"Too often we fail to solve problems because, given our experience, we start out in a given direction, assuming it will lead us to an answer. It's probably the same road traveled by many before us, and leads only to a cul-de-sac. Youth, however, don't let these things block them. They ask, as he did, "why can't I go THAT way?" While we...older people...automatically scratch possibilities because they don't seem logical, youth is smart enough to try the path less traveled...and it looks like it paid off here."
~unknown, referring to a teen mathematician who solved a centuries-old 'unsolvable' physics