The author discusses valueless measures in pointless spaces.

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

The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic, or Texas method.

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.

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

It is the duty of all teachers, and of teachers of mathematics in particular, to expose their students to problems much more than to facts.

The only way to learn mathematics is to do mathematics.