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Topic: Matheology § 154: Consistency Proof!
Replies: 101   Last Post: Nov 25, 2012 5:08 PM

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 mueckenh@rz.fh-augsburg.de Posts: 18,076 Registered: 1/29/05
Re: Matheology § 154: Consistency Proof!
Posted: Nov 23, 2012 10:56 AM

On 23 Nov., 15:42, William Hughes <wpihug...@gmail.com> wrote:
> On Nov 23, 10:32 am, WM <mueck...@rz.fh-augsburg.de> wrote:
>
>
>
>
>

> > On 23 Nov., 15:16, William Hughes <wpihug...@gmail.com> wrote:
>
> > > On Nov 23, 10:11 am, WM <mueck...@rz.fh-augsburg.de> wrote:
>
> > > > On 23 Nov., 13:27, William Hughes <wpihug...@gmail.com> wrote:
>
> > > > > So to summarize:
>
> > > > > Analysis:
> > > > >    limit in real numbers: unbounded
> > > > >                          (oo in extended reals)

>
> > > > >    limit of set of 1's:
>
> > oo =  Limit[n-->oo] SUM[k=0 to n] 10^k
> >      = 1*10^0 + 1*10^1 + 1*10^2 + 1*10^3 + ...
> >      = ...111

>
> this piece of nonsense has nothing to do
> with the limit of the sequence
>
> 1
> 10
> 100
> ...
>
> which is oo = Limit[n-->oo] 10^k
> and it not represented by any numeral.

That is of little interest! You want to excuse one mistake by another
one.

The sequence
1
11
111
...
with its limit
oo = Limit[n-->oo] SUM[k=0 to n] 10^k
= 1*10^0 + 1*10^1 + 1*10^2 + 1*10^3 + ...
= ...111
is represented by digits. So is my original sequence. The number of
digits is oo when calculated by analysis, but 0 when calculated by set
theory. This is one contradiction. And in mathematics one

Regards, WM

Date Subject Author
11/18/12 mueckenh@rz.fh-augsburg.de
11/18/12 Vurgil
11/18/12 William Hughes
11/18/12 Vurgil
11/19/12 mueckenh@rz.fh-augsburg.de
11/19/12 Vurgil
11/19/12 mueckenh@rz.fh-augsburg.de
11/19/12 William Hughes
11/19/12 mueckenh@rz.fh-augsburg.de
11/19/12 Vurgil
11/20/12 mueckenh@rz.fh-augsburg.de
11/20/12 Virgil
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/21/12 mueckenh@rz.fh-augsburg.de
11/21/12 William Hughes
11/22/12 mueckenh@rz.fh-augsburg.de
11/22/12 William Hughes
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11/22/12 William Hughes
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11/22/12 William Hughes
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11/22/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 William Hughes
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
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11/23/12 Virgil
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11/23/12 Virgil
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11/23/12 Virgil
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11/23/12 Virgil
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11/23/12 mueckenh@rz.fh-augsburg.de
11/23/12 Virgil
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11/23/12 Virgil
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11/22/12 mueckenh@rz.fh-augsburg.de
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11/20/12 mueckenh@rz.fh-augsburg.de
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11/22/12 David Valdez