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"For scholars and laymen alike it is not philosophy but active experience in mathematics itself that can alone answer the question: What is mathematics?"
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"All theory is against freedom of the will; all experience for it."
"No matter how loud the sirens or how numerous the hazard signs, we all touch the flames at least once to prove they're hot."
"I wear my wrinkles like battle scars, having earned every last one slaying life's dragons. They boast of my victories and some defeats while their beauty is a wealth of wisdom gained."
"Experience which was once claimed by the aged is now claimed exclusively by the young."
"Masterpieces are not single and solitary births; they are the outcome of many years of thinking in common, of thinking by the body of the people, so that the experience of the mass is behind the single voice."
"Just because a person successfully steers a voyage through hell doesn't mean he ever wants to sail that route again."
"Experience is by industry achiev'd,And perfected by the swift course of time."
"There is more experience on the field of justification than on the camp of training. Sometimes, you got to take actions to learn more."
"Then we had the irises, rising beautiful and cool on their tall stalks, like blown glass, like pastel water momentarily frozen in a splash, light blue, light mauve, and the darker ones, velvet and purple, black cat's ears in the sun, indigo shadow, and the bleeding hearts, so female in shape it was a surprise they'd not long since been rooted out. There is something subversive about this garden of Serena's, a sense of buried things bursting upwards, wordlessly, into the light, as if to point, to say: Whatever is silenced will clamor to be heard, though silently."
Explore more quotes by Richard Courant
"Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality."
"For scholars and laymen alike it is not philosophy but active experience in mathematics itself that can alone answer the question: What is mathematics?"
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