Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

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

 Messages: [ Previous | Next ]
 Virgil Posts: 8,833 Registered: 1/6/11
Re: Matheology � 258
Posted: May 3, 2013 6:02 PM

In article
WM <mueckenh@rz.fh-augsburg.de> wrote:

> 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.

But never by a single line of "your" list, so that number does not
appear in your list, and your list is proven to be incomplete.

> 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.

"It ain't what you don't know that hurts you most, its what you know for
sure that jest ain't so." Mark Twain.

And doesn't he have WM down pat!

Mathematics is allowed to require all in one line, which your list fails
to do.
--

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
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 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
5/1/13 dan.ms.chaos@gmail.com
5/1/13 mueckenh@rz.fh-augsburg.de
5/1/13 Virgil
5/1/13 dan.ms.chaos@gmail.com
5/1/13 JT
5/2/13 mueckenh@rz.fh-augsburg.de
5/2/13 Ed Prochak
5/2/13 Virgil
5/2/13 mueckenh@rz.fh-augsburg.de
5/2/13 dan.ms.chaos@gmail.com
5/2/13 mueckenh@rz.fh-augsburg.de
5/2/13 Virgil
5/3/13 dan.ms.chaos@gmail.com
5/3/13 mueckenh@rz.fh-augsburg.de
5/3/13 dan.ms.chaos@gmail.com
5/3/13 Virgil
5/3/13 mueckenh@rz.fh-augsburg.de
5/3/13 dan.ms.chaos@gmail.com
5/3/13 mueckenh@rz.fh-augsburg.de
5/3/13 dan.ms.chaos@gmail.com
5/3/13 mueckenh@rz.fh-augsburg.de
5/3/13 dan.ms.chaos@gmail.com
5/4/13 mueckenh@rz.fh-augsburg.de
5/4/13 dan.ms.chaos@gmail.com
5/4/13 mueckenh@rz.fh-augsburg.de
5/4/13 dan.ms.chaos@gmail.com
5/4/13 mueckenh@rz.fh-augsburg.de
5/4/13 dan.ms.chaos@gmail.com
5/4/13 mueckenh@rz.fh-augsburg.de
5/4/13 dan.ms.chaos@gmail.com
5/4/13 mueckenh@rz.fh-augsburg.de
5/4/13 dan.ms.chaos@gmail.com
5/4/13 ross.finlayson@gmail.com
5/5/13 LudovicoVan
5/5/13 fom
5/5/13 ross.finlayson@gmail.com
5/5/13 ross.finlayson@gmail.com
5/5/13 mueckenh@rz.fh-augsburg.de
5/5/13 Virgil
5/5/13 dan.ms.chaos@gmail.com
5/5/13 mueckenh@rz.fh-augsburg.de
5/4/13 Virgil
5/5/13 mueckenh@rz.fh-augsburg.de
5/5/13 Virgil
5/4/13 Virgil
5/4/13 Virgil
5/5/13 mueckenh@rz.fh-augsburg.de
5/5/13 Virgil
5/5/13 mueckenh@rz.fh-augsburg.de
5/4/13 fom
5/4/13 Virgil
5/4/13 ross.finlayson@gmail.com
5/4/13 Virgil
5/4/13 Virgil
5/4/13 Virgil
5/4/13 trj
5/4/13 Virgil
5/3/13 Virgil
5/3/13 Virgil
5/3/13 fom
5/3/13 dan.ms.chaos@gmail.com
5/3/13 fom
5/3/13 gus gassmann
5/3/13 Virgil
5/2/13 Virgil
5/1/13 Virgil
5/1/13 JT
5/1/13 Virgil
5/1/13 JT
5/1/13 Bergholt Stuttley Johnson
5/1/13 rt servo
5/1/13 mueckenh@rz.fh-augsburg.de
5/1/13 Virgil
5/1/13 Virgil
5/1/13 Virgil
5/1/13 Virgil
5/1/13 Virgil
4/30/13 Virgil
4/30/13 mueckenh@rz.fh-augsburg.de
4/30/13 Virgil
4/29/13 ross.finlayson@gmail.com
4/29/13 Virgil