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From numbers and the four elementary operations to differential, integral and matrix calculations, from the first principles of classical physics to the recent theories of quantum gravity. Some difficult areas can be explained in a simple, concrete and natural way. Some areas considered elementary deserve a difficult analysis. Understanding and seeing rather than calculating. On the other hand, mechanical calculation can only be acquired by labor and repetition. At the level where mathematics approaches an art of reasoning, it is necessary to conceive of formal code as a language, and the work of the mathematician-physicist as that of a translator from one language to another, from intuition to the code and from the code to intuition.