He paused again as a tear of longing rolled from cheek to lip with the sweet-salty taste of an old memory.
Norton JusterI never knew words could be so confusing," Milo said to Tock as he bent down to scratch the dog's ear.
"Only when you use a lot to say a little," answered Tock.
Milo thought this was quite the wisest thing he'd heard all day.
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.
Tag: infinity mathematics
But I could never have done it," he objected, "without everyone else's help."
"That may be true," said Reason gravely, "but you had the courage to try; and what you can do is often simply a matter of what you will do.
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.
Tag: knowledge learning purpose
And, most important of all," added the Mathemagician, "here is your own magic staff. Use it well and there is nothing it cannot do for you."
He placed in Milo's breast pocket a small gleaming pencil which, except for the size, was much like his own.
Tag: mathematics pencil
Is everyone who lives in Ignorance like you?" asked Milo.
"Much worse," he said longingly. "But I don't live here. I'm from a place very far away called Context.
I warned you; I warned you I was the Senses Taker," sneered the Senses Taker. "I help people find what they're not looking for, hear what they're not listening for, run after what they're not chasing, and smell what isn't even there. And, furthermore," he cackled, hopping around gleefully on his stubby legs, "I'll steal your sense of purpose, take your sense of duty, destroy your sense of proportion — and, but for one thing, you'd be helpless yet."
"What's that?" asked Milo fearfully.
"As long as you have the sound of laughter," he groaned unhappily, "I cannot take your sense of humor — and, with it, you've nothing to fear from me.
Tag: laughter senses sense-of-humor sense-of-purpose
Outside the window, there was so much to see, and hear, and touch — walks to take, hills to climb, caterpillars to watch as they strolled through the garden. There were voices to hear and conversations to listen to in wonder, and the special smell of each day.
And, in the very room in which he sat, there were books that could take you anywhere, and things to invent, and make, and build, and break, and all the puzzle and excitement of everything he didn't know — music to play, songs to sing, and worlds to imagine and then someday make real. His thoughts darted eagerly about as everything looked new — and worth trying.
"Well, I would like to make another trip," he said, jumping to his feet; "but I really don't know when I'll have the time. There's just so much to do right here.
Don't you know anything at all about numbers?"
"Well, I don't think they're very important," snapped Milo, too embarrassed to admit the truth.
"NOT IMPORTANT!" roared the Dodecahedron, turning red with fury. "Could you have tea for two without the two — or three blind mice without the three? Would there be four corners of the earth if there weren't a four? And how would you sail the seven seas without a seven?"
"All I meant was—" began Milo, but the Dodecahedron, overcome with emotion and shouting furiously, carried right on.
"If you had high hopes, how would you know how high they were? And did you know that narrow escapes come in all different widths? Would you travel the whole wide world without ever knowing how wide it was? And how could you do anything at long last," he concluded, waving his arms over his head, "without knowing how long the last was? Why, numbers are the most beautiful and valuable things in the world. Just follow me and I'll show you." He turned on his heel and stalked off into the cave.
Tag: numbers
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