What is the value of 0^0?
Mathematicians seem to agree that if it has a unique value at all, the value is 1 (there seems to be less consensus on the antecedent here, however).
The puzzle, of course, is not merely figuring out the answer. The puzzle is to say something about what the criteria for deciding such a question might be. In particular:
Is mathematical practice and convenience the only arbiter here?
Might the philosopher of mathematics have something interesting to say about cases like this?
Is this an uncomfortable situation for the platonist (since the choice of 1 over 0 seems like a case where the facts are just stipulated for convenience, and not 'discovered' via examination of the platonic forms or whatnot)?
Have at it.