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Topic: Equivalent Definition of Exponentiation on N
Replies: 85   Last Post: Dec 2, 2013 10:07 PM

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Jussi Piitulainen

Posts: 328
Registered: 12/12/04
Re: Equivalent Definition of Exponentiation on N
Posted: Nov 15, 2013 2:53 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Shmuel (Seymour J.) Metz writes:

> In <l60dev$144$1@news.albasani.net>, on 11/13/2013
> at 05:38 PM, Peter Percival <peterxpercival@hotmail.com> said:
>

> > Natural number arithmetic is also up to the job of defining 0^0.
> > And clearly it should be 1.

>
> That depends on what properties you want it to have. If you want
> x^{y+1} to be x*x^y, then you have a problem with 0^0.


What problem?


Date Subject Author
11/13/13
Read Equivalent Definition of Exponentiation on N
Dan Christensen
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
William Elliot
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/15/13
Read Re: Equivalent Definition of Exponentiation on N
Shmuel (Seymour J.) Metz
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Robin Chapman
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Peter Percival
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Peter Percival
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Bart Goddard
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Bart Goddard
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Bart Goddard
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Bart Goddard
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Bart Goddard
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Bart Goddard
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
Peter Percival
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
Jussi Piitulainen
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
Peter Percival
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
Bart Goddard
11/16/13
Read Re: Equivalent Definition of Exponentiation on N
gnasher729
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
Bart Goddard
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
Peter Percival
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
quasi
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
quasi
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
Brian Q. Hutchings
11/15/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/15/13
Read Re: Equivalent Definition of Exponentiation on N
Bart Goddard
11/15/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/15/13
Read Re: Equivalent Definition of Exponentiation on N
Bart Goddard
11/15/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/15/13
Read Re: Equivalent Definition of Exponentiation on N
Bart Goddard
11/15/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/15/13
Read Re: Equivalent Definition of Exponentiation on N
Bart Goddard
11/15/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/15/13
Read Re: Equivalent Definition of Exponentiation on N
Bart Goddard
11/16/13
Read Re: Equivalent Definition of Exponentiation on N
Bart Goddard
11/16/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/16/13
Read Re: Equivalent Definition of Exponentiation on N
Bart Goddard
11/16/13
Read Re: Equivalent Definition of Exponentiation on N
fom
11/15/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
Peter Percival
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
Peter Percival
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
Robin Chapman
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
Peter Percival
11/15/13
Read Re: Equivalent Definition of Exponentiation on N
Robin Chapman
11/15/13
Read Re: Equivalent Definition of Exponentiation on N
Peter Percival
11/17/13
Read Re: Equivalent Definition of Exponentiation on N
Marshall
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
Bart Goddard
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
Bart Goddard
11/14/13
Read Re: Equivalent Definition of Exponentiation on N
fom
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
David C. Ullrich
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Peter Percival
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Peter Percival
11/13/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/15/13
Read Re: Equivalent Definition of Exponentiation on N
Shmuel (Seymour J.) Metz
11/15/13
Read Re: Equivalent Definition of Exponentiation on N
Jussi Piitulainen
11/25/13
Read Re: Equivalent Definition of Exponentiation on N
Shmuel (Seymour J.) Metz
11/26/13
Read Re: Equivalent Definition of Exponentiation on N
Jussi Piitulainen
11/16/13
Read Re: Equivalent Definition of Exponentiation on N
gnasher729
11/17/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/17/13
Read Re: Equivalent Definition of Exponentiation on N
Peter Percival
11/17/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/17/13
Read Re: Equivalent Definition of Exponentiation on N
Peter Percival
11/17/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/19/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/19/13
Read Re: Equivalent Definition of Exponentiation on N
LudovicoVan
11/19/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
11/29/13
Read Re: Equivalent Definition of Exponentiation on N
Dan Christensen
12/2/13
Read Re: Equivalent Definition of Exponentiation on N
Brian Q. Hutchings

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