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Topic: Matheology § 246
Replies: 246   Last Post: Apr 26, 2013 2:37 AM

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mueckenh@rz.fh-augsburg.de

Posts: 15,067
Registered: 1/29/05
Re: Matheology § 246
Posted: Apr 15, 2013 7:52 AM
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On 14 Apr., 21:46, fom <fomJ...@nyms.net> wrote:
> On 4/14/2013 2:23 PM, WM wrote:
>

> >>> 1
> >>> 2, 1
> >>> 3, 2, 1
> >>> ...
> >>> n, ..., 3, 2, 1
> >>> ...

>
> >>> It is easy to see that for every *finite* natural number n, there is a
> >>> term of B that has the elements 1 , 2, ..., n.

>
> >> Do you not mean for "every *given* natural number"?
>
> > There is no need of giving numbers.
>
> Actually, there is.  But, since your general
> purpose is to use quantifiers ambiguously,
> you would respond as you have.
>

> > For every finite natural number we have FIS(n) of the first column =
> > line(n) of T.

>
> Simply repeating what you said incorrectly in the
> first place will not make it correct.


But looking at T will convince every mathematican.

> >>> Therefore B is a majorant of the finite initial segments (FISs) of A
> >>> *for all n* - and there is nothing else in A, by definition.

>
> >> There is no "*given* natural number" that is an upper bound
> >> for "*every* finite initial segment of natural numbers" from
> >> A.

>
> > That is not necessary. (In addition, there is no upper bound of
> > lines.)

>
> Then, why did you use the term "majorant"?  The internet search
> turned up a bunch of European hits.  That's fine.  The English
> equivalent is "upper bound".


No, the majorant (a_n) of a sequence (b_n) is a sequence (a_n) such
that for every n >= n_0 : b_n =< a_n or b_n c a_n.
>
> > Fact is, that the majorant criterion holds for every finite natural
> > number. And there are no other elements in |N.


For every n: FIS(n) of the first column is a subset of line n.

Claiming that the first column contains more than the lines is false
in mathematics. None of the lines contains an actually infinite set.

Regards, WM


Date Subject Author
4/12/13
Read Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology § 246
JT
4/12/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology � 246
Virgil
4/12/13
Read Re: Matheology § 246
Ralf Bader
4/12/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology � 246
Virgil
4/12/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology � 246
Virgil
4/12/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology � 246
Scott Berg
4/12/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology � 246
Scott Berg
4/13/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
fom
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 246
fom
4/13/13
Read Re: Matheology § 246
fom
4/13/13
Read Re: Matheology § 246
fom
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 246
fom
4/13/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology � 246
Virgil
4/12/13
Read Re: Matheology � 246
David C. Ullrich
4/12/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 246
dan.ms.chaos@gmail.com
4/12/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology § 246
Ralf Bader
4/12/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
Ralf Bader
4/14/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/14/13
Read Re: Matheology § 246
Ralf Bader
4/14/13
Read Re: Matheology � 246
Virgil
4/12/13
Read Re: Matheology § 246
dan.ms.chaos@gmail.com
4/12/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 246
dan.ms.chaos@gmail.com
4/12/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology � 246
Virgil
4/12/13
Read Re: Matheology § 246
dan.ms.chaos@gmail.com
4/12/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 246
Tanu R.
4/12/13
Read Re: Matheology § 246
dan.ms.chaos@gmail.com
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 246
Tanu R.
4/13/13
Read Re: Matheology § 246
Tanu R.
4/13/13
Read Re: Matheology § 246
Tanu R.
4/13/13
Read Re: Matheology § 246
Tanu R.
4/13/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 246
fom
4/13/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
dan.ms.chaos@gmail.com
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 246
dan.ms.chaos@gmail.com
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 246
dan.ms.chaos@gmail.com
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology � 246
Virgil
4/14/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/14/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
Bergholt Stuttley Johnson
4/13/13
Read Re: Matheology � 246
Virgil
4/14/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/14/13
Read Re: Matheology § 246
Tanu R.
4/14/13
Read Re: Matheology � 246
Virgil
4/12/13
Read Re: Matheology � 246
Virgil
4/12/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology � 246
Virgil
4/12/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 246
Tanu R.
4/13/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology � 246
David C. Ullrich
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 246
fom
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 246
fom
4/13/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
fom
4/13/13
Read Re: Matheology � 246
David C. Ullrich
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 246
dan.ms.chaos@gmail.com
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology � 246
Virgil
4/14/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/14/13
Read Re: Matheology § 246
Tanu R.
4/14/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology � 246
Virgil
4/14/13
Read Re: Matheology � 246
David C. Ullrich
4/14/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/14/13
Read Re: Matheology § 246
fom
4/14/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/14/13
Read Re: Matheology § 246
fom
4/15/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/15/13
Read Re: Matheology � 246
Virgil
4/15/13
Read Re: Matheology § 246
fom
4/16/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/16/13
Read Re: Matheology § 246
Bergholt Stuttley Johnson
4/16/13
Read Re: Matheology � 246
Virgil
4/14/13
Read Re: Matheology � 246
Virgil
4/14/13
Read Re: Matheology � 246
Virgil
4/15/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/15/13
Read Re: Matheology § 246
Bergholt Stuttley Johnson
4/15/13
Read Re: Matheology � 246
Virgil
4/16/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/16/13
Read Re: Matheology � 246
Virgil
4/16/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/16/13
Read Re: Matheology § 246
fom
4/16/13
Read Re: Matheology � 246
Virgil
4/16/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology � 246
Virgil
4/16/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/17/13
Read Re: Matheology § 246
fom
4/17/13
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mueckenh@rz.fh-augsburg.de
4/17/13
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fom
4/17/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology § 246
Tanu R.
4/17/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/17/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/17/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology � 246
Tanu R.
4/17/13
Read Re: Matheology § 246
gus gassmann
4/18/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/18/13
Read Re: Matheology § 246
fom
4/21/13
Read Re: Matheology § 246
gus gassmann
4/21/13
Read Re: Matheology § 246
Ralf Bader
4/21/13
Read Re: Matheology § 246
fom
4/22/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/22/13
Read Re: Matheology § 246
Ralf Bader
4/22/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/22/13
Read Re: Matheology § 246
Bergholt Stuttley Johnson
4/23/13
Read Re: Matheology § 246
Ralf Bader
4/24/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/24/13
Read Re: Matheology � 246
Virgil
4/24/13
Read Re: Matheology § 246
Ralf Bader
4/25/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/25/13
Read Re: Matheology § 246
fom
4/25/13
Read Re: Matheology § 246
Ralf Bader
4/25/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/25/13
Read Re: Matheology § 246
Ralf Bader
4/25/13
Read Re: Matheology § 246
Tanu R.
4/25/13
Read Re: Matheology § 246
Ralf Bader
4/25/13
Read Re: Matheology § 246
Tanu R.
4/26/13
Read Re: Matheology § 246
Bergholt Stuttley Johnson
4/25/13
Read Re: Matheology � 246
Virgil
4/22/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/22/13
Read Re: Matheology § 246
fom
4/22/13
Read Re: Matheology § 246
gus gassmann
4/22/13
Read Re: Matheology § 246
gus gassmann
4/22/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/22/13
Read Re: Matheology § 246
fom
4/22/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/22/13
Read Re: Matheology § 246
fom
4/22/13
Read Re: Matheology � 246
Virgil
4/22/13
Read Re: Matheology � 246
Virgil
4/23/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/23/13
Read Re: Matheology § 246
fom
4/23/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/23/13
Read Re: Matheology § 246
fom
4/23/13
Read Re: Matheology � 246
Virgil
4/24/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/24/13
Read Re: Matheology � 246
Virgil
4/23/13
Read Re: Matheology § 246
fom
4/24/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/24/13
Read Re: Matheology � 246
Virgil
4/24/13
Read Re: Matheology § 246
fom
4/25/13
Read Re: Matheology � 246
Virgil
4/23/13
Read Re: Matheology � 246
Virgil
4/22/13
Read Re: Matheology � 246
Virgil
4/18/13
Read Re: Matheology � 246
Virgil
4/19/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/19/13
Read Re: Matheology § 246
fom
4/19/13
Read Re: Matheology § 246
fom
4/19/13
Read Re: Matheology � 246
Virgil
4/19/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/19/13
Read Re: Matheology § 246
fom
4/19/13
Read Re: Matheology § 246
fom
4/19/13
Read Re: Matheology � 246
Virgil
4/18/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/18/13
Read Re: Matheology § 246
fom
4/18/13
Read Re: Matheology � 246
Virgil
4/18/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/17/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology § 246
Bergholt Stuttley Johnson
4/17/13
Read Re: Matheology § 246
Ralf Bader
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology § 246
Ralf Bader
4/17/13
Read Re: Matheology § 246
Tanu R.
4/18/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/17/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology § 246
fom
4/15/13
Read Re: Matheology § 246
fom
4/13/13
Read Re: Matheology ? 246
Virgil
4/13/13
Read Re: Matheology ? 246
Tanu R.
4/13/13
Read Re: Matheology ? 246
Tanu R.
4/13/13
Read Re: Matheology ? 246
Tanu R.
4/13/13
Read Re: Matheology ? 246
Virgil
4/13/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology � 246
Virgil
4/14/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/14/13
Read Re: Matheology § 246
Tanu R.
4/14/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology ? 246
Virgil

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