Most freshman undergraduate mathematicians have had their fair share debating whether you "invent" or "discover" definitions and proofs. The general consensus i

Most freshman undergraduate mathematicians have had their fair share debating whether you "invent" or "discover" definitions and proofs. The general consensus is that you "discover" things that are very natural, and you "invent" things for which different mathematicians would have perhaps come up different ideas. But only one thing is shared between both sides of the debate: the distinction really doesn't matter and is definitely bikeshedding.