"Don't just read it; fight it! Ask your own questions, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? Where does the proof use the hypothesis?"

--

Source : "I Want to be a Mathematician: An Automathography". Book by Paul Halmos, 1985.

Paul Halmos

#Fighting Quotes #Example Quotes #Doe Quotes

“Think of an abstract painting as very, very low relief - a thing, not a picture.”
“We Americans have a chance to become someday a nation in which all racial stocks and classes can exist in their own selfhoods, but meet on a basis of respect and equality and live together, socially, economically, and politically.”
“Be in this moment, and free yourself of striving for something more or someone else.”
“The difference between Everton and the Queen Mary is that Everton carry more passengers!”
“Given a blank we can’t help trying to fill it in along lines of customary seeing or saying. But the best poetic lines undermine those habits, break the pre- off the -dictable, unsettle the suburbs of your routine sentiments, and rattle the tracks of your trains of thoughts.”
“I think my message goes out to the entire spectrum of political parties. I'm supported by the Tea Party, the Conservative Party and the Republican Party. I come from a Democratic world. My world is moderate Democrats, Reagan-type Democrats if you want, the blues or whatever you call them, the Blue Dogs. That's been my world, historically.”
“I think good radio often uses the techniques of fiction: characters, scenes, a big urgent emotional question. And as in the best fiction, tone counts for a lot.”
“As we celebrate Black History Month we should be grateful for the achievements they made and inspired by their legacies to continue their work.”

You may also like:

Alfred Tarski
Logician
David Blackwell
Professor
G. H. Hardy
Mathematician
George Polya
Mathematician
Ivars Peterson
Science writer
Jacob T. Schwartz
Mathematician
John von Neumann
Mathematician
Serge Lang
Mathematician
Saunders Mac Lane
Mathematician