“Math is like water. It has a lot of difficult theories, of course, but its basic logic is very simple. Just as water flows from high to low over the shortest possible distance, figures can only flow in one direction. You just have to keep your eye on them for the route to reveal itself. That’s all it takes. You don’t have to do a thing. Just concentrate your attention and keep your eyes open, and the figures make everything clear to you. In this whole, wide world, the only thing that treats me so kindly is math.”

“Life is not like water. Things in life don't necessarily flow over the shortest possible route.”

“You have to look!" Johnnie Walker commanded. "That's another one of our rules. Closing your eyes isn't going to change anything. Nothing's going to disappear just because you can't see what going on. In fact, things will be even worse the next time you open your eyes. That's the kind of world we live in, Mr. Nakata. Keep your eyes wide open. Only a coward closes his eyes. Closing your eyes and plugging up your ears won't make time stand still.”

“In order to fly you have to create space in the open air so that your wings can really spread out. It’s like a parachute. They only work from a high altitude. To fly you have to begin taking risks. If you don’t want to, maybe the best thing is just to give up, and keep walking forever.”

“Closing your eyes isn't going to change anything. Nothing's going to disappear just because you can't see what's going on. In fact, things will even be worse the next time you open your eyes. That's the kind of world we live in. Keep your eyes wide open. Only a coward closes his eyes. Closing your eyes and plugging up your ears won't make time stand still.”

“They take the circuits out of people’s brains that make it possible for them to think for themselves. Their world is like the one that George Orwell depicted in his novel. I’m sure you realize that there are plenty of people who are looking for exactly that kind of brain death. It makes life a lot easier. You don’t have to think about difficult things, just shut up and do what your superiors tell you to do.”