“And it's much the same thing with knowledge, for whenever you learn something new, the whole world becomes that much richer.”

“You may not see it now," said the Princess of Pure Reason, looking knowingly at Milo's puzzled face, "but whatever we learn has a purpose and whatever we do affects everything and everyone else, if even in the tiniest way. Why, when a housefly flaps his wings, a breeze goes round the world; when a speck of dust falls to the ground, the entire planet weighs a little more; and when you stamp your foot, the earth moves slightly off its course. Whenever you laugh, gladness spreads like the ripples in the pond; and whenever you're sad, no one anywhere can be really happy. And it's much the same thing with knowledge, for whenever you learn something new, the whole world becomes that much richer.”

“But there's so much to learn," he said, with a thoughtful frown."Yes, that's true," admitted Rhyme; "but it's not just learning things that's important. It's learning what to do with what you learn and learning why you learn things at all that matters.""That's just what I mean," explained Milo as Tock and the exhausted bug drifted quietly off to sleep. "Many of the things I'm supposed to know seem so useless that I can't see the purpose in learning them at all.""You may not see it now," said the Princess of Pure Reason, looking knowingly at Milo's puzzled face, "but whatever we learn has a purpose and whatever we do affects everything and everyone else, if even in the tiniest way.”

“...it's not just learning that's important. It's learning what to do with what you learn and learning why you learn things that matters.”

“But that can never be," said Milo, jumping to his feet."Don't be too sure," said the child patiently, "for one of the nicest things about mathematics, or anything else you might care to learn, is that many of the things which can never be, often are. You see," he went on, "it's very much like your trying to reach Infinity. You know that it's there, but you just don't know where — but just because you can never reach it doesn't mean that it's not worth looking for.”

“How can you see something that isn't there?" yawned the Humbug, who wasn't fully awake yet. "Sometimes, it's much simpler than seeing things that are,"he said. "For instance, if something is there, you can only see it with your eyes open, but if it isn't there, you can see it just as well with your eyes closed. That's why imaginary things are often easier to see than real ones.""Then where is Reality?" barked Tock. "Right here,"cried Alec, waving his arms.”

“It's completely logical," explained the Dodecahedron. "The more you want, the less you get, and the less you get, the more you have. Simple arithmetic, that's all. Suppose you had something and added something to it. What would that make?""More," said Milo quickly."Quite correct," he nodded. "Now suppose you had something and added nothing to it. What would you have?""The same," he answered again, without much conviction. "Splendid," cried the Dodecahedron. "And suppose you had something and added less than nothing to it. What would you have then?""FAMINE!" roared the anguished Humbug, who suddenly realized that that was exactly what he'd eaten twenty-three bowls of.”