Q.Did we invent math or did we discover 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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The Prussian mathematician and logician, Leopold Kronecker, famously declared “God made the integers; all else is the work of man.” He believed that math is a language and a tool but it's one that we discovered. We did not invent arithmetic; adding two and two will always give you four, say realists.
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