“They walked for a while, all silent in their thoughts, until they reached the car and Alec drew a fine telescope from his shirt and handed it to Milo."Carry this with you on your journey," he said softly, "for there is much worth noticing that often escapes the eye. Through it you can see everything from the tender moss in a sidewalk crack to the glow of the farthest star — and, most important of all, you can see things as they really are, not just as they seem to be. It's my gift to you.”

“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.”

“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.”

“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.”

“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.”

“Does everyone grow the way you do?" puffed Milo when he had caught up."Almost everyone," replied Alec, and then he stopped a moment and thought. "Now and then, though, someone does begin to grow differently. Instead of down, his feet grow up towards the sky. But we do our best to discourage awkward things like that.""What happens to them?" insisted Milo."Oddly enough, they often grow ten times the size of everyone else," said Alec thoughtfully, "and I've heard that they walk among the stars." And with that he skipped off once again toward the waiting woods.”