Dan Christensen <Dan_Christensen@sympatico.ca> wrote in news:firstname.lastname@example.org:
>> It matters if the "way he goes" is 0^0 = 3. > > You misunderstand. I formally proved that there are infinitely many > exponent-like functions, and that they are all identical except for > the value assigned to (0,0). I also proved that, for non-zero bases, > the usual Laws of Exponents hold for each one of them.
No, I understand perfectly. You don't understand how utterly vapid your above statements are. You've "proven" empty statements. You're proposing to extend exponentiation from N to N_0, but somehow exponentiation isn't extended to 0. I've tried to come up with an example of something equally pointless, but all I've got so far is "tits on a boar" and "arguing with a crazy person on USENET."