“Ice contains no future, just the past, sealed away. As if they're alive, everything in the world is sealed up inside, clear and distinct. Ice can preserve all kinds of things that way - cleanly, clearly. That's the essence of ice, the role it plays.”

“No matter how clear things might become in the forest of story, there was never a clear-cut solution, as there was in math. The role of a story was, in the broadest terms, to transpose a problem into another form. Depending on the nature and the direction of the problem, a solution might be suggested in the narrative. Tengo would return to the real world with that solution in hand. It was like a piece of paper bearing the indecipherable text of a magic spell. It served no immediate practical purpose, but it contained a possibility.”

“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.”

“Everything was too sharp and clear, so that I could never tell where to start- the way a map that shows too much can sometimes be useless.”

“Things like that happen all the time in this great big world of ours. It's like taking a boat out on a beautiful lake on a beautiful day and thinking both the sky and the lake are beautiful. So stop eating yourself up alive. Things will go where they're supposed to go if you just let them take their natural course.”

“I mean, the ones on trial are not like me in any way: they're a different kind of human being. They live in a different world, they think different thoughts, and their actions are nothing like mine. Between the world they live in and the world I live in there's this thick, high wall. At least, that's how I saw it at first. ...I became a lot less sure of myself. In other words, I started seeing it like this: that there really was no such thing as a wall separating their world from mine. Or if there was such a wall, it was probably a flimsy one made of papier-mache. The second I leaned on it, I'd probably fall right through and end up on the other side. Or maybe it's that the other side has already managed to sneak its way inside of us, and we just haven't noticed.”

“That's the kind of death that frightens me. The shadow of death slowly, slowly eats away at the region of life, and before you know it everything's dark and you can't see, and the people around you think of you as more dead than alive.”