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Topic: Matheology § 074
Replies: 114   Last Post: Jul 22, 2012 4:15 PM

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 mueckenh@rz.fh-augsburg.de Posts: 18,076 Registered: 1/29/05
Re: Matheology § 074
Posted: Jul 15, 2012 3:48 AM

On 15 Jul., 04:22, "dilettante" <n...@nonono.no> wrote:
> "Virgil" <vir...@ligriv.com> wrote in message
>
> news:virgil-C28E88.18225814072012@bignews.usenetmonster.com...
>
>
>
>
>

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

>
> >> On 14 Jul., 20:01, "dilettante" <n...@nonono.no> wrote:
> >> > "WM" <mueck...@rz.fh-augsburg.de> wrote in message
>
>
> >> > > On 14 Jul., 18:38, "dilettante" <n...@nonono.no> wrote:
>
> >> > >> "About that of which we cannot speak, we must remain silent."
>
> >> > > That's why you are silent about mathematics, in this special case?
>
> >> > > Mathematics, as I teach it gives the improper limit
> >> > > ((((((10^0)/10)+10^1)/10)+10^2)/10)+... = oo
> >> > > of the sequence

>
> >> > > 1
> >> > > 0,1
> >> > > 10,1
> >> > > 1,01
> >> > > 101,01
> >> > > 10,101
> >> > > 1010,101
> >> > > 101,0101
> >> > > ...

>
> >> > > Set theory gives 0.
> >> > > What is correct?

>
> >> > > Regards, WM
>
> >> > The limit is infinity. Set theory says nothing different,
>
> >> Set theory says the limit is less than 1, because for every digit
> >> occuring left of the comma (the comma is taken from a German text,
> >> here representing a decimal point) the step can be determined, when
> >> this digit disappears right of the comma

>
> >> Regards, WM
>
> > Quite correct, at least for any set theory generally accepted by
> > standard mathematics.

>
> Good grief, Virgil. Do you really believe that the limit of the sequence 1,
> .1, 10.1, 1.01, 101.01, 10.101, 1010.101, 101.0101 (or
> ((((((10^0)/10)+10^1)/10)+10^2)/10)+... where the sequence is determined by
> starting at the innermost parenthesis and performing one operation for each
> term) something other than infinity? This is a sequence of numbers. It's
> limit has nothing to do with vases or balls, or digits that supposedly cross
> the decimal point (really - you think that the '1' to the immediate right of
> the decimal point is somehow one of the particular '1's from the decimal
> reprentation of the previous number on the list, and that this
> identification has something to do with the limit of this sequence of
> numbers?)

Dear Dilettante:
First, the 1 and 0 can be indexed as the first, the second, the third,
and so on.
Second, instead of 1 and 0 you can use the indexes themselves: The
limit of the sequence
21
2.1
432.1
43.21
6543.21
654.321
...
is not 0 but oo, in mathematics.
http://www.hs-augsburg.de/~mueckenh/GU/GU12c.PPT#403,25,Folie 25
Third: I happened to publish § 077, by pure accident it gives just the
opinion of a leading set theorist. Perhaps that will convice you.
Fourth, from your mathematically healthy reaction I obtain that you
are not among the lost souls of matheology. That fills my heart with
joy.

Regards, WM

Date Subject Author
7/13/12 mueckenh@rz.fh-augsburg.de
7/13/12 MoeBlee
7/13/12 Virgil
7/14/12 dilettante
7/14/12 LudovicoVan
7/14/12 dilettante
7/14/12 mueckenh@rz.fh-augsburg.de
7/14/12 LudovicoVan
7/14/12 Virgil
7/14/12 dilettante
7/14/12 mueckenh@rz.fh-augsburg.de
7/14/12 dilettante
7/14/12 LudovicoVan
7/14/12 Virgil
7/15/12 mueckenh@rz.fh-augsburg.de
7/15/12 LudovicoVan
7/15/12 mueckenh@rz.fh-augsburg.de
7/15/12 LudovicoVan
7/15/12 mueckenh@rz.fh-augsburg.de
7/15/12 Virgil
7/15/12 LudovicoVan
7/15/12 Virgil
7/15/12 Virgil
7/15/12 Virgil
7/15/12 Virgil
7/15/12 Virgil
7/14/12 Virgil
7/14/12 dilettante
7/15/12 mueckenh@rz.fh-augsburg.de
7/15/12 dilettante
7/15/12 Frederick Williams
7/15/12 dilettante
7/15/12 mueckenh@rz.fh-augsburg.de
7/15/12 Virgil
7/15/12 mueckenh@rz.fh-augsburg.de
7/15/12 dilettante
7/16/12 mueckenh@rz.fh-augsburg.de
7/16/12 LudovicoVan
7/16/12 mueckenh@rz.fh-augsburg.de
7/16/12 LudovicoVan
7/17/12 mueckenh@rz.fh-augsburg.de
7/17/12 Virgil
7/16/12 Virgil
7/16/12 Virgil
7/16/12 mueckenh@rz.fh-augsburg.de
7/16/12 Virgil
7/16/12 LudovicoVan
7/16/12 Virgil
7/16/12 LudovicoVan
7/16/12 LudovicoVan
7/16/12 Virgil
7/16/12 Virgil
7/17/12 William Hughes
7/18/12 mueckenh@rz.fh-augsburg.de
7/18/12 LudovicoVan
7/18/12 LudovicoVan
7/18/12 mueckenh@rz.fh-augsburg.de
7/18/12 LudovicoVan
7/18/12 Virgil
7/18/12 mueckenh@rz.fh-augsburg.de
7/18/12 Virgil
7/19/12 mueckenh@rz.fh-augsburg.de
7/19/12 Virgil
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7/16/12 Virgil
7/16/12 mueckenh@rz.fh-augsburg.de
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7/18/12 mueckenh@rz.fh-augsburg.de
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7/18/12 Virgil
7/19/12 mueckenh@rz.fh-augsburg.de
7/19/12 Virgil
7/19/12 mueckenh@rz.fh-augsburg.de
7/19/12 Virgil
7/19/12 mueckenh@rz.fh-augsburg.de
7/19/12 YBM
7/19/12 mueckenh@rz.fh-augsburg.de
7/19/12 Virgil
7/19/12 FredJeffries@gmail.com
7/19/12 MoeBlee
7/19/12 Virgil
7/19/12 MoeBlee
7/20/12 mueckenh@rz.fh-augsburg.de
7/20/12 Virgil
7/20/12 mueckenh@rz.fh-augsburg.de
7/20/12 Virgil
7/20/12 mueckenh@rz.fh-augsburg.de
7/20/12 Virgil
7/21/12 mueckenh@rz.fh-augsburg.de
7/21/12 Virgil
7/22/12 mueckenh@rz.fh-augsburg.de
7/22/12 Virgil
7/20/12 Marshall
7/20/12 mueckenh@rz.fh-augsburg.de
7/20/12 YBM
7/20/12 Virgil
7/21/12 mueckenh@rz.fh-augsburg.de
7/15/12 Virgil
7/15/12 Virgil
7/15/12 Virgil
7/14/12 mueckenh@rz.fh-augsburg.de
7/14/12 dilettante
7/14/12 LudovicoVan
7/14/12 Virgil
7/14/12 Virgil