On Tue, Feb 12, 2013 at 6:00 PM, Andrea Pescetti <pesce...@apache.org> wrote: > > 1) Nobody so far exhibited a spreadsheet that would be broken by the new > behavior.
I think attachment to the list are stripped... but... any spreadsheet that try to teach the Power Rule ( http://en.wikipedia.org/wiki/Power_rule ) with interactivity where you can plug the value for x and it calculate the derivative of a polynomial f(x) would all the sudden claim that polynomial functions with a component in x^1 are not differentiable in 0... and that is just one common and practical use of 0^0. Just because some people are tempted to talk about the value of a limit, or even wore for a mathematician, trying to 'calculate it' before establishing convergence does not mean that the 'notation' 0^0 can not be defined. just like 0! is _defined_ to be 1, 0^0 is _defined_ to be 1. I also invite the numerous mathematicians on this list to refer to "N. Boubaki (*), Element of Mathematics, Set Theory, p164: III.3.5 Proposition 11. "[...] Note in particular that 0^0 = 1." (*) http://en.wikipedia.org/wiki/Nicolas_Bourbaki Norbert