Inspired teaching, and effective outreach, may do more to advance mathematics than even tremendous breakthroughs (like, e.g., Mochizuki's.)
Artists pursue their art because its peculiar beauties utterly obsess them. They neither need nor heed assessments of its social value.
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It is as foolish to insist that everyone must master mathematics as it is to insist that everyone must master the composition of novels.
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It is equally foolish to argue that because mathematics has major technological applications, its growth ought to be "managed" by society.
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