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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: 18,076 Registered: 1/29/05
Re: Matheology § 258
Posted: May 3, 2013 4:54 PM

On 3 Mai, 21:41, Dan <dan.ms.ch...@gmail.com> wrote:
> On May 3, 10:02 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
>

> > On 3 Mai, 18:51, Dan <dan.ms.ch...@gmail.com> wrote:
>
> > > Each real number in your list is followed implicitly by an infinite
> > > amount of zeroes , just as the antidiagonal is followed explicitly by
> > > an infinite amount of ones .
> > > 0.11100000..... differs from
> > > 0.11111111..... = 1/9 at the fourth digit .

>
> > Why do you think that you can construct what the constructer of the
> > list could not?

>
> It's not a matter of what I think I can do , it's simply a matter of
> what I can do .

I know that you cannot do more than I did with the list

0.1
0.11
0.111
...

even if you think of "prove" that you can do more.

> I've offered an argument .I've not seen a refutation.

The refutation is that this: By definition all natural indices are
covered with digits 1 in the list above. And more than all is not
possible.

>
> You can even flip the list and look at it sideways :
> 0 0 0 0 0 0 0 0 ....
> _________________
> 1 1 1 1 1 1 1 1 1 ....
> 0 1 1 1 1 1 1 1 1 ....
> 0 0 1 1 1 1 1 1 1 .....
> 0 0 0 1 1 1 1 1 1 ......
> 0 0 0 0 1 1 1 1 1 ........
> ..........................
>
> Not one of these sequences appears in the list (at its proper
> orientation ) ,

In order to contradict a proof that allegedly holds in every case, it
is sufficient to construct one counter example. I've done tha, if all
naturals are covered by digits 1 in *my* list. And I know that this
premise is correct in mathematics. If you dislike it, do something
else. But it is not mathematics to require more than all.

Regards, WM

Date Subject Author
4/29/13 Virgil
4/29/13 mueckenh@rz.fh-augsburg.de
4/29/13 Virgil
4/30/13 dan.ms.chaos@gmail.com
4/30/13 mueckenh@rz.fh-augsburg.de
4/30/13 dan.ms.chaos@gmail.com
4/30/13 mueckenh@rz.fh-augsburg.de
4/30/13 Virgil
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5/1/13 mueckenh@rz.fh-augsburg.de
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5/1/13 mueckenh@rz.fh-augsburg.de
5/1/13 dan.ms.chaos@gmail.com
5/1/13 mueckenh@rz.fh-augsburg.de
5/1/13 dan.ms.chaos@gmail.com
5/1/13 mueckenh@rz.fh-augsburg.de
5/1/13 Virgil
5/1/13 mueckenh@rz.fh-augsburg.de
5/1/13 dan.ms.chaos@gmail.com
5/1/13 mueckenh@rz.fh-augsburg.de
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5/1/13 mueckenh@rz.fh-augsburg.de
5/1/13 Virgil
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5/2/13 Ed Prochak
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