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The interaction between math and physics is a two-way process, with each of the two subjects drawing from and inspiring the other. At different times, one of them may take the lead in developing a particular idea, only to yield to the other subject as focus shifts. But altogether, the two interact in a virtuous circle of mutual influence.
How can it be that mathematics, being after all a product of human thought independent of experience, is so admirably appropriate to the objects of reality?
One cannot escape the feeling that these mathematical formulas have an independent existence and an intelligence of their own, that they are wiser than we are, wiser even than their discoverers.
If you are receptive and humble, mathematics will lead you by the hand.
I did not, however, commit suicide, because I wished to know more of mathematics.
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