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To new concepts correspond, necessarily, new signs. These we choose in such a way that they remind us of the phenomena which were the occasion for the formation of the new concepts.

— David Hilbert Mathematical Problems (1900)

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More quotes by David Hilbert

One of the supreme achievements of purely intellectual human activity.

No one shall expel us from the paradise that Cantor has created.

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

Axiomatic Thought (1918)

The art of doing mathematics consists in finding that special case which contains all the germs of generality.

Arithmetical symbols are written diagrams and geometrical figures are graphic formulas.

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