did we invent math or did we discovered it?
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This is true for all right-angled triangles on a level surface, so it's a discovery. Showing it is true, however, requires the invention of a proof. And over the centuries, mathematicians have devised hundreds of different techniques capable of proving the theorem. In short, maths is both invented and discovered.
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In the same way that words form the human language, we commonly regard mathematics as the language of the universe. We say that when Newton sought to formalize his theories, he invented calculus. A primitive society has not yet created a mathematical logic, but a mathematician discovers results of a theorem.
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