[reikonomusha]

I disagree that it has made more domains of math computable and consistent. It's syntax is consistent, but it's evaluation semantics is wildly inconsistent. This is noticeable when you use some of their internal simplification algorithms on non-trivial problem.

I think Axiom covered more surface area in terms of mathematics than Mathematica. Mathematica is mostly good at performing over reals and complexes and doing term-rewriting algebra. Axiom supported arbitrary algebraic structures.