The Renaissance was the time when Western Europeans lost their awe of the Ancients and realized that they had as much to contribute to civilization and society as the Greeks and Romans had contributed. To modern eyes, the puzzle is not that this should have occurred, but that it should have taken so long for people to lose their inferiority complex.
—J. Gribbin

A problem is grand in science if it lies before us unsolved and we see some way for us to make some headway into it.
—R. Feynman

Every kind of science, if it has only reached a certain degree of maturity, automatically becomes a part of mathematics.
—D. Hilbert

The fastest computation is the one you don't do.

The chains of habit are too weak to be felt until they are too strong to be broken.
—S. Johnson

The best theory is inspired by practice and the best practice is inspired by theory.
—D. Knuth [Source]

An idea which can be used once is a trick. If it can be used more than once it becomes a method.
—G. Pólya

If men were angels, no government would be necessary. If angels were to govern men, neither external nor internal controls on government would be necessary. In framing a government which is to be administered by men over men, the great difficulty lies in this: you must first enable the government to control the governed; and in the next place oblige it to control itself.
—J. Madison

Nothing can stop an idea whose time has come.
—V. Hugo

More is different.
—P.W. Anderson

We must never neglect [to pay attention to] the patient's own use of his symptoms.
—A. Adler

An educator's most important task, one might say his holy duty, is to see to it that no child is discouraged at school, and that a child who enters school already discouraged regains his self-confidence through his school and his teacher.
—A. Adler

The journey is better than the inn.
—M. Cervantes

The abbot ought ever to bear in mind what he is and what he is called; he ought to know that to whom more is entrusted, from him more is exacted.
—St. Benedict

Between stimulus and response there is a space. In that space is our power to choose our response. In our response lies our growth and our freedom.
—V. Frankl

The art of doing mathematics is finding that special case that contains all the germs of generality.
—D. Hilbert

Private victories precede public victories.
—S. Covey

A change in perspective is worth 80 IQ points.
—A. Kay

... before going farther I need to mention a few things in my life that have shaped my opinions. The first occurred at Los Alamos during WWII when we were designing atomic bombs. Shortly before the first field test (you realize no small scale experiment can be done―either you have critical mass or you do not), a man asked me to check some arithmetic he had done, and I agreed, thinking to fob it off on some subordinate. When I asked what it was, he said, "It is the probability that the test bomb will ignite the whole atmosphere." I decided I would check it myself! The next day when he came for the answers I remarked to him, "The arithmetic was apparently correct but I do not know about the formulas for the capture cross sections for oxygen and nitrogen―after all, there could be no experiments at the needed energy levels." He replied, like a physicist talking to a mathematician, that he wanted me to check the arithmetic not the physics, and left. I said to myself, "What have you done, Hamming, you are involved in risking all of life that is known in the Universe, and you do not know much of an essential part?" I was pacing up and down the corridor when a friend asked me what was bothering me. I told him. His reply was, "Never mind, Hamming, no one will ever blame you." Yes, we risked all the life we knew of in the known universe on some mathematics. Mathematics is not merely an idle art form, it is an essential part of our society.
—R. Hamming

[On Alonzo Church] The person lecturing us was logic incarnate.
—G.C. Rota

One can measure the importance of a scientific work by the number of earlier publications rendered superfluous by it.
—D. Hilbert