[ced]

Mathematics is a science

Most people would disagree with that, though interestingly, that was not the case in the 19th century.

http://en.wikipedia.org/wiki/Mathematics#Mathematics_as_scie...

It's all semantics, and not worth arguing much. But nevertheless, it's good to keep in mind that mathematics is about deduction. It starts from axioms and tries to find all of their consequences. Science is about inference, trying to figure out the axioms given the observable consequences. Maths is bottoms-up, science is top-down.

[That's not the entire truth. Platonism in maths is a nice counterpoint to the above. http://en.wikipedia.org/wiki/Philosophy_of_mathematics#Plato...]

My vote goes to CS being a branch of maths.

[dandrews]

Citing Gödel's incompleteness and Turing's incomputability, Gregory Chaitin says (http://www.cs.auckland.ac.nz/~chaitin/cordoba.html) that "mathematics is different from physics, but maybe not as different as most people think".

Perhaps CS is a math, but investigating CS sometimes necessarily employs science.

As you say: not worth arguing much.