Imagine being 19 years old and already identifying yourself as a poet. Maybe you spend your time writing love poems (ha ha, cliché right?), after all you'd be surprised how much something like this can be attractive. Imagine being this poet and going to a school that allows you to be taught by a world-class mathematician without any requirements other than sheer tenacity and zeal. I admit the first thing that popped in my head is that a poet might be one of the most enthused in such a situation.
After all, who is anyone to trivialize the pursuit of knowledge from motivated students who are by their very nature yet to be categorized or to have created a deep identity. It's like so many universities are swaying towards vocational training. No, I'm not making fun here, vocational schools have their uses, but one of the great things of a higher-education is the continuance of encountering things that you wouldn't otherwise find without the help of someone who knows the terrain.
Just imagine.