That is assuming the philologists exist outside of our imaginations.
Math(s) and logic and the scientific method are really a lot like analyzing history. You conjecture a thesis or an, er, conjecture then try to prove it. You also try to disprove it and then counter the disproval (I mean, if you want to.)
I don't like getting my hands messy or recording stuff; I'm more of an armchair type person, so science isn't really my thing. But otherwise it would be.
Edit: I like computer science! Programming is very logical. if/else, while, for, switch, functions... it's just the best.