Quotes

About life in general.

A great offense starts with solid defense. — Steve Kerr, as a commentator inside the video game NBA Live 07

We are what we repeatedly do. Excellence, then, is not an act but a habit. — Will Durant in The Story of Philosophy

When pressure rises, you don’t rise up to the occasion but instead fall back to your best preparations. — Chris Voss in Never Split the Difference

About Mathematics.

Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not. `Immortality’ may be a silly word, but probably a mathematician has the best chance of whatever it may mean. — G.H. Hardy in A Mathematician’s Apology

[Euclid’s proof that there are infinitely many prime numbers] is [demonstrated] by reductio ad absurdum, and reductio ad absurdum, which Euclid loved so much,  is one of a mathematician’s finest weapons. It is a far finer gambit than any chess gambit: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game. — G.H. Hardy in A Mathematician’s Apology

God made the integers, all the rest is work of man. — Leopold Kronecker

Don’t remember it. Know it. — Edward Perry, Department of Mathematics, University of Connecticut

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? — Paul Halmos

Understand it so well as if you might have discovered it yourself. — Donald Sheehy

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