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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 10, 2009 3:19 PM
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In article
<6d236085-34a7-4c43-bbe6-341bf8bb6faf@l13g2000yqb.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 10 Dez., 08:19, Virgil <Vir...@home.esc> wrote:
> > In article
> > <b963b9aa-c345-43cf-bf78-e9e27401f...@c34g2000yqn.googlegroups.com>,
> >
> >
> >
> >
> >
> >  WM <mueck...@rz.fh-augsburg.de> wrote:

> > > On 10 Dez., 01:58, "K_h" <KHol...@SX729.com> wrote:
> >
> > > > > When using an intermediate reservoir, as shown in my
> > > > > lesson
> > > > >http://www.hs-augsburg.de/~mueckenh/GU/GU12.PPT#394,22,Folie
> > > > > 22
> > > > > it becomes clear that N cannot be generated by adding
> > > > > number after
> > > > > number.

> >
> > > > Why not?  Say we have an infinitely large sheet of paper and
> > > > we print each natural number, n, on the paper at time
> > > > t=1-1/(n+1).  Certainly at time t=1 we have all the naturals
> > > > printed on the page.

> >
> > > It seems so. But it is wrong. You see it if you consider the
> > > alternative process using an intermediate reservoir as "realized" in
> > > my lesson above.

> >
> > > naturals - reservoir - paper
> > > N           -  { }            - { }
> > > N/{1}      -  {1}          - { }
> > > N/{1,2}    - {2}           - {1}
> > > N/{1,2,3} - {3}          - {1,2}
> > > ...
> > >  N/{1,2,3, ...,n} - {n} - {1,2,3, ...,n-1}
> > > ...

> >
> > > The set in the middle contains a number at every time after t = 0.
> > > Hence this number cannot yet have been printed on the paper (because
> > > it will be printed only after its follower will have entered the
> > > reservoir).

> >
> > And when all the numbers have passed through your "reservoir", both into
> > and out ofd it, as will have happened by t = 1, which numbers does WM
> > claim will still be unprinted.

>
> Then a last one would have had to leave the intermediate reservoir.


The whole point of infinite series and sequences is that there is no
such thing as a "last one". Though when has gone through them all there
is an end of the process of going through them.
> >
> > When going through the terms of an infinite sequence, as in the above,
> > EITHER the process hangs up on a particular term of that sequence OR it
> > goes through every term of the sequence, TERTIUM NON DATUR.-

>
> Or it is proved that the assumption of finished infinity is nonsense.



But that is exactly what, among many other things, WM has not proved.


> Secundum non datur.

Then rimum non datur as well, at least in Wolkenmuekenheim.


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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
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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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11/27/09
Read Re: Another AC anomaly?
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11/27/09
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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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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
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Read Re: Another AC anomaly?
Virgil

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