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Guided only by their feeling for symmetry, simplicity, and generality, and an indefinable sense of the fitness of things, creative mathematicians now, as in the past, are inspired by the art of mathematics rather than by any prospect of ultimate usefulness.
— Eric Temple Bell
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One of the best safeguards of our hopes, I have suggested, is to be able to mark off the areas of hopelessness and to acknowledge them, to face them directly, not with despair but with the creative intent of keeping them from polluting all the areas of possibility.
— William F. Lynch
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