“A problem isn't finished just because you've found the right answer.”

“The Professor never really seemed to care whether we figured out the right answer to a problem. He preferred our wild, desperate guesses to silence, and he was even more delighted when those guesses led to new problems that took us beyond the original one. He had a special feeling for what he called the "correct miscalculation," for he believed that mistakes were often as revealing as the right answers.”

“Still, being alone doesn't mean you have to be miserable. In that sense it's different from losing something. You've still got yourself, even if you lose everything else. You've got to have faith in yourself and not get down just because you're on your own.”

“Solving a problem for which you know there’s an answer is like climbing a mountain with a guide, along a trail someone else has laid. In mathematics, the truth is somewhere out there in a place no one knows, beyond all the beaten paths. And it’s not always at the top of the mountain. It might be in a crack on the smoothest cliff or somewhere deep in the valley.”

“Because he had been- and in many ways still was- such a brilliant man, he no doubt understood the nature of his memory problem. It wasn't pride that prevented him from asking for help but a deep aversion to causing more trouble than necessary for those of us who lived in the normal world.”

“He preferred smart questions to smart answers.”

“He seemed convinced that children's questions were much more important than those of an adult. He preferred smart questions to smart answers.”