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

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fom

Posts: 1,969
Registered: 12/4/12
Re: Matheology § 246
Posted: Apr 15, 2013 11:09 PM
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On 4/15/2013 6:52 AM, WM wrote:
> 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.
>


So, you have made yourself clear on how a majorant is different
from an upper bound (???).

Until such time as you provide axioms, definitions, and a
deductive calculus to prove your statements I will continue
to interpret your statements mathematically, when possible.

So, I repeat:

The fact is that for any *given* natural number one can find
another different natural number whose existence derives
from the axiomatically *given* successor function and whose
property of being an upper bound derives from the order
relation on the domain that is determined by the axiomatically
*given* successor function.

Given. Given. Given.




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
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fom
4/16/13
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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
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fom
4/17/13
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mueckenh@rz.fh-augsburg.de
4/17/13
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fom
4/17/13
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mueckenh@rz.fh-augsburg.de
4/17/13
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fom
4/17/13
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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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