The apex of mathematical achievement occurs when two or more fields which were thought to be entirely unrelated turn out to be closely intertwined. Mathematicians have never decided whether they should feel excited or upset by such events.
Gian-Carlo RotaMathematicians - for what they do - are really poorly rewarded. And it's a very competitive field, almost as bad as being a concert pianist.
Gian-Carlo RotaGod created infinity, and man, unable to understand infinity, had to invent finite sets.
Gian-Carlo RotaTHE COMPUTER IS JUST AN INSTRUMENT for doing faster what we already know how to do slower. All pretensions to computer intelligence and paradise-tomorrow promises should be toned down before the public turns away in disgust. And if that should happen, our civilization might not survive.
Gian-Carlo Rota