Weak and narrow are the powers implanted in the limbs of men; many the woes that fall on them and blunt the edge of thought; short is the measure of the life in death through which they toil; then are they borne away, like smoke they vanish into air, and what they dream they know is but the little each hath stumbled on in wandering about the world; yet boast they all that they have learned the whole—vain fools! for what that is, no eye hath seen, no ear hath heard, nor can it be conceived by mind of man. Thou, then, since thou hast fallen to this place, shalt know no more than human wisdom may attain.

It is said that there comes a point in every mathematics student's education when he hears himself saying to the teacher, "I think I understand"-- and that's the point at which he has hit a wall. Making sure that all gifted students hit their own personal walls is crucial for developing the empathy with the rest of the world. When they see their less lucky peers struggle academically, they need to be able to say "I know how it feels,"-- and be telling the truth.