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Topic: Matheology � 258
Replies: 104   Last Post: May 5, 2013 2:26 PM

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mueckenh@rz.fh-augsburg.de

Posts: 14,622
Registered: 1/29/05
Re: Matheology § 258
Posted: May 1, 2013 10:37 AM
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On 1 Mai, 14:26, Dan <dan.ms.ch...@gmail.com> wrote:
> On May 1, 2:55 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
>

> > On 1 Mai, 13:15, Dan <dan.ms.ch...@gmail.com> wrote:
>
> > > Do you think the natural numbers *can be enumerated*?
>
> > No. Look here for a detailled exposition:
>
> >http://arxiv.org/ftp/math/papers/0305/0305310.pdf
>
> If I knew it were possible for 4 to follow 2 in the natural numbers ,
> I would be worried to use infinity . The difference between a 'unknown
> infinity' and 'the infinity of natural numbers' , is that the latter
> is determined, by thought , and within thought  . There is no bluing,
> no information missing, no indeterminacy .
> 2 is always followed by 3 .
> 999 is always followed by 1000 .


Correct.
>
> If I thought of a formula for an infinite sequence of digits, I can't
> pretend "not to know the digits" , or the formula , when communicating
> with myself .


There are many such formuas: 1/9, pi.
>
> I've honestly tried to follow the argument in section 5 , but it's
> incomprehensible .


It is easy. Look at the sequence
0.1
0.11
0.111
...
Each term has only natural indices.
The limit 0.111... has not only natural indices, because all natural
indices are in the terms of the sequence. So no index or set of
indices remains to distinguish 0.111... from all terms of the
sequence.

Of course you can distinguish every term of the sequence from a larger
one. And this is somethimes used as an argument, that 0.111... can be
distinguished from every term of the sequence. Erroneously! Since, if
the limit could be written by digits at finite places only, it was a
term of the list.

The same argument is used in paragraph 5.
Every term like 0.111 can be reflected at the decimal point, yielding
111.0, since every power 10^-n has a reciprocal 10^n, *as lomg as n is
a natural number*. 0.111... cannot be reflected at the decimal point.
This imples that there are not only natural numbers as indices or
exponents.

I use only this theorem:

As long as n is a natural number, 10^-n is as well defined as 10^n.

Regards, WM



Date Subject Author
4/29/13
Read Re: Matheology � 258
Virgil
4/29/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
4/29/13
Read Re: Matheology � 258
Virgil
4/30/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
4/30/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
4/30/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
4/30/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
4/30/13
Read Re: Matheology � 258
Virgil
5/1/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/1/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/1/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/1/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/1/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/1/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/1/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/1/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/1/13
Read Re: WMytheologist � 258
Virgil
5/1/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/1/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/1/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/1/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/1/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/1/13
Read Re: WM's ignorance self-revealed!
Virgil
5/1/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/1/13
Read Re: Matheology § 258
JT
5/2/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/2/13
Read Re: Matheology § 258
Ed Prochak
5/2/13
Read Re: Matheology � 666
Virgil
5/2/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/2/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/2/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/2/13
Read Re: Matheology � 258
Virgil
5/3/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/3/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/3/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/3/13
Read Re: Matheology � 666
Virgil
5/3/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/3/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/3/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/3/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/3/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/3/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/4/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/4/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/4/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/4/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/4/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/4/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/4/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/4/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/4/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/4/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/4/13
Read Re: Matheology § 258
ross.finlayson@gmail.com
5/5/13
Read Re: Matheology § 258
LudovicoVan
5/5/13
Read Re: Matheology § 258
fom
5/5/13
Read Re: Matheology § 258
ross.finlayson@gmail.com
5/5/13
Read Re: Matheology § 258
ross.finlayson@gmail.com
5/5/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/5/13
Read Re: Matheology � 258
Virgil
5/5/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/5/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/4/13
Read Re: Matheology � 258
Virgil
5/4/13
Read Re: Matheology § 258
Ralf Bader
5/5/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/5/13
Read Re: Matheology � 258
Virgil
5/4/13
Read Re: Matheology � 258
Virgil
5/4/13
Read Re: Matheology � 258
Virgil
5/5/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/5/13
Read Re: Matheology � 258
Virgil
5/5/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/4/13
Read Re: Matheology § 258
fom
5/4/13
Read Re: Matheology � 258
Virgil
5/4/13
Read Re: Matheology § 258
ross.finlayson@gmail.com
5/4/13
Read Re: WMytheology � 258
Virgil
5/4/13
Read Re: Matheology � 258
Virgil
5/4/13
Read Re: Matheology � 258
Virgil
5/4/13
Read Re: Matheology § 258
trj
5/4/13
Read Re: Matheology � 258
Virgil
5/3/13
Read Re: Matheology � 258
Virgil
5/3/13
Read Re: Matheology � 258
Virgil
5/3/13
Read Re: Matheology § 258
fom
5/3/13
Read Re: Matheology § 258
dan.ms.chaos@gmail.com
5/3/13
Read Re: Matheology § 258
fom
5/3/13
Read Re: Matheology § 258
gus gassmann
5/3/13
Read Re: Matheology � 258
Virgil
5/2/13
Read Re: WMytheology � 777
Virgil
5/1/13
Read Re: WMYtheology � 258
Virgil
5/1/13
Read Re: WMYtheology § 258
JT
5/1/13
Read Re: WMYtheology � 258
Virgil
5/1/13
Read Re: WMYtheology § 258
JT
5/1/13
Read Re: Matheology § 258
Bergholt Stuttley Johnson
5/1/13
Read Re: Matheology § 258
rt servo
5/1/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
5/1/13
Read Re: WMytheology � 258
Virgil
5/1/13
Read Re: WMytheology � 258
Virgil
5/1/13
Read Re: Matheology � 258
Virgil
5/1/13
Read Re: Matheology � 258
Virgil
5/1/13
Read Re: Matheology � 258
Virgil
4/30/13
Read Re: Matheology � 258
Virgil
4/30/13
Read Re: Matheology § 258
mueckenh@rz.fh-augsburg.de
4/30/13
Read Re: Matheology � 258
Virgil
4/29/13
Read Re: Matheology § 258
ross.finlayson@gmail.com
4/29/13
Read Re: Matheology � 258
Virgil

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