I agree that some mathematical concepts, such as exponential growth, are expressed in nature. But does the fact that a thing is expressed in nature imply that i

I agree that some mathematical concepts, such as exponential growth, are expressed in nature. But does the fact that a thing is expressed in nature imply that it cannot be invented? And what of mathematical concepts not expressed in nature? On a different point, I'd argue that all conceptual inventions are discoveries. So, showing that a mathematical concept was discovered would not be enough to prove it was not invented.