I'd say what mathematicians do is "think". We call the sort of thinking mathematicians do "mathematics". I get through quite a bit of grad stats in any given we

I'd say what mathematicians do is "think". We call the sort of thinking mathematicians do "mathematics". I get through quite a bit of grad stats in any given week and I'd say that what I'm not doing reading the computations of other mathematicians. I'm reading words in english, which try to explain concepts which are then sketched formulaically. I'm also reading proofs that are usually completed by a "mathematical" intuition and are very rarely if ever constructivist. Maybe, that's just me busy thinking whilst the rest are busy computing :-)