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:firstname.lastname@example.org... > > > > > 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.