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Topic: A definition of an infinity, perhaps!?
Replies: 836   Last Post: Nov 13, 2011 5:17 AM

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 Virgil Posts: 4,479 Registered: 1/6/11
Re: A definition of an infinity, perhaps!?
Posted: Oct 30, 2011 3:31 PM
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In article
<6c266f36-9aef-4a3f-b8d5-4e81d8e5a72d@r28g2000yqj.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 30 Okt., 13:32, William Hughes <wpihug...@gmail.com> wrote:
>

> > > The list has tried infinitely often to extend the string of ones by
> > > another one. The result is insufficient. What should be done, if
> > > infinitely many attempts have failed?

> >
> > Stop beating a dead horse and use a method (e.g. inductive definition)
> > that will not fail.

>
> Every natural number of 1's can be reached by induction.
> The infinite string cannot be reached by induction.

It can by the sort of induction mathematicians use:

IF there is a 1 in position 1,
and
if whenever there is a 1 in position n there is also a 1 in position n+1,
THEN there is a 1 in every position indexed by N.

Looks like induction gives the lie to WM on that one!
--

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10/30/11 mueckenh@rz.fh-augsburg.de
10/30/11 William Hughes
10/30/11 mueckenh@rz.fh-augsburg.de
10/30/11 William Hughes
10/31/11 mueckenh@rz.fh-augsburg.de
10/31/11 Virgil
10/31/11 William Hughes
10/31/11 mueckenh@rz.fh-augsburg.de
10/31/11 Virgil
10/31/11 William Hughes
10/30/11 SPQR
10/31/11 mueckenh@rz.fh-augsburg.de
10/31/11 Virgil
10/31/11 mueckenh@rz.fh-augsburg.de
10/31/11 Virgil
10/31/11 mueckenh@rz.fh-augsburg.de
10/31/11 Virgil
10/31/11 J. Antonio Perez M.
10/31/11 YBM
10/31/11 J. Antonio Perez M.
11/1/11 Brian Chandler
11/1/11 J. Antonio Perez M.
11/1/11 YBM
11/1/11 J. Antonio Perez M.
10/30/11 Virgil
10/30/11 Virgil
10/30/11 Virgil
10/30/11 SPQR
10/30/11 mueckenh@rz.fh-augsburg.de
10/30/11 SPQR
10/30/11 mueckenh@rz.fh-augsburg.de
10/30/11 SPQR
10/29/11 Virgil
10/29/11 mueckenh@rz.fh-augsburg.de
10/29/11 Virgil
10/27/11 SPQR
10/26/11 SPQR
10/25/11 Virgil
10/24/11 SPQR
10/24/11 SPQR
10/25/11 FredJeffries@gmail.com
10/25/11 mueckenh@rz.fh-augsburg.de
10/25/11 SPQR
10/24/11 mueckenh@rz.fh-augsburg.de
10/24/11 SPQR
10/24/11 FredJeffries@gmail.com
10/24/11 Graham Cooper
10/24/11 Horand.Gassmann@googlemail.com
10/24/11 Graham Cooper
10/24/11 Horand.Gassmann@googlemail.com
10/24/11 Graham Cooper
10/24/11 J. Antonio Perez M.
10/24/11 |-| E R C
10/25/11 mueckenh@rz.fh-augsburg.de
10/25/11 SPQR
10/25/11 William Hughes
10/25/11 mueckenh@rz.fh-augsburg.de
10/25/11 SPQR
10/26/11 mueckenh@rz.fh-augsburg.de
10/26/11 SPQR
10/25/11 SPQR
10/25/11 mueckenh@rz.fh-augsburg.de
10/25/11 SPQR
10/26/11 mueckenh@rz.fh-augsburg.de
10/26/11 SPQR
10/26/11 Graham Cooper
10/26/11 Horand.Gassmann@googlemail.com
10/26/11 Graham Cooper
10/26/11 Horand.Gassmann@googlemail.com
10/26/11 Graham Cooper
10/26/11 mueckenh@rz.fh-augsburg.de
10/26/11 SPQR
10/26/11 Dirk Van de moortel
10/26/11 mueckenh@rz.fh-augsburg.de
10/26/11 Dirk Van de moortel
10/26/11 Androcles
10/26/11 Dirk Van de moortel
10/26/11 Androcles
10/27/11 mueckenh@rz.fh-augsburg.de
10/27/11 Dirk Van de moortel
10/27/11 mueckenh@rz.fh-augsburg.de
10/27/11 Dirk Van de moortel
10/27/11 mueckenh@rz.fh-augsburg.de
10/27/11 Dirk Van de moortel
10/27/11 mueckenh@rz.fh-augsburg.de
10/27/11 Dirk Van de moortel
10/27/11 SPQR
10/27/11 Dirk Van de moortel
10/27/11 mueckenh@rz.fh-augsburg.de
10/27/11 SPQR
10/27/11 SPQR
10/27/11 mueckenh@rz.fh-augsburg.de
10/27/11 SPQR
10/27/11 FredJeffries@gmail.com
10/28/11 mueckenh@rz.fh-augsburg.de
10/28/11 Androcles
10/28/11 Dirk Van de moortel
10/28/11 Androcles
10/27/11 SPQR
10/27/11 mueckenh@rz.fh-augsburg.de
10/27/11 SPQR
10/28/11 mueckenh@rz.fh-augsburg.de
10/28/11 mueckenh@rz.fh-augsburg.de
10/28/11 SPQR
10/28/11 SPQR
10/29/11 mueckenh@rz.fh-augsburg.de
10/29/11 J. Antonio Perez M.
10/29/11 SPQR
10/29/11 mueckenh@rz.fh-augsburg.de
10/29/11 SPQR
10/26/11 SPQR
10/26/11 mueckenh@rz.fh-augsburg.de
10/26/11 Graham Cooper
10/26/11 SPQR
10/26/11 mueckenh@rz.fh-augsburg.de
10/26/11 SPQR
10/26/11 mueckenh@rz.fh-augsburg.de
10/26/11 SPQR
10/27/11 mueckenh@rz.fh-augsburg.de
10/27/11 SPQR
10/24/11 Horand.Gassmann@googlemail.com
10/23/11 FredJeffries@gmail.com
10/23/11 mueckenh@rz.fh-augsburg.de
10/23/11 FredJeffries@gmail.com
10/23/11 mueckenh@rz.fh-augsburg.de
10/23/11 FredJeffries@gmail.com
10/24/11 mueckenh@rz.fh-augsburg.de
10/24/11 SPQR
10/23/11 FredJeffries@gmail.com
10/23/11 FredJeffries@gmail.com
10/23/11 mueckenh@rz.fh-augsburg.de
10/23/11 SPQR
10/24/11 mueckenh@rz.fh-augsburg.de
10/24/11 SPQR
10/23/11 FredJeffries@gmail.com
10/24/11 mueckenh@rz.fh-augsburg.de
10/24/11 SPQR
10/23/11 SPQR
10/23/11 SPQR
10/23/11 mueckenh@rz.fh-augsburg.de
10/23/11 SPQR
10/23/11 mueckenh@rz.fh-augsburg.de
10/23/11 SPQR
10/24/11 mueckenh@rz.fh-augsburg.de
10/24/11 SPQR
10/23/11 FredJeffries@gmail.com
10/23/11 SPQR
10/22/11 SPQR
10/22/11 SPQR
10/22/11 mueckenh@rz.fh-augsburg.de
10/22/11 SPQR
10/23/11 SPQR
10/21/11 SPQR
10/21/11 mueckenh@rz.fh-augsburg.de
10/21/11 SPQR
10/21/11 Horand.Gassmann@googlemail.com
10/21/11 Graham Cooper
10/21/11 Graham Cooper
10/21/11 SPQR
10/22/11 mueckenh@rz.fh-augsburg.de
10/22/11 SPQR
10/22/11 mueckenh@rz.fh-augsburg.de
10/22/11 SPQR
10/22/11 mueckenh@rz.fh-augsburg.de
10/22/11 SPQR
10/22/11 mueckenh@rz.fh-augsburg.de
10/22/11 SPQR
10/23/11 SPQR
10/23/11 mueckenh@rz.fh-augsburg.de
10/23/11 SPQR
10/20/11 William Hughes
10/20/11 SPQR
10/20/11 Graham Cooper
10/21/11 mueckenh@rz.fh-augsburg.de
10/21/11 SPQR
10/21/11 Graham Cooper
10/21/11 J. Antonio Perez M.
10/21/11 Graham Cooper
10/21/11 William Hughes
10/21/11 mueckenh@rz.fh-augsburg.de
10/21/11 SPQR
10/21/11 mueckenh@rz.fh-augsburg.de
10/21/11 SPQR
10/15/11 Virgil
10/16/11 mueckenh@rz.fh-augsburg.de
10/16/11 SPQR
10/17/11 mueckenh@rz.fh-augsburg.de
10/17/11 SPQR
10/14/11 Virgil
10/15/11 mueckenh@rz.fh-augsburg.de
10/15/11 SPQR
10/16/11 mueckenh@rz.fh-augsburg.de
10/16/11 SPQR
10/14/11 Virgil
10/14/11 Virgil
10/14/11 Virgil
10/14/11 Virgil
10/14/11 Virgil
10/13/11 Virgil
10/12/11 Virgil
10/13/11 Ki Song
10/13/11 mueckenh@rz.fh-augsburg.de
10/13/11 J. Antonio Perez M.
10/13/11 Virgil
10/14/11 mueckenh@rz.fh-augsburg.de
10/14/11 Virgil
10/12/11 Virgil
10/12/11 Virgil
10/11/11 mueckenh@rz.fh-augsburg.de
10/11/11 Virgil
10/11/11 Virgil
10/11/11 mueckenh@rz.fh-augsburg.de
10/11/11 Virgil
10/11/11 Virgil
10/11/11 mueckenh@rz.fh-augsburg.de
10/11/11 Virgil
10/12/11 mueckenh@rz.fh-augsburg.de
10/12/11 Virgil
10/12/11 mueckenh@rz.fh-augsburg.de
10/12/11 SPQR
10/13/11 Ki Song
10/13/11 mueckenh@rz.fh-augsburg.de
10/13/11 J. Antonio Perez M.
10/13/11 SPQR
10/11/11 Virgil
10/12/11 mueckenh@rz.fh-augsburg.de
10/12/11 Virgil
10/12/11 mueckenh@rz.fh-augsburg.de
10/12/11 Virgil
10/13/11 mueckenh@rz.fh-augsburg.de
10/13/11 Virgil
10/11/11 Alen
10/11/11 Frederick Williams
10/11/11 mueckenh@rz.fh-augsburg.de
10/11/11 Virgil
10/17/11 Jim Greenfield
10/10/11 Frederick Williams
10/9/11 Frederick Williams

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