My strong, loosely held, opinion is that rigorous mathematics is the hardest of sciences. Where mathematicians reject computer proofs over all-human proofs, I balk at their lack of rigor and consider their stance unscientific.
Mathematics is one of the only sciences that finds absolute ground truth: we state axioms, and elaborate proofs based entirely upon those axioms. Axioms are assumptions, and we freely acknowledge that results are only guaranteed to hold if the axioms are satisfied. Logicians are seen as philosophers, but I hold them as equals.
There's a perspective that "science" deals purely with the natural world, and mathematicians aren't bothered by the surreality of their axioms. The way I see it is, these are truths that can extend beyond even our universe, should anything more exist. And occasionally, pure mathematical results come hundreds of years before natural observations require them -- what looks absurdly inapplicable now might not in a few generations.