“Things which are equally bad are also equally good. Try to look at the bright side of things.- Humbug”

“But I'm afraid it can't be done.""Certainly not; it can't be done," repeated the Humbug."Why not?" asked Milo."Why not indeed?" exclaimed the bug, who seemed equally at home on either side of an argument."Much too difficult," replied the king."Of course," emphasized the bug, "much too difficult.""You could if you really wanted to," insisted Milo."By all means, if you really wanted to, you could," the Humbug agreed."How?" asked Azaz, glaring at the bug."How?" inquired Milo, looking the same way."A simple task," began the Humbug, suddenly wishing he were somewhere else, "for a brave lad with a stout heart, a steadfast dog, and a serviceable small automobile.”

“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 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.”

“Is everyone with one face called a Milo?""Oh no," Milo replied; "some are called Henry or George or Robert or John or lots of other things.""How terribly confusing," he cried. "Everything here is called exactly what it is. The triangles are called triangles, the circles are called circles, and even the same numbers have the same name. Why, can you imagine what would happen if we named all the twos Henry or George or Robert or John or lots of other things? You'd have to say Robert plus John equals four, and if the four's name were Albert, things would be hopeless.""I never thought of it that way," Milo admitted."Then I suggest you begin at once," admonished the Dodecahedron from his admonishing face, "for here in Digitopolis everything is quite precise.”

“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.”

“And remember, also...that many places you would like to see are just off the map and many things you want to know are just out of sight or a little beyond your reach. But someday you'll reach them all, for what you learn today, for no reason at all, will help you discover all the wonderful secrets of tomorrow.”