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Topic: Another AC anomaly?
Replies: 43   Last Post: Dec 21, 2009 8:08 AM

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ross.finlayson@gmail.com

Posts: 2,713
Registered: 2/15/09
Re: Another AC anomaly?
Posted: Dec 15, 2009 5:54 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Dec 15, 5:01 am, "Dik T. Winter" <Dik.Win...@cwi.nl> wrote:
> In article <r_6dnUXDv4pMfbvWnZ2dnUVZ_tWdn...@giganews.com> "K_h" <KHol...@SX729.com> writes:
>
>  > "Dik T. Winter" <Dik.Win...@cwi.nl> wrote in message
>  >news:KunF0v.9y9@cwi.nl...
> ...
>  > >  By what definition is:
>  > >   lim(n -> oo) n = N?
>  >
>  > Any of the wikipedia definitions.  Here is the proof again.
> ...
>  > Theorem:
>  > lim(n ->oo) n = N.  Consider the naturals:
>  >
>  > S_0 = 0 = {}
>  > S_1 = 1 = {0}
> ...
> This presupposes a particular construction for the natural number.  There are
> other constructions that are consistent with ZF.  Is the limit valid for all
> those possible models?
> --
> dik t. winter, cwi, science park 123, 1098 xg amsterdam, nederland, +31205924131
> home: bovenover 215, 1025 jn  amsterdam, nederland;http://www.cwi.nl/~dik/


Half.

That leads to then interesting expansions of the Factorial/Exponential
Identity, about breakdown in asymptotics.

Also it's half the other way as well, in the deterministic and well-
founded.

Regards,

Ross F.


Date Subject Author
12/12/09
Read Re: Another AC anomaly?
Jesse F. Hughes
12/13/09
Read Re: Another AC anomaly?
K_h
12/14/09
Read Re: Another AC anomaly?
Dik T. Winter
12/14/09
Read Re: Another AC anomaly?
K_h
12/15/09
Read Re: Another AC anomaly?
Dik T. Winter
12/15/09
Read Re: Another AC anomaly?
K_h
12/16/09
Read Re: Another AC anomaly?
Dik T. Winter
12/16/09
Read Re: Another AC anomaly?
K_h
12/17/09
Read Re: Another AC anomaly?
Dik T. Winter
12/18/09
Read Re: Another AC anomaly?
K_h
12/18/09
Read Re: Another AC anomaly?
Dik T. Winter
12/18/09
Read Re: Another AC anomaly?
K_h
12/21/09
Read Re: Another AC anomaly?
Dik T. Winter
12/14/09
Read Re: Another AC anomaly?
Dik T. Winter
12/14/09
Read Re: Another AC anomaly?
K_h
12/15/09
Read Re: Another AC anomaly?
Dik T. Winter
12/15/09
Read Re: Another AC anomaly?
Dik T. Winter
12/15/09
Read Re: Another AC anomaly?
K_h
12/16/09
Read Re: Another AC anomaly?
Dik T. Winter
12/17/09
Read Re: Another AC anomaly?
K_h
12/17/09
Read Re: Another AC anomaly?
Dik T. Winter
12/18/09
Read Re: Another AC anomaly?
K_h
12/18/09
Read Re: Another AC anomaly?
K_h
12/18/09
Read Re: Another AC anomaly?
Dik T. Winter
12/18/09
Read Re: Another AC anomaly?
K_h
12/18/09
Read Re: Another AC anomaly?
Dik T. Winter
12/18/09
Read Re: Another AC anomaly?
K_h
12/15/09
Read Re: Another AC anomaly?
K_h
12/16/09
Read Re: Another AC anomaly?
Jesse F. Hughes
12/17/09
Read Re: Another AC anomaly?
Dik T. Winter
12/17/09
Read Re: Another AC anomaly?
Jesse F. Hughes
12/16/09
Read Re: Another AC anomaly?
Dik T. Winter
12/15/09
Read Re: Another AC anomaly?
ross.finlayson@gmail.com
12/13/09
Read Re: Another AC anomaly?
K_h
12/13/09
Read Re: Another AC anomaly?
Jesse F. Hughes
12/13/09
Read Re: Another AC anomaly?
Jesse F. Hughes
12/14/09
Read Re: Another AC anomaly?
Ilmari Karonen
12/14/09
Read Re: Another AC anomaly?
Jesse F. Hughes
12/15/09
Read Re: Another AC anomaly?
Chas Brown

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