Chapter 5: The map is not the territory
...... More for the joy of running than for any
concern about being late for morning assembly, Kip, Wolfgang, and Paul ran down
the front steps of their dorm, and cut diagonally across the Dalambertian to
the side entrance of Founders Hall. Before going in, Kip licked his hand and
brushed down his hair with it.
...... The auditorium had a stage and theater-style
seats, except that the seats weren't padded. The place smelled of disinfectant
and of old bubble gum. Hung on the wall behind the stage was a huge banner.
Against a blue background, it displayed an A in red surrounded by a green laurel
wreath under which was the motto Veritas in white. It was the same emblem that
adorned the Amdexter boys' school caps.
...... Kip and co. slid into center seats about
five rows from the front.
...... "Funny," said Kip, scanning the
auditorium. "No girls here."
...... "There will be next year," said
Paul. "ESAP girls. Dr. Ralph said Amdexter needed a year to get used to
the idea."
...... A half-minute or so later, another kid,
Alex, slipped in beside Kip. "What happened to you?" said Kip.
...... Alex described his fight with Todd. And
then he complained about the punishment.
...... "Copying lines?" said Paul. "That's
a lot better than them docking our allowance."
...... "That wouldn't work at Amdexter,"
said Alex. "Most of the Amdexter kids are rich and have infinite
allowances."
...... "Boy, I wish I had an infinite
allowance," said Paul. "By the way, like what did you call him?"
...... "Pigface," said Alex at a whisper.
...... Paul giggled. "Pigface? Sweet!"
...... Just then, Kip heard a thump and felt an
earthquake. Looking behind, he saw a kid kicking Alex's seat back. The kid looked
furious and Alex, who had also turned around to look, seemed scared. Must
be that Todd kid. The boy had obviously chosen to sit behind Alex as a form
of intimidation. While Todd glared at Alex, Kip studied the kid; he had dull
eyes and a round face. He was stocky, even fat, but not someone to get into
a fight with. The kid shifted his gaze and found Kip's eyes. Startled, Kip spun
forward again--and saw that the headmaster had come onto the stage.
...... The headmaster held up his hands, then called
out "Veritas!" in a loud voice.
...... "Veritas!" came the shouted reply
from many voices.
...... "For you new boys," said the Headmaster,
"Veritas is the motto of the school--the Amdexter School. It means truth
in Latin." He half-turned and pointed to the banner which also proclaimed
Veritas. He talked about the "history and traditions embodied in this ancient,
sacred banner." Then he turned back to the sea of boys. "All right,
let's try it again. Veritas!"
...... "Veritas!" came the reply, louder
than the last time. But Kip, Paul, and Wolfgang didn't join in. Neither did
Alex.
...... The headmaster made some announcements about
changes of schedules, school events, and cautions about personal hygiene and
general neatness. And he reminded the boys that fourth period classes were canceled
because of the start-of-school convocation in the chapel. "I expect every
boy to attend." Then he said, "Now, I'd like to address a few comments
to the ESAP boys." He smiled. "Not F-school boys." He took in
the wider audience. "Apparently, they don't like being called that."
...... Most of the audience laughed politely. The
boys in grey shorts didn't. Instead, they whispered among themselves.
...... "Gentlemen," said the headmaster,
in a voice of command. "I expect your undivided attention." The boys
went silent, and he continued. "I've had some complaints from Amdexter
boys,"--the headmaster gazed upon the boys in grey shorts sitting clustered
together--"about an issue of equal treatment. You ESAP boys are excused
from Sunday chapel, and some feel that is not equitable. Furthermore, Brother
Kenji feels that you are missing out on an important part of our school life."
...... Kip, Paul, and Wolfgang exchanged worried
glances.
...... "I hasten to add," said the headmaster,
speaking slowly--not hastening at all, "that Kenji Wakabayashi is not only
our chaplain, but he also holds a doctorate in philosophy."
...... "Holds a doctorate?" Paul whispered.
"Is, like, he holding it for ransom?"
...... "And so it has been decided,"
the headmaster went on, "that every Sunday, after the religious service,
ESAP boys will report to the chapel for an ongoing one-hour course on ethics,
taught by Dr. Wakabayashi."
...... "What?" Kip mouthed, silently.
...... "That's not fair," another ESAP
boy called out.
...... "Ha, ha," came Todd's voice from
behind.
...... "We feel it is especially important,"
the headmaster went on, "to expose you future scientists to moral teachings."
He raised a hand as if in farewell. "Let me close with the words of Virgil:
Inventas vitam iuvat excoluisse per artes--Let us improve life through
science and art."
...... "I bet he's also a Latin teacher,"
Kip whispered.
...... "Assembly dismissed," said the
headmaster. "Veritas!"
...... "Veritas!"
...... The headmaster walked to the side of the
stage and disappeared in the curtains.
...... Once outside the auditorium, Alex went off
to his next class while Kip, Paul and Wolfgang joined a group of ESAP boys coalescing
in the hall. In the five minutes before the start of first period, the boys
decided they'd fight the unethical ethics course, and would make a battle plan
during their own assembly--after sixth period, at Feynman Hall.
...... The bell rang and the three started away
toward their classes.
...... The headmaster," said Paul, "makes
it sound like they're doing us a big favor allowing us dirty barbarians to come
to their precious school."
...... "Well," said Wolfgang as they
walked, "I heard my dad tell mom that Amdexter was horribly in debt, just
about bankrupt. If it wasn't for ESAP, they have had to sell the school to some
religious cult. Moon worshipers or something."
...... At a junction of hallways, the three slowed.
"Yeah," said Wolfgang, "ESAP bought the land for our school from
Amdexter but Amdexter still owes a lot of money." Then he veered off toward
Social Studies while Kip and Paul continued straight toward the Language Wing.
...... "Sounds like they need us," said
Paul, picking up the pace.
...... "I guess," said Kip.
...... When they'd walked through the door into
Latin-I, Kip saw that Todd was there as well. Kip would have expected Todd to
be bristling with hostility, but the kid was all smiles.
...... The Latin master, old as Caesar's dog, instructed
them in the mysteries of the first declension: Femina, feminae, feminae, feminam,
femina. Rote memory, and for Kip it was no fun at all. He glanced at Paul to
share a look of misery--but Paul seemed to be lapping it up, his eyes alert,
his body forward, his expression eager. Kip understood; Paul liked to memorize
things.
...... At the end of the class, as Kip and Paul
headed for the door, Todd came up to them and said he wanted to have a private
talk with Paul.
...... Kip and Paul exchanged shrugs and then Kip
walked outside the door and waited for his friend. A few minutes later Paul
and Todd came out. Todd walked briskly away.
...... "What was that all about?"
said Kip, softly, his eyes on Todd's back.
...... "Todd said he'd pay me ten dollars
if I do his hundred lines."
...... "The punishment he got for fighting?"
...... Paul nodded. "He told me all Amdexter
kids have lots of money."
...... "Are you going to do it?" said
Kip.
...... "Yeah. Why not?" Paul smiled.
"I don't mind the copying. I was planning to memorize some Shakespeare,
anyway. And, like, now somebody's going to pay me to do it."
...... Kip pursed his lips for a moment. "You
know," he said, "it seems sort of wrong, somehow."
...... "It makes me feel a little funny, too,"
said Paul. "But I'm not going to think about it now."
...... Kip gave an uneasy laugh. "And with
the extra money, you won't have to worry about them docking your allowance if
you ever get punished."
...... "Yeah, I know." Paul waved and
headed off to English.
...... Kip, happy that he'd survived Latin unscathed,
strolled leisurely on to his second period class--Social Studies, another subject
he was not particularly crazy about.
...... Entering the classroom, Kip noticed that
both Alex and Todd were in the class--this time sitting far apart: Alex in the
second row and Todd way in the back. Todd probably picked the back so he
can goof off. And Alex chose the front because it's far from Todd. Kip slid
in to the seat next to Alex.
...... To Kip's surprise, the class turned out
to be fun. The master, Neville Thomas, was enthusiastic and energetic, and spoke
in an exotic, British accent. He said that the subject would be the ancient
world, except Rome--they'd probably learn all about Rome in Latin.
...... Alex didn't even seem remotely interested
in the class. He was drawing horses. Glancing sideways at Alex's open notebook,
Kip was impressed; the drawings were really good.
...... "Since this class is made up of bloodthirsty
boys," Mr. Thomas went on, "I've decided we'll explore the period
by following the military battles of the Greeks." He ambled through the
classroom as he talked. "At its height, under Alexander the Great, the
Greek empire covered a million square miles and included modern-day Egypt, Iran,
Iraq, Turkey, Syria, Afghanistan, Pakistan, and even western India."
...... At the mention of Alexander the Great, Alex
looked up, but only briefly before returning his attention to his drawing.
...... While lecturing, Mr. Thomas meandered to
Alex's desk and, without any pause in his speaking, gently closed Alex's notebook
as he walked by.
...... The class ended and Kip went off to his
next--English. And it was good; Kip got along fine with everybody, regardless
of the color of their shorts. After that, Kip was scheduled for Phys. Ed, but
it had been canceled because of the convocation.
...... Talking in the hallway with Wolfgang after
English, Kip said he was going to skip the convocation.
...... "But the headmaster said we've got
to go to it."
...... "He's not my headmaster,"
said Kip. "And anyway, he said, I expect every boy to attend. He
didn't say we had to attend." Kip clenched his fist. "I'm really
mad about that ethics course. He must think scientists are monsters or something.
So I'm not going anywhere near that chapel unless I absolutely have to."
...... "Well, okay," said Wolfgang, haltingly.
"I'll skip the convocation, too."
...... Just before going to Founders for lunch,
Kip darted to his dorm room to pick up his bassoon; his fifth period class was
orchestra.
...... The all-school orchestra turned out not
to be very large and Kip found he was the entire bassoon section. Still, it
was fun--even if the music was only light classical.
...... Finally, done with Amdexter for the day,
Kip jogged to Feynman Hall for his own school's assembly, and also the fun part
of school, his math and science classes. Loping into Snack Bar, he saw the words
'Gedanken Today!' on the blackboard and that a large part of the floor in front
of the board had been striped with masking tape, turning the surface into something
like a big sheet of graph paper with half meter sized squares. Double fun!
...... But the atmosphere of Snack Bar was not
one of fun; a small mob of boys grumbled about the ethics course. As more boys
arrived, the mob became the school assembly, and the grumbling morphed into
a long, heated discussion about how to respond. Finally, a decision was made;
the Feynman School boys would simply cut the ethics class.
...... Just then, Dr. Ralph walked in carrying
a plastic shopping bag. "What's going on?" he asked.
...... "Sir," said one of the boys, Charles
Yang, "is science evil?"
...... "What?" Dr. Ralph laughed. "That's
like asking, is science purple." He looked with concerned eyes at the kids
before him. "Why? What's happened?"
...... Charles told him about the required ethics
course. "...and its going to be taught by Brother Wakabayashi. The headmaster
said he's also a philosopher."
...... Dr. Ralph chuckled. "Wakabyashi is
probably harmless."
...... "But only ESAP kids have to take it,
and he's going to teach it in the chapel," said Charles. "So I think
it's really going to be sermons or something."
...... "I see." Dr. Ralph shook his head
slowly, then said, "That probably violates the operating agreement between
our schools." He sighed. "I'll see what I can do."
...... "Does our school have a motto?"
asked another of the boys.
...... "Motto?" Dr. Ralph seemed puzzled
by the change of subject.
...... "Yeah," said the boy. "The
Amdexter motto is veritas. The headmaster said it means truth."
...... "We have a motto, too," said Dr.
Ralph. "Scientia. It's on your blazer badges. It means knowledge."
He gave a soft nod, as if to himself. "A slightly more modest motto, I'd
say. As for truth?" He shrugged. "Truth is something of a subjective
idea. And...and in quantum mechanics for example, one might say there are multiple
truths."
...... "What does that mean?" said Kip.
"Multiple truths. Isn't truth, truth?"
...... "Well, I was thinking about the two
truths of the wave-particle duality. When an electron, for example, needs to
be a particle, it's a particle, and when it needs to be a wave, it's a wave.
So what is it in truth, a wave or a particle?" Dr. Ralph smiled. "You'll
learn about that soon enough."
...... "When?" said Kip.
...... "Soon." Dr Ralph went to the front
of the room. "The philosopher of science, Alfred Korzybski, " he began,
"wrote 'the map is not the territory'. The territory is the universe and
the map is the words we use to describe it. And for quantum mechanics, for instance,
we just don't have the right words--which might be why there seems to be multiple
truths. You guys, we hope, might come up with those right words. And that's
what the ESAP is all about."
...... "I hope," said Charles with a
laugh, "that they won't be the kind of words that used to get my mouth
washed out with soap."
...... Dr. Ralph chuckled. "Probably not."
He walked with his shopping bag up to the blackboards. "The words will
likely have something to do with probability. In some sense, at least for quantum
mechanics, probability seems to be reality."
...... Kip wrinkled his nose, and apparently Dr.
Ralph noticed it.
...... "Yeah," said Dr. Ralph. "I
know I'm sounding more like a philosopher than a scientist. But long ago, physics
was called 'natural philosophy'. So, yes, all of us physicists are philosophers
in a way." He scowled for a brief instant. "In fact, I don't see how
anyone can claim to be a philosopher these days without having studied
physics."
...... "So you're saying Brother Wakabybaby
knows quantum mechanics," Charles called out. "I reeealy doubt it."
...... "Be nice," said Dr. Ralph firmly,
but with a smile. "I don't want there to be friction between ESAP and Amdexter."
...... "Is there a quantum philosophy?"
said Kip.
...... Dr. Ralph seemed bemused. "You know,
there might be." He paused. "Yes, there probably is."
...... "How about quantum ethics?" said
Charles. "That's a course I would take."
...... "Quantum ethics," said Dr. Ralph,
thoughtfully. "An intriguing thought. Or quantum morality. Yes. There probably
is such a thing."
...... "You say 'probably' a lot," said
Paul.
...... "Oh?" Dr. Ralph smiled. "I
suppose I do. It probably goes with being a quantum theorist."
...... Charles giggled.
...... "But probably is related to probability,"
said Dr. Ralph with a theatrical flourish. "Before we can explore quantum
physics, we'll have to first spend some time on probability."
...... Kip raised his hand. "Dr. Linda gave
us a question about probability--about whether probability can be different
for different people. But she didn't tell us the answer."
...... "And I won't either," said Dr.
Ralph. "It may be that the word probability is the wrong map to cover the
territory." He pointed at the graph-paper floor. "And speaking of
maps.... Now you guys are going to generate an important probability curve."
.(To see how the boys generate
a bell curve, click here.)
..... Later, as Kip walked out of Feynman Hall,
he turned to Wolfgang. "What do you think of there being multiple truths--truth
depending on who observes it?"
...... "I don't know. I'll let you know the
next time I get in trouble with my dad for telling him an...alternate version
of the truth."