Mathematics is not a deductive science - that's a cliché... What you do is trial and error, experimentation, guesswork.

You are allowed to lie a little, but you must never mislead.

... the student skit at Christmas contained a plaintive line: "Give us Master's exams that our faculty can pass, or give us a faculty that can pass our Master's exams."

A good stack of examples, as large as possible, is indispensable for a thorough understanding of any concept,and when I want to learn something new, I make it my first job to build one.

Mathematics is not a deductive science - that's a cliché. When you try to prove a theorem, you don't just list the hypotheses, and then start to reason. What you do is trial and error, experimentation, guesswork.

The computer is important, but not to mathematics.

It saddens me that educated people don't even know that my subject exists.