Introduction: Magic A mathematician who is not also something of a poet will never be a complete mathematician. Karl Weierstrass, German mathematician, 1815–1897
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Voltaire, for example, said that “there was more imagination in the head of Archimedes than in that of Homer
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In mathematics and in poetry the effect is beauty.
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what is on the surface is only one aspect of reality. The inner forces are of greater importance.
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The poem is telling us something deep without our being fully aware of its meaning. A poem is a pickpocket who instead of stealing, puts something in our pocket without us noticing.
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And what poetry does to human emotions and cravings, mathematics does to order in the material world. It tries to find the internal logic of things
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What does geometry have in common with music, or arithmetic with poetry? One answer is that both mathematics and poetry search for hidden patterns
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there was more imagination in the head of Archimedes than in that of Homer.”
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The moving power of mathematical invention is not reasoning but imagination
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“there was more imagination in the head of Archimedes than in that of Homer.”