> The question assumes that there is a difference between invention and discovery. There isn't. Invention is a kind of discovery. this is self-contradictory. i

> The question assumes that there is a difference between invention and discovery. There isn't. Invention is a kind of discovery. this is self-contradictory. if invention is a kind of discovery, then they aren't equivalent as you say. invention and discovery are clearly different but related concepts. hence the question. i didn't invent the sun. i discovered it, for myself, the first time i saw it. this is a structure that exists. the mathematical question boils down to whether the structures that we find are discovered or conjured up. our physical inventions do discover new things, but these are things that existed whether the invention happened or not. the invention is simply a process.