“Don't just read it; fight it! Ask your own question, look for your own examples, discover your own proofs. Is the hypothesis necessary? Is the converse true? What happens in the classical special case? What about the degenerate cases? Where does the proof use the hypothesis?”
I Want to be a Mathematician: An Automathography (1985)
Help us to complete the source, original and additional information
Paul R. Halmos 9
American mathematician 1916–2006Related quotes

Two in the Bush (1966)
Context: The attitude of the average person to the world they live in is completely selfish. When I take people round to see my animals, one of the first questions they ask (unless the animal is cute and appealing) is, "what use is it?" by which they mean, "what use is it to them?" To this one can reply "What use is the Acropolis?" Does a creature have to be of direct material use to mankind in order to exist? By and large, by asking the question "what use is it?" you are asking the animal to justify its existence without having justified your own.

“Take your life in your own hands, and what happens? A terrible thing: no one to blame.”