote:
> > In article
> >
> >  WM <mueck...@rz.fh-augsburg.de> wrote:

> > > Matheology 162
> >
> > > About limits of real sequences.
> >
> > > The limit of an infinite sequence (a_k) of real numbers a_k is
> > > determined solely by the finite terms of the sequence. Otherwise, the
> > > limit would not have to be *computed* but would have to be *created*.
> > > Analysis is concerned with analyzing, i.e., with finding.

> >
> > > To give an example, we can state with absolute certainty that in the
> > > real numbers the sequence
> > > 0.1, 0.11, 0.111, ...
> > > has the limit 0.111... = 1/9.

> >
> > Unless we are give some assurance that the pattern that most of us see
> > is the intended one, such as by formula, no one can state "THE" limit,
> > as no such limit exists.

>
> Study real analysis. There are plenty of sequences which have one and
> only one accumulation point. That is called *the* limit.

There are at least as many sequences which do not have any limit values
of any sort, but even WM in his Wolkenmuekenheim cannot make them have
limits that they do not have.
> >
> > > That is independent of the method which is used to analyze the
> > > sequence.

> >
> > WRONG AGAIN!
> >
> > WM claims to be able to analyze a single sequence and, depending on
> > which of two methods he uses, derive two quite different limits.

>
> No, I use the analytical method and accept the analytical result. I do
> not accept deviating results. And mathematicians are invited to join
> me.

But the non-analytical limit that exists for the sequence of sets of
digit positions also exists and is quite different from what WM's
delusions claim.
--

Date Subject Author
11/25/12 mueckenh@rz.fh-augsburg.de
11/25/12 Roland Franzius
11/25/12 namducnguyen
11/26/12 mueckenh@rz.fh-augsburg.de
11/26/12 Virgil
11/25/12 Virgil
11/26/12 mueckenh@rz.fh-augsburg.de
11/26/12 Virgil
11/26/12 mueckenh@rz.fh-augsburg.de
11/26/12 Virgil
11/26/12 YBM
11/26/12 mueckenh@rz.fh-augsburg.de
11/26/12 Virgil
11/27/12 mueckenh@rz.fh-augsburg.de
11/27/12 Virgil
11/27/12 mueckenh@rz.fh-augsburg.de
11/27/12 Carsten Schultz
11/27/12 mueckenh@rz.fh-augsburg.de
11/27/12 Carsten Schultz
11/27/12 Virgil
11/27/12 mueckenh@rz.fh-augsburg.de
11/27/12 Virgil
11/28/12 Carsten Schultz
11/29/12 mueckenh@rz.fh-augsburg.de
11/29/12 Virgil
11/27/12 Virgil
11/27/12 William Hughes
11/27/12 mueckenh@rz.fh-augsburg.de
11/27/12 William Hughes
11/27/12 mueckenh@rz.fh-augsburg.de
11/27/12 William Hughes
11/27/12 mueckenh@rz.fh-augsburg.de
11/27/12 Virgil
11/28/12 mueckenh@rz.fh-augsburg.de
11/28/12 Virgil
11/28/12 mueckenh@rz.fh-augsburg.de
11/28/12 Virgil
11/27/12 William Hughes
11/28/12 mueckenh@rz.fh-augsburg.de
11/28/12 Virgil
11/28/12 mueckenh@rz.fh-augsburg.de
11/28/12 Virgil
11/28/12 William Hughes
11/28/12 mueckenh@rz.fh-augsburg.de
11/28/12 William Hughes
11/28/12 mueckenh@rz.fh-augsburg.de
11/28/12 Michael Stemper
11/29/12 mueckenh@rz.fh-augsburg.de
11/29/12 Michael Stemper
11/29/12 mueckenh@rz.fh-augsburg.de
11/29/12 Michael Stemper
11/29/12 mueckenh@rz.fh-augsburg.de
11/29/12 YBM
11/29/12 trj
11/29/12 Virgil
11/30/12 mueckenh@rz.fh-augsburg.de
11/30/12 Virgil
12/1/12 mueckenh@rz.fh-augsburg.de
12/1/12 Virgil
11/29/12 Virgil
11/29/12 Virgil
11/28/12 Virgil
11/28/12 Virgil
12/10/12 veronika kočková
11/27/12 Virgil
11/27/12 YBM
11/27/12 Virgil
11/27/12 mueckenh@rz.fh-augsburg.de
11/27/12 Virgil
11/28/12 mueckenh@rz.fh-augsburg.de
11/28/12 Virgil
11/27/12 Virgil
11/27/12 mueckenh@rz.fh-augsburg.de
11/27/12 Virgil
11/28/12 Michael Stemper
11/28/12 mueckenh@rz.fh-augsburg.de
11/28/12 Virgil
11/29/12 mueckenh@rz.fh-augsburg.de
11/29/12 Virgil