Phil_Ozzy_Fer says:
Curious then, where do you draw the line between maths and logic?
I wouldn't. There's a branch of maths called mathematical logic, but maths comes from the philosophical branch of logic. I'm not sure any lines around the labels are helpful.
It's a shame that we seem to teach children that maths is a science. As though Pythagoras's theorem was proved by measuring a load of triangles, rather than the result of reasoned logical steps from a set of axioms.
Sure, maths is effective (
unreasonably so) in solving science problems, but music, art, and the written word are useful for advertising. But anyone who thinks that music's purpose is to flog stuff has no soul. Mathematics is no more science than music is advertising.
Fundamentally, the processes of maths and logic are identical. At its core, maths is nothing more than a branch of philosophy - a branch that turned out to be really good at solving things.
I sometimes wonder whether we wouldn't live on a nicer planet if other branches of philosophy had been given the same chance as maths. A world where all children are taught epistemology (the study of truth and knowledge) and ethics alongside maths would be nice, eh?