Dan Christensen <Dan_Christensen@sympatico.ca> wrote in news:firstname.lastname@example.org:
> On Wednesday, October 30, 2013 11:51:13 AM UTC-4, Bart Goddard wrote: > >> statements. You're proposing to extend exponentiation from >> >> N to N_0, but somehow exponentiation isn't extended to 0. >> > > On the contrary, I have defined exponentiation on all of N_0.
No, you haven't. That's the problem. If you "define" exponentiation for 0 in such a way that you have to exclude 0 from all your formulae, then, in fact, you have not defined exponentiation on N_0. How can anyone be this stupid and still remember to breathe?