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It seems to be one of the fundamental features of nature that fundamental physical laws are described in terms of a mathematical theory of great beautyand power, needing quite a high standard of mathematics for one to understand it. You may wonder: Why is nature constructed along these lines? One can only answer that our present knowledge seems to show that nature is so constructed. We simply have to accept it. One could perhaps describe the situation by saying that God is a mathematician of a very high order, and He used very advanced mathematics in constructing the universe. Our feeble attempts at mathematics enable us to understand a bit of the universe, and as we proceed to develop higher and higher mathematics we can hope to understand the universe better.
Paul Dirac. The Evolution of the Physicist's Picture of Nature. Scientific American. 1963.