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Felix Klein

The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure.

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Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs.

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Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions.

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The developing science departs at the same time more and more from its original scope and purpose and threatens to sacrifice its earlier unity and split into diverse branches.

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