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Topic: Another AC anomaly?
Replies: 280   Last Post: Dec 27, 2009 3:53 PM

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Virgil

Posts: 870
Registered: 7/27/09
Re: Another AC anomaly?
Posted: Dec 21, 2009 4:49 PM
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In article
<b484e377-9dc2-424b-80c3-2912165f636c@a32g2000yqm.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 21 Dez., 14:23, "Dik T. Winter" <Dik.Win...@cwi.nl> wrote:
> > In article
> > <9ad63bf1-549b-4822-bf86-839dd7c64...@j4g2000yqe.googlegroups.com> WM
> > <mueck...@rz.fh-augsburg.de> writes:
> >  > On 18 Dez., 15:19, "Dik T. Winter" <Dik.Win...@cwi.nl> wrote:
> > ...
> >  > >  > > No, it is a matter of convention.  In mathematics
> >  > >  > >     a, b, c, ..., z
> >  > >  > > means a, b, c, continue this way until you reach z.  But starting
> >  > >  > >     {1}, {1, 2}, {1, 2, 3}
> >  > >  > > and going on you never reach
> >  > >  > >     {1, 2, 3, ...}
> >  > >  >
> >  > >  > That is true. Therefore it does not exist.
> >  > >
> >  > > That you can not get there step by step does not mean that it does not
> >  > > exist.
> >  >
> >  > That you cannot get step by step to 1/0 does not mean that it does not
> >  > exist?
> >
> > Indeed.  On the projective line (that precedes Cantor by quite some time as
> > far as I know) it does exist.

>
> But does the projective line exist?


To mathematicians it does. It is hardly relevant whether it exists for
putzers like WM.
> >
> >  > >  >                                   However, see Cantor,
> >  > >  > collected works, p 445:
> >  > >  > 0, 1, 2, 3, ... w_0, w_0 + 1, ..., gamma, ...,
> >  > >  > He seems to reach far more.
> >  > >
> >  > > Right, he uses a convention that is no longer used.
> >  >
> >  > Wrong, it is used presently, for instance by myself.
> >
> > But you are not a mathematician.

>
> Do you think so?


Present evidence supports Dik on this issue.

>I studied mathematics and a university council
> appointed me to teach mathematical lessons.


Attempting is not the same as succeeding.
And unless that university council included at least one bona fide
mathematicain, they were in no position to tell whether WM was one or
not.



> Have you better insights
> than they?


We have the insight into your inadequacies provided by your postings
here, which that council unfortunately lacked.


> Or have you only a different definition of mathematics? Do
> you mean that I am not a matheologian? Then you are right!


Since what you call matheology is what actual mathematicians consider a
part of standard mathematics, your rejection of it marks you as not a
mathematician at all.
> >
> >  > >  > No. But the union contains two paths.
> >  > >
> >  > > Wrong.  If we look at the paths as sets, they are sets of nodes.
> >  Their
> >  > > union is a set of nodes, not a set of paths.  And as a set of nodes we
> >  > > can form from them seven different paths.
> >  >
> >  > Wrong. The nodes of two paths give exactly two paths.
> >
> > Darn, the paths 0.000 and 0.100 contain the following nodes:
> > 0.000 = {0., 0.0, 0.00, 0.000} and 0.100 = {0., 0.1, 0.10, 0.100}
> > where a node is named by the path leading to it.  Their union contains
> > the following paths:
> >        0., 0.0, 0.00, 0.000, 0.1, 0.10, 0.100
> > and I count seven.

>
> The nodes of two maximal paths give two maximal paths. You count
> initial segments.


The nodes of two distinct maximal paths do not form a path at all, since
there must be some node among those nodes with two children among those
nodes.
> >
> >  > >  > Let every finite path of every infinite path be mapped on the
> > elements
> >  > >  > of omega. That was simple.
> >  > >
> >  > > By your statements infinite paths do not exist.  But pray give such a
> >  > > mapping.  Until now you have only asserted that such a mapping exists
> >  > > without showing that.
> >  >
> >  > Do you accept the mapping from omega on SUM{k = 1 to n} 3*10^-k yields
> >  > the infinite decimal expansion of 1/3?
> >
> > *What* mapping?  Do you mean from n in omega -> SUM...?  In that case the
> > infinite decimal expansion of 1/3 is unmapped.

>
> The sum of all finite segments is not the infinite path. Interesting.


The UNION of the set of all finite initial segments may be a path, but
the alleged sum of them diverges.


Date Subject Author
11/23/09
Read Re: Another AC anomaly?
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12/1/09
Read Jesse Hughes of Bentley College uses signature block to defame
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12/1/09
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12/2/09
Read Re: using signature-blocks to defame innocent people Re: Jesse Hughes
of Bentley College
Marshall
11/27/09
Read Re: Another AC anomaly?
William Hughes
11/27/09
Read Re: Another AC anomaly?
William Hughes
11/26/09
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mueckenh@rz.fh-augsburg.de
11/28/09
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Virgil
11/26/09
Read Re: Another AC anomaly?
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11/28/09
Read Re: Another AC anomaly?
William Hughes
11/26/09
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mueckenh@rz.fh-augsburg.de
11/28/09
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11/28/09
Read Re: Another AC anomaly?
Virgil
11/29/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/29/09
Read Re: Another AC anomaly?
Virgil
11/29/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/29/09
Read Re: Another AC anomaly?
Marshall
11/30/09
Read Re: Another AC anomaly?
Virgil
11/30/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/30/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/30/09
Read Re: Another AC anomaly?
Virgil
11/30/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/30/09
Read Re: Another AC anomaly?
Virgil
11/30/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
11/30/09
Read Re: Another AC anomaly?
Virgil
11/29/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/26/09
Read Re: Another AC anomaly?
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11/26/09
Read Re: Another AC anomaly?
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11/26/09
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11/29/09
Read Re: Another AC anomaly?
William Hughes
11/27/09
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mueckenh@rz.fh-augsburg.de
11/27/09
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mueckenh@rz.fh-augsburg.de
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Read Re: Another AC anomaly?
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11/27/09
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Read Re: Another AC anomaly?
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11/30/09
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mueckenh@rz.fh-augsburg.de
11/30/09
Read Re: Another AC anomaly?
Virgil
11/27/09
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mueckenh@rz.fh-augsburg.de
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11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
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Read Re: Another AC anomaly?
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11/27/09
Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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11/27/09
Read Re: Another AC anomaly?
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11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/30/09
Read Re: Another AC anomaly?
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11/30/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
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Read Re: Another AC anomaly?
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12/1/09
Read Re: Another AC anomaly?
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mueckenh@rz.fh-augsburg.de
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12/19/09
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12/22/09
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12/22/09
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Read Re: Another AC anomaly?
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12/27/09
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12/27/09
Read Re: Another AC anomaly?
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12/16/09
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12/16/09
Read Re: Another AC anomaly?
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12/11/09
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12/7/09
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12/8/09
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12/8/09
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12/10/09
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12/3/09
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12/7/09
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12/8/09
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12/8/09
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12/10/09
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12/10/09
Read Re: Another AC anomaly?
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12/10/09
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12/11/09
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12/16/09
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12/16/09
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12/17/09
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12/4/09
Read Re: Another AC anomaly?
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12/7/09
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12/7/09
Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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12/4/09
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12/5/09
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11/27/09
Read Re: Another AC anomaly?
Virgil
11/27/09
Read Re: Another AC anomaly?
anonymous.rubbertube@yahoo.com
11/30/09
Read Re: Another AC anomaly?
William Hughes
11/27/09
Read Re: Another AC anomaly?
William Hughes
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
William Hughes
11/27/09
Read Re: Another AC anomaly?
anonymous.rubbertube@yahoo.com
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
Virgil
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
Virgil
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
William Hughes
11/27/09
Read Re: Another AC anomaly?
mueckenh@rz.fh-augsburg.de
11/27/09
Read Re: Another AC anomaly?
Virgil

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