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Mathematics is a place where you can do things which you can't do in the real world.

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.

We in science are spoiled by the success of mathematics. Mathematics is the study of problems so simple that they have good solutions.

I've always been interested in using mathematics to make the world work better.

I've always enjoyed mathematics. It is the most precise and concise way of expressing any idea.

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

I am interested in mathematics only as a creative art.

Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.