Savage’s approach to research, via Mosteller:
- As soon as a problem is stated, start right away to solve it. Use simple examples.
- Keep starting from first principles, explaining again and again what you are trying to do.
- Believe that this problem can be solved and that you will enjoy working it out.
- Don’t be hampered by the original problem statement. Try other problems in its neighborhood; maybe there’s a better problem than yours.
- Work an hour or so on it frequently.
- Talk about it; explain it to people.
Quotes worth quoting:
- Good judgment comes from experience. Experience comes from bad judgment.
—Jim Horning - Dealing with failure is easy: work hard to improve. Success is also easy to handle: you’ve solved the wrong problem. Work hard to improve.
—Alan J. Perlis - However beautiful the strategy, you should occasionally look at the results.
—Winston Churchill - I have yet to see any problem, however complicated, which, when looked at in the right way, did not become still more complicated.
—Poul Anderson - The difference between theory and practice: in theory, there’s no difference between theory and practice; in practice, there is.
—Jan L. A. van de Snepscheut - The most exciting phrase to hear in science is not “Eureka!” but “That’s funny...”
—Isaac Asimov - Don’t worry about people stealing your ideas. If your ideas are any good, you’ll have to ram them down people’s throats.
—Howard Aiken - The secret to creativity is knowing how to hide your sources.
—Albert Einstein - Men never do evil so cheerfully and completely as when they do it from religious conviction.
—Blaise Pascal - I was unable to find flaws in my ‘proof’ for quite a while, even though the error is very obvious. It was a psychological problem, a blindness, an excitement, an inhibition of reasoning by an underlying fear of being wrong. Techniques leading to the abandonment of such inhibitions should be cultivated by every honest mathematician.
—John R. Stallings Jr. [on his false proof of Poincare’s conjecture] - For sheer brilliance I could divide all those whom I have taught into two groups: one contained a single outstanding boy, R. A. Fisher; the other all the rest.
—Arthur Vassal, Fisher's biology teacher at Harrow - [Fisher] fitted the classical definition of a gentleman: he never insulted anyone unintentionally.
—J.F. Crow - I occasionally meet geneticists who ask me whether it is true that the great geneticist R. A. Fisher was also an important statistician.
—L. J. Savage - If the topic of regression comes up in a trial, the side that must explain regression to the jury will lose.
—David A. Freedman