Since python is merely a programming language and not an authority on
all of mathematics, I don't see why its choice should be given special
consideration. I suppose Ginac has a broader view, but not especially
as broad as Sage is supposed to have.
It is possible to come to some conclusions of what is most likely to
be
useful in conventional programming languages with integers and floats,
e.g. 0.0^0, 0^0.0. This is important for languages in which the
result
of the operation MUST fit in a single word. In Sage, one has the
opportunity
to compute a result that is not so constrained and can be more
informative.
It seems to me you have choices for your values or coercions.
0
1
undefined, NaN, Interval[0,1], Or[0,1], {0,1},
zero_to_zero_power, ...
0^0 (leave it alone)
trap: present issue to consumer and ask for resolution.
Error exit.
Consistency with the choices of the designers of python
when you are dealing with data types that they never considered,
does not seem compelling.
RJF
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