“Real mathematics must be justified as art if it can be justified at all.”

“A mathematician, like a painter or a poet, is a maker of patterns. If his patterns are more permanent than their, it is because they are made with ideas.”

“It is not worth an intelligent man's time to be in the majority. By definition, there are already enough people to do that.”

“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 ...”

“[It] is hardly possible to maintain seriously that the evil done by science is not altogether outweighed by the good. For example, if ten million lives were lost in every war, the net effect of sci...”

“No mathematician should ever allow him to forget that mathematics, more than any other art or science, is a young man's game. Galois died at twenty-one, Abel at twenty-seven, Ramanujan at thirty-t...”

“His way had therefore come full circle, or rather had taken the form of an ellipse or a spiral, following as ever no straight unbroken line, for the rectilinear belongs only to Geometry and not to ...”

“In reality the universe has no geometry.”

“Speed is simply the rite that initiates us intoemptiness: a nostalgic desire for forms to revert to immobility, concealed beneath the very intensification of their mobility. Akin to the nostalgia f...”

“I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which we prove, and which we describe grandiloquently as our creations, ar...”

“I should attempt to treat human vice and folly geometrically... the passions of hatred, anger, envy, and so on, considered in themselves, follow from the necessity and efficacy of nature... I shall...”

“If you can't test it, it's not theorics -- it's metatheorics. A branch of philosophy. So, if you want to think of it this way, our test equipment is what defines the boundary separating theorics fr...”

“Physicists have come to realize that mathematics, when used with sufficient care, is a proven pathway to truth.”