i have a friend who will not accept the fact that there is endless room for creativity in mathematics. how can i convince him otherwise?
that kind of reminds me of when one of meno's slave boys "recollect" the geometric truths of a triangle in Plato's "Phaedo", only after socrates gives him step by step instructions!but you can't teach someone how to make a breakthrough, because if you could it wouldn't be his breakthrough would it?!
Might be, but that's not what I said. I like to think about it as we create the mathematics rather than discover it.Sorry to play devil's advocate, but if it's discovered does that mean that there is a limit to mathematics?