For scholars and laymen alike it is not philosophy but active experience in mathematics itself that can alone … - Richard Courant

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Look, they have taken our jobs, they have taken our money, and on top of that they have loaned the money to us and we actually pay them interest now on money. We owe China and Japan each $1. 4 trillion.

Richard Courant

For scholars and laymen alike it is not philosophy but active experience in mathematics itself that can alone answer the question: What is mathematics?

Active, Answer, Philosophy, Science, Sensual

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Mathematics as an expression of the human mind reflects the active will, the comtemplative reason, and the desire for aestetic perfection.

Desire, Expression, Human, Mind, Perfection

Euler - The unsurpassed master of analytic invention.

Invention, Master, Masters, Mathematician, Unsurpassed

Calculus is the outcome of a dramatic intellectual struggle which has lasted for twenty-five hundred years.

Hundred, Intellectual, Outcome, Struggle, Years

With an absurd oversimplification, the 'invention' of the calculus is sometimes ascribed to two men, Newton and Leibniz. In reality, the calculus is the product of a long evolution that was neither initiated nor terminated by Newton and Leibniz, but in which both played a decisive part.

Education, Initiated, Long, Men, Reality

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. Though different traditions may emphasize different aspects, it is only the interplay of these antithetic forces and the struggle for their synthesis that constitute the life, usefulness, and supreme value of mathematical science.

Aesthetic, Analysis, Basic, Expression, Perfection, Struggle