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Topic: Matheology § 201
Replies: 32   Last Post: Jan 28, 2013 2:26 PM

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Virgil

Posts: 9,012
Registered: 1/6/11
Re: Matheology � 201
Posted: Jan 27, 2013 3:19 PM
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In article
<4327864e-1524-41e5-a67c-6c3863745f24@u7g2000yqg.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 27 Jan., 18:32, William Hughes <wpihug...@gmail.com> wrote:
> > On Jan 27, 6:05 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
> >
> > <snip>
> >

> > >..the diagonal
> > > cannot differ from all lines
> > > (it differs from every line, though).

> >
> > The fact that the diagonal differs from every line is
> > enough to show (induction) that the diagonal is not
> > equal to any line in the list.

>
> No. Induction shows that induction never proves something for *all*
> naturals (simply because in PA there are not *all* naturals.


In ZF and real mathematics there is a set of all naturals.
--




Date Subject Author
1/27/13
Read Matheology § 201
mueckenh@rz.fh-augsburg.de
1/27/13
Read Re: Matheology § 201
William Hughes
1/27/13
Read Re: Matheology § 201
mueckenh@rz.fh-augsburg.de
1/27/13
Read Re: Matheology § 201
William Hughes
1/27/13
Read Re: Matheology S 201
Jesse F. Hughes
1/27/13
Read Re: Matheology S 201
mueckenh@rz.fh-augsburg.de
1/27/13
Read Re: Matheology S 201
Jesse F. Hughes
1/27/13
Read Re: Matheology S 201
Virgil
1/27/13
Read Re: Matheology S 201
William Hughes
1/27/13
Read Re: Matheology § 201
mueckenh@rz.fh-augsburg.de
1/27/13
Read Re: Matheology § 201
William Hughes
1/27/13
Read Re: Matheology § 201
mueckenh@rz.fh-augsburg.de
1/27/13
Read Re: Matheology � 201
Virgil
1/27/13
Read Re: Matheology § 201
William Hughes
1/27/13
Read Re: Matheology § 201
mueckenh@rz.fh-augsburg.de
1/27/13
Read Re: Matheology § 201
William Hughes
1/27/13
Read Re: Matheology § 201
mueckenh@rz.fh-augsburg.de
1/27/13
Read Re: Matheology § 201
William Hughes
1/28/13
Read Re: Matheology § 201
William Hughes
1/28/13
Read Re: Matheology § 201
mueckenh@rz.fh-augsburg.de
1/28/13
Read Re: Matheology § 201
William Hughes
1/28/13
Read Re: Matheology § 201
mueckenh@rz.fh-augsburg.de
1/28/13
Read Re: Matheology § 201
William Hughes
1/28/13
Read Re: Matheology § 201
mueckenh@rz.fh-augsburg.de
1/28/13
Read Re: Matheology § 201
William Hughes
1/28/13
Read Re: Matheology � 201
Virgil
1/28/13
Read Re: Matheology � 201
Virgil
1/28/13
Read Re: Matheology � 201
Virgil
1/27/13
Read Re: Matheology � 201
Virgil
1/27/13
Read Re: Matheology � 201
Virgil
1/27/13
Read Re: Matheology � 201
Virgil
1/27/13
Read Re: Matheology � 201
Virgil
1/27/13
Read Re: Matheology � 201
Virgil

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