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Topic: Formal proof of the ambiguity of 0^0
Replies: 6   Last Post: Nov 17, 2013 5:05 PM

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Dan Christensen

Posts: 5,945
Registered: 7/9/08
Re: Formal proof of the ambiguity of 0^0
Posted: Nov 17, 2013 5:05 PM
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On Sunday, November 17, 2013 3:43:10 PM UTC-5, Julio Di Egidio wrote:
> "Dan Christensen" <Dan_Christensen@sympatico.ca> wrote in message
> news:4856f63d-1629-4198-8d16-fa71c5365bcd@googlegroups.com...

> > Let's face it, you have more or less ruled out 0^0 being undefined. There
> > is no convincing you.
> Let's face it, there is just no reasoning with you.

It's easy. Just prove that for all binary functions ^ on N we have:

ALL(a):[a e N => [a=/=0 => a^0 = 1]
& ALL(a):ALL(b):[a e N & b e N => a^(b+1) = a^b * a]
<=> 0^0 = 1

I have already proven the contrary, but don't let that stop you.

Download my DC Proof 2.0 software at http://www.dcproof.com
Visit my new math blog at http://www.dcproof.wordpress.com

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