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“There are so many ways of being wrong and so few ways of being right that it is much more economical to study successes.”

Richard Hamming

Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)

Way , Study , Success

“It is obvious: The past was once the future and the future will become the past.”

Richard Hamming

The Art of Doing Science and Engineering: Learning to Learn (1991)

Past , Future

“Great results in science and engineering are "bunched" in the same person too often for success to be a matter of random luck.”

Richard Hamming

The Art of Doing Science and Engineering: Learning to Learn (1991)

Science , Success , Personality

“The Postulates of Mathematics Were Not on the Stone Tablets that Moses Brought Down from Mt. Sinai.”

Richard Hamming

Emphatic capitalization in original.
The Unreasonable Effectiveness of Mathematics (1980)

Mathematics

“The beauty of mathematics often makes the subject matter much more attractive and easier to master.”

Richard Hamming

Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)

Beauty , Mathematics

“Since I was trying to teach "style" of thinking in science and engineering, and "style" is an art, I should therefore copy the methods of teaching used for the other arts—once the fundamentals have been learned. How to become a great painter cannot be taught in words… Art teachers usually let the advanced student paint, and then make suggestions… more or less as the points arise in the student's head—which is where learning is supposed to occur!”

Richard Hamming

The Art of Doing Science and Engineering: Learning to Learn (1991)

Art , Thinking , Learning , Teachers

“Any unwillingness to learn mathematics today can greatly restrict your possibilities tomorrow.”

Richard Hamming

Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)

Mathematics , Learning

“The Buddha told his disciples, "Believe nothing, no matter where you read it, or who said it, no matter if I have said it, unless it agrees with your own reason and your own common sense". I say the same to you—you must assume the responsibility for what you believe.”

Richard Hamming

The Art of Doing Science and Engineering: Learning to Learn (1991)

Sense , Reading

“Formal proofs, where there is deliberately no meaning, can convince only formalists, and of the results they themselves seem to deny any meaning. Is that to be the mathematics we are to use to understand the world we live in?”

Richard Hamming

Source: Mathematics on a Distant Planet (1998), p. 645

World , Mathematics , Understanding

“It is easy to measure your mastery of the results via a conventional examination; it is less easy to measure your mastery of doing mathematics, of creating new (to you) results, and of your ability to surmount the almost infinite details to see the general situation.”

Richard Hamming

Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)

Mathematics