The Phantom Tollbooth

by

Norton Juster

The Mathemagician is the king of Digitopolis and King Azaz’s brother. Like his brother, he’s a towering man with a huge beard. His robes are embroidered with complex mathematical equations, and he carries a “magic staff,” which is a giant pencil. Since his kingdom is the kingdom of numbers, the Mathemagician is convinced that numbers are far superior to words—and he’s locked in a years-old feud with Azaz because of this. The feud is what caused the Mathemagician to agree to imprison Rhyme and Reason in the Castle in the Air years before the novel begins. Though the Mathemagician is initially open to the idea of rescuing the princesses, he rejects the idea outright when he learns that Azaz thought it was a good idea. But Milo is able to convince the Mathemagician to agree using logic, and to reward Milo for this (and to help Milo through the Mountains of Ignorance), the Mathemagician gives Milo a gift: a miniature magic staff (a pencil). Milo uses the magic staff to escape the Terrible Trivium’s clutches. The Mathemagician rides to fight in the final clash with the demons and mostly makes up with Azaz—though it seems likely that they’ll continue their argument long after Milo leaves the Lands Beyond.

The Mathemagician Quotes in The Phantom Tollbooth

The The Phantom Tollbooth quotes below are all either spoken by The Mathemagician or refer to The Mathemagician. For each quote, you can also see the other characters and themes related to it (each theme is indicated by its own dot and icon, like this one:
Knowledge, Learning, and the Purpose of Education Theme Icon
).
Chapter 3. Welcome to Dictionopolis Quotes

“When they began to count all the time that was available, (…) it seemed as if there was much more than could ever be used. ‘If there’s so much of it, it couldn’t be very valuable,’ was the general opinion, and it soon fell into disrepute. People wasted it and even gave it away. Then we were given the job of seeing that no one wasted time again,” he said, sitting up proudly. “It’s hard work but a noble calling. For you see”—and now he was standing on the seat, one foot on the windshield, shouting with his arms outstretched—“it is our most valuable possession, more precious than diamonds. It marches on, and tide wait for no man, and—”

Related Characters: Tock (speaker), Milo, King Azaz the Unabridged, The Mathemagician
Related Symbols: Time/Tock’s Alarm Clock
Page Number: 34
Explanation and Analysis:
Chapter 6. Faintly Macabre’s Story Quotes

“‘Words and numbers are of equal value for, in the cloak of knowledge, one is warp and the other woof. It is no more important to count the sands than it is to name the stars. Therefore, let both kingdoms live in peace.’”

“Everyone was pleased with the verdict. Everyone, that is, but the brothers, who were beside themselves with anger.

“‘What good are these girls if they cannot settle an argument in someone’s favor?’ they growled, since both were more interested in their own advantage than in the truth.”

Related Characters: King Azaz the Unabridged (speaker), The Mathemagician (speaker), Princess of Sweet Rhyme (speaker), Princess of Pure Reason (speaker), Faintly Macabre (speaker), Milo, Tock
Related Symbols: The Castle in the Air
Page Number: 77
Explanation and Analysis:
Chapter 12. The Silent Valley Quotes

“It doesn’t make me happy to hold back the sounds,” she began softly, “for if we listen to them carefully they can sometimes tell us things far better than words.”

“But if that is so,” asked Milo—and he had no doubt that it was—“shouldn’t you release them?”

“NEVER!” she cried. “They just use them to make horrible noises which are ugly to see and worse to hear. I leave all that to Dr. Dischord and that awful, awful DYNNE.”

“But some noises are good sounds, aren’t they?” he insisted.

“That may be true,” she replied stubbornly, “but if they won’t make the sounds that I like, they won’t make any.”

Related Characters: Milo (speaker), The Soundkeeper (speaker), King Azaz the Unabridged, The Mathemagician, Princess of Sweet Rhyme, Princess of Pure Reason, Dr. Kakofonous A. Dischord, The DYNNE
Page Number: 158
Explanation and Analysis:
Chapter 15. This Way to Infinity Quotes

“How did you do that?” gasped Milo.

“There’s nothing to it,” they all said in chorus, “if you have a magic staff.” Then six of them canceled themselves out and simply disappeared.

“But it’s only a big pencil,” the Humbug objected, tapping at it with his cane.

“True enough,” agreed the Mathemagician; “but once you learn to use it, there’s no end to what you can do.”

Related Characters: Milo (speaker), The Humbug (speaker), The Mathemagician (speaker), Tock, King Azaz the Unabridged
Page Number: 188
Explanation and Analysis:
Chapter 16. A Very Dirty Bird Quotes

“I hope you found what you were looking for.”

“I’m afraid not,” admitted Milo. And then he added in a very discouraged tone, “Everything in Digitopolis is much too difficult for me.”

The Mathemagician nodded knowingly and stroked his chin several times. “You’ll find,” he remarked gently, “that the only thing you can do easily is be wrong, and that’s hardly worth the effort.”

Related Characters: Milo (speaker), The Mathemagician (speaker), Tock, The Humbug, Princess of Sweet Rhyme, Princess of Pure Reason
Page Number: 198
Explanation and Analysis:
Chapter 17. Unwelcoming Committee Quotes

“But why do only unimportant things?” asked Milo, who suddenly remembered how much time he spent each day doing them.

“Think of all the trouble it saves,” the man explained, and his face looked as if he’d be grinning an evil grin—if he could grin at all. “If you only do the easy and useless jobs, you’ll never have to worry about the important ones which are so difficult. You just won’t have the time. For there’s always something to do to keep you from what you should really be doing, and if it weren’t for that dreadful magic staff, you’d never know how much time you were wasting.”

Related Characters: Milo (speaker), Terrible Trivium (speaker), Tock, The Humbug, The Mathemagician
Related Symbols: Gifts, Time/Tock’s Alarm Clock
Page Number: 213
Explanation and Analysis:
Chapter 18. Castle in the Air Quotes

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

“And remember also,” added the Princess of Sweet Rhyme, “that many places you would like to see 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.”

“I think I understand,” Milo said, still full of questions and thoughts; “but which is the most important—”

Related Characters: Milo (speaker), Princess of Sweet Rhyme (speaker), Princess of Pure Reason (speaker), King Azaz the Unabridged, The Mathemagician
Related Symbols: The Castle in the Air
Page Number: 234
Explanation and Analysis:

“But what about the Castle in the Air?” the bug objected, not very pleased with the arrangement.

“Let it drift away,” said Rhyme.

“And good riddance,” added Reason, for no matter how beautiful it seems, it’s still nothing but a prison.”

Related Characters: Milo (speaker), The Humbug (speaker), Princess of Pure Reason (speaker), Tock, King Azaz the Unabridged, The Mathemagician, Princess of Sweet Rhyme
Related Symbols: The Castle in the Air, Time/Tock’s Alarm Clock
Page Number: 236
Explanation and Analysis:
Chapter 19. The Return of Rhyme and Reason Quotes

“That’s why, said Azaz, “there was one very important thing about your quest that we couldn’t discuss until you returned.”

“I remember,” said Milo eagerly. “Tell me now.”

“It was impossible,” said the king, looking at the Mathemagician.

“Completely impossible,” said the Mathemagician, looking at the king.

“Do you mean—” stammered the bug, who suddenly felt a bit faint.

“Yes, indeed,” they repeated together; “but if we’d told you then, you might not have gone—and, as you’ve discovered, so many things are possible just as long as you don’t know they’re impossible.”

Related Characters: Milo (speaker), The Humbug (speaker), King Azaz the Unabridged (speaker), The Mathemagician (speaker), Princess of Sweet Rhyme, Princess of Pure Reason
Related Symbols: The Castle in the Air
Page Number: 247
Explanation and Analysis:
Get the entire The Phantom Tollbooth LitChart as a printable PDF.
The Phantom Tollbooth PDF

The Mathemagician Quotes in The Phantom Tollbooth

The The Phantom Tollbooth quotes below are all either spoken by The Mathemagician or refer to The Mathemagician. For each quote, you can also see the other characters and themes related to it (each theme is indicated by its own dot and icon, like this one:
Knowledge, Learning, and the Purpose of Education Theme Icon
).
Chapter 3. Welcome to Dictionopolis Quotes

“When they began to count all the time that was available, (…) it seemed as if there was much more than could ever be used. ‘If there’s so much of it, it couldn’t be very valuable,’ was the general opinion, and it soon fell into disrepute. People wasted it and even gave it away. Then we were given the job of seeing that no one wasted time again,” he said, sitting up proudly. “It’s hard work but a noble calling. For you see”—and now he was standing on the seat, one foot on the windshield, shouting with his arms outstretched—“it is our most valuable possession, more precious than diamonds. It marches on, and tide wait for no man, and—”

Related Characters: Tock (speaker), Milo, King Azaz the Unabridged, The Mathemagician
Related Symbols: Time/Tock’s Alarm Clock
Page Number: 34
Explanation and Analysis:
Chapter 6. Faintly Macabre’s Story Quotes

“‘Words and numbers are of equal value for, in the cloak of knowledge, one is warp and the other woof. It is no more important to count the sands than it is to name the stars. Therefore, let both kingdoms live in peace.’”

“Everyone was pleased with the verdict. Everyone, that is, but the brothers, who were beside themselves with anger.

“‘What good are these girls if they cannot settle an argument in someone’s favor?’ they growled, since both were more interested in their own advantage than in the truth.”

Related Characters: King Azaz the Unabridged (speaker), The Mathemagician (speaker), Princess of Sweet Rhyme (speaker), Princess of Pure Reason (speaker), Faintly Macabre (speaker), Milo, Tock
Related Symbols: The Castle in the Air
Page Number: 77
Explanation and Analysis:
Chapter 12. The Silent Valley Quotes

“It doesn’t make me happy to hold back the sounds,” she began softly, “for if we listen to them carefully they can sometimes tell us things far better than words.”

“But if that is so,” asked Milo—and he had no doubt that it was—“shouldn’t you release them?”

“NEVER!” she cried. “They just use them to make horrible noises which are ugly to see and worse to hear. I leave all that to Dr. Dischord and that awful, awful DYNNE.”

“But some noises are good sounds, aren’t they?” he insisted.

“That may be true,” she replied stubbornly, “but if they won’t make the sounds that I like, they won’t make any.”

Related Characters: Milo (speaker), The Soundkeeper (speaker), King Azaz the Unabridged, The Mathemagician, Princess of Sweet Rhyme, Princess of Pure Reason, Dr. Kakofonous A. Dischord, The DYNNE
Page Number: 158
Explanation and Analysis:
Chapter 15. This Way to Infinity Quotes

“How did you do that?” gasped Milo.

“There’s nothing to it,” they all said in chorus, “if you have a magic staff.” Then six of them canceled themselves out and simply disappeared.

“But it’s only a big pencil,” the Humbug objected, tapping at it with his cane.

“True enough,” agreed the Mathemagician; “but once you learn to use it, there’s no end to what you can do.”

Related Characters: Milo (speaker), The Humbug (speaker), The Mathemagician (speaker), Tock, King Azaz the Unabridged
Page Number: 188
Explanation and Analysis:
Chapter 16. A Very Dirty Bird Quotes

“I hope you found what you were looking for.”

“I’m afraid not,” admitted Milo. And then he added in a very discouraged tone, “Everything in Digitopolis is much too difficult for me.”

The Mathemagician nodded knowingly and stroked his chin several times. “You’ll find,” he remarked gently, “that the only thing you can do easily is be wrong, and that’s hardly worth the effort.”

Related Characters: Milo (speaker), The Mathemagician (speaker), Tock, The Humbug, Princess of Sweet Rhyme, Princess of Pure Reason
Page Number: 198
Explanation and Analysis:
Chapter 17. Unwelcoming Committee Quotes

“But why do only unimportant things?” asked Milo, who suddenly remembered how much time he spent each day doing them.

“Think of all the trouble it saves,” the man explained, and his face looked as if he’d be grinning an evil grin—if he could grin at all. “If you only do the easy and useless jobs, you’ll never have to worry about the important ones which are so difficult. You just won’t have the time. For there’s always something to do to keep you from what you should really be doing, and if it weren’t for that dreadful magic staff, you’d never know how much time you were wasting.”

Related Characters: Milo (speaker), Terrible Trivium (speaker), Tock, The Humbug, The Mathemagician
Related Symbols: Gifts, Time/Tock’s Alarm Clock
Page Number: 213
Explanation and Analysis:
Chapter 18. Castle in the Air Quotes

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

“And remember also,” added the Princess of Sweet Rhyme, “that many places you would like to see 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.”

“I think I understand,” Milo said, still full of questions and thoughts; “but which is the most important—”

Related Characters: Milo (speaker), Princess of Sweet Rhyme (speaker), Princess of Pure Reason (speaker), King Azaz the Unabridged, The Mathemagician
Related Symbols: The Castle in the Air
Page Number: 234
Explanation and Analysis:

“But what about the Castle in the Air?” the bug objected, not very pleased with the arrangement.

“Let it drift away,” said Rhyme.

“And good riddance,” added Reason, for no matter how beautiful it seems, it’s still nothing but a prison.”

Related Characters: Milo (speaker), The Humbug (speaker), Princess of Pure Reason (speaker), Tock, King Azaz the Unabridged, The Mathemagician, Princess of Sweet Rhyme
Related Symbols: The Castle in the Air, Time/Tock’s Alarm Clock
Page Number: 236
Explanation and Analysis:
Chapter 19. The Return of Rhyme and Reason Quotes

“That’s why, said Azaz, “there was one very important thing about your quest that we couldn’t discuss until you returned.”

“I remember,” said Milo eagerly. “Tell me now.”

“It was impossible,” said the king, looking at the Mathemagician.

“Completely impossible,” said the Mathemagician, looking at the king.

“Do you mean—” stammered the bug, who suddenly felt a bit faint.

“Yes, indeed,” they repeated together; “but if we’d told you then, you might not have gone—and, as you’ve discovered, so many things are possible just as long as you don’t know they’re impossible.”

Related Characters: Milo (speaker), The Humbug (speaker), King Azaz the Unabridged (speaker), The Mathemagician (speaker), Princess of Sweet Rhyme, Princess of Pure Reason
Related Symbols: The Castle in the Air
Page Number: 247
Explanation and Analysis: