“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.”

“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.”

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

“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.”

“It has been a long trip," said Milo, climbing onto the couch where the princesses sat; "but we would have been here much sooner if I hadn't made so many mistakes. I'm afraid it's all my fault.""You must never feel badly about making mistakes," explained Reason quietly, "as long as you take the trouble to learn from them. For you often learn more by being wrong for the right reasons than you do by being right for the wrong reasons.”

“Would it be possible for me to see something from up there?" asked Milo politely."You could," said Alec, "but only if you try very hard to look at things as an adult does."Milo tried as hard as he could, and, as he did, his feet floated slowly off the ground until he was standing in the air next to Alex Bings. He looked around very quickly and, an instant later, crashed back down to the earth again."Interesting, wasn't it?" asked Alex."Yes, it was," agreed Milo, rubbing his head and dusting himself off, "but I think I'll continue to see things as a child. It's not so far to fall.”