0^0 = 1?

[Claudio L.]

(04-23-2017 07:45 PM)Thomas Okken Wrote:  ...calculate e^(x log(y)), and that *is* a proper mathematical function, having no more than one value at each point.

In the complex plane, ln(z) is a multivalued function, that's the whole point.

https://en.wikipedia.org/wiki/Complex_logarithm

If you look only into the real set, it's hard to see why 0^0 wouldn't be 1. In the complex plane is clear that there are infinite solutions.
I'm not arguing one definition is incorrect or not, just showing a way to "help" visualize why you might define 0^0 = undefined, which hadn't been mentioned before in the thread.