improbablenormality:

kvothetheravenclaw:

Headcanon that the Ravenclaw door allows entry to those who willingly and humbly admit that they do not know the answer or that their answer is wrong, because having an open mind and awareness of the limits of your intellect is proof of wisdom.

Supplementary headcanon that there are a lot of good answers, because the door opens for good reasoning, good arguments, and the way your mind hacks away at the problem, not the actual answer itself.