1 . Ariel Procaccia has thought a lot about how to cut a cake over the last 15 years. As the father of three children, he knows how hard it is to divide a birthday cake to everyone’s satisfaction. But it’s also because Procaccia’s work focuses on exploring the mathematical rules for dividing stuff up fairly. One way to do that is to think abstractly about dessert.

For decades, researchers have been asking the seemingly simple question of how to cut a cake fairly. The answer reaches far beyond birthday parties. A mathematical problem at its heart, cake cutting connects strict reasoning to real-world issues of fairness, and so attracts not only mathematicians, but also social scientists, economists and more. “It’s a very elegant model in which you can distill what fairness really is, and reason about it,” Procaccia says.

The simplest approach is called the “divider-chooser” method, where one person cuts the cake into two equal pieces in his view, and the other person picks first. Each receives a piece that they feel is as valuable as the other’s. But when personal preferences are taken into account, even the easiest rule becomes complicated. Suppose Alice and Bob are to divide a cake, and Alice knows Bob prefers chocolate, she may knowingly divide the cake unequally so the smaller piece contains more chocolate. Then Bob will choose according to his preference, and Alice will get the larger piece. Both of them are satisfied with what they get, but the meaning of fairness changes in this situation.

The cake is a symbol for any divisible good. When cake-cutting principles are employed to settle disagreements, they are potentially helping the world find solutions. Procaccia has used fair division algorithms (算法) to model food distribution. Social scientist Haris Aziz is exploring situations ranging from how to divide up daily tasks to how to best schedule doctors’ shifts in hospitals.

Even after decades of investigation, cake cutting isn’t like a simple jigsaw puzzle (拼图) with a well-defined solution. Instead, over time, it has evolved into a kind of mathematical sandbox, a constructive playground that brings together abstract proofs and easy applications. The more researchers explore it, the more there is to explore.

2 . Conflict in communities is usually about the task or the person. Of course, sometimes it’s hard to separate one from the other.

Task conflict happens when people have different ideas of what needs to be done. It points to potential differences in opinion about everything you can imagine that is essential for a group: mission, priorities of tasks, compensation mechanism (机制), decision-making mechanisms, etc. Task conflict is not a problem when people realize the source of the conflict is the task and not the people. Community members must resolve tension inclusively with everyone’s voice being heard and acknowledged. However, this does not mean that the solution must include everyone’s opinion. After the conversation, everyone should feel that they had a fair chance to express their opinion and that it was taken seriously by others and not brushed aside.

Conflict between people is tricky because it’s attacking a person’s essence and self-worth. Often this form of conflict, relationship conflict, happens when two conditions are met: First, people have different values or are holding different assumptions, and secondly, neither party can see beyond their own biases. With relationship conflict, the person is perceived to be the problem and is being attacked by others. Each party assumes that most people are on their side and that the other person is acting out of self-interest. This eventually leads to people disagreeing with each other, not for the task’s sake but to prove the other person is wrong.

Sometimes conflict originates in a task. People might prefer different tools or different approaches. If this initial controversy is ignored or not dealt with appropriately, the relatively easy task conflict turns into a more complex relationship conflict. When relationship conflict occurs, a lot of things are reactive rather than reflective. People stop thinking and act impulsively (冲动地).

All in all, remember that every culture has its own way of handling conflict. Some people consider it dishonest if an argument is not addressed openly, while in other cultures, such a discussion will not be acceptable. It comes down to “Don’t assume everyone thinks like you”.

We Survived Getting Swallowed by a Whale

Respect and revere (敬畏) nature. I’m Julie, 56 years old, living in San Luis Obispo, California, about four miles from the beach. Every few years, the humpback whales come into the bay for several days while migrating.

In November 2020, the whales were around, so I took out my yellow double kayak (皮划艇) to watch the wildlife. I paddled out the pier (长堤) and saw seals, dolphins, and about 20 whales feeding on silverfish. They sprayed through their blowholes. Each one is huge, about 15 metres long. Sometimes they turned side fins as if waving at me. It was incredible.

At the time, my friend Liz was with me. We had met 28 years earlier. I asked Liz if she wanted to see the whales. I really wanted to share the magnificent experience with her.

“No way,” she said. She’s terrified of whales and sharks. I promised that the craft was stable and safe enough. Moreover, humpback whales couldn’t swallow down kayaks for their throats were tight even though they had enormous mouths and white-wall-like internal mouth structures, not to mention that we got paddles and life jackets. After some persuasion, Liz finally agreed.

We set off at about 8:30 the next morning. There were already about 15 other kayakers in the bay. One hour later, I spotted two whales right past the pier, swimming toward us. We were in awe, feeling amazed to be so close to a creature that size.

When whales swam down after breaching (跃身激浪), they disappeared in ripples. I figured if we paddled there, we’d be safe since they’d just left. We followed them at a distance—or what I thought was a distance. I later learned that it’s recommended to keep 90 metres away, or about the length of a football   field. We were probably 18 metres away.

All of a sudden, a swarm (群) of fish started jumping out of the water into our kayak. Their movement sounded like crackling glass. Now I knew we were too close. I was terrified. Then our kayak was lifted out of the water—about two metres—and tipped back into the ocean. I figured the whale was going to drag us down somehow, and I had no idea how deep.

I didn’t realize that Liz and I sitting in the kayak were in the whale’s mouth.

Thankfully, the whale spitted us out, people paddling to help, shooting videos.

4 . As a traveler with a disability, I have always avoided cruises. This expedition-style small-ship cruise changed my mind.

When our expedition leader ________ we would make a Zodiac (卓迪船) ________ at Jan Mayen, a tiny island in the Arctic Ocean, I stepped out onto my balcony aboard our ship, ________ to find clear skies and calm seas. ________, I was met with a gust of wet wind and a view of mist-covered mountains in the distance. Jan Mayen wasn’t on our itinerary (行程), and due to its ________ location and often unpredictable weather, very few people ever ________ the island. I knew the ________ weren’t ideal, but I wasn’t going to let that stop me.

In fact, the possibility of ________ adventures was one of the reasons I chose this small-ship cruise. So I ________ joined my shipmates in the mud room, where we put on waterproof clothes and life jackets before hopping in the Zodiacs for a bumpy ________ to a black-sand beach. Even the fierce wind and rain couldn’t ________ our excitement as we ________ our way to the beach and hiked to a viewpoint, pausing to photograph little purple flowers ________ the volcanic rocks.

Our visit there wasn’t about what we could do or see. It was an opportunity to just be—to exist in a brief ________ on a tiny, often inaccessible, volcanic rock in the Arctic. And that’s something I never thought I’d ________ in my lifetime.

7 . In Favour of Simple Writing

Do you edit text messages carefully before sending them? If so, you may be the kind of person who takes pride in _______ even the simplest message. If you do not, you may see yourself as a go-getter, one who values excitement and speed over _______: get it done decently now rather than perfectly later.

People are constantly receiving messages, from the mailbox to the inbox to the text-message alert. What to read, what to skim (略读) and what to ignore are decisions that nearly everyone has to make dozens of times a day. A new book titled All Readers are Busy Nowadays makes the argument for being the careful kind of _______, even in informal lines. The authors also present well-established _______ that have long been prized in guides to writing.

Take “less is more”. Most books on writing well advocate the advice to _______ needless words. The authors, however, have _______ the idea. In an email to thousands of school-board members asking them to take a survey, cutting the count from127 to 49 words almost _______ the response rate.

Keeping messages to a _______ idea—or as few as absolutely needed—helps ensure that they will be read, remembered and acted on. _______ the number of the available options has the same effect, too. A link in an email, ________, attracted 50% more clicks when presented alone than when it was sent alongside a second additional link.

Syntax (句法) and ________ matter, too. It is more ________ to adopt short and active sentences, with common words familiar to everyone. From Facebook posts to online-travel reviews, even brief, informal pieces of writing that follow these rules get more likes and shares.

If everyone is a busy reader, everyone is a busy writer, too. That may make it tempting to sent as many messages as ________ as possible and hope for the best. But from essays to text messages organizing dinner plans, devoting time to the needs of readers has provable ________. If you are so busy that you write an undisciplined message which readers scan, ignore and delete, then you might as well have not ________ it at all.

8 . Those who had the pleasure of watching Benny Goodman at work saw a rather ordinary-looking man in rimless glasses and a conservative business suit; but they also saw a human being who could play the clarinet(单簧管) like no one before or since. This made Benny Goodman a unique individual.

Other Americans who have stood out from the flock include Joe DiMaggio, Beverly Sill, Ernest Hemingway and Jonas Salk. They, like Benny Goodman, were recognized and honored for no other reason than excellence.

It is doing something better than other people that makes us unique. Yet a surprising number of people still see individuality as a surface thing. They wear garish clothes, dye their hair strange colors and decorate their skin with tattoos to make some kind of social statement. But an ordinary guy who has dyed his hair purple or orange is nothing more than the same person with a funny-looking head.

The whole purpose of individuality is excellence. Those who invent, who improvise(即兴发挥), who know more about a subject than other people do, and who take something that doesn’t work and make it work––these people are the very soul of capitalism.

Charles Kettering didn’t like the idea of cranking a car to make it start, so he invented the electric starter. Henry Ford figured out the assembly-line technique and made it possible to mass-produce automobiles, and Elisha Otis, inventor of the elevator, indirectly created the city sky-line. These people understood that individualism means working at the top of one’s capacity.

The ones with the purple hair and the funky jewelry are just along for the ride, trying to be “different” and not knowing how to go about it.

The student who earns straight A’s on his report card has grasped the idea and has found the real meaning of individuality. So has the youngster who has designed his own spaceship, who gives piano recitals, who paints pictures of the world around him.

Benny Goodman understood it too. This is why he was at his best, blowing his clarinet, in a blue suit and black shoes.

Tom is a special child. Ever since he was little, dogs have been his greatest passion. He often growled (低吼) and barked and sometimes moved around the house on all fours. His parents brought in a little brown female dog named Lynn. Tom was on cloud nine. One day, this little boy, together with Lynn, was sitting quietly down by the side of the street when suddenly a giant dog walked across him. He was a little surprised and started screaming as loudly as he could! All of this frightened Lynn away immediately.

Tom’s parents tried to see what the chances were of Lynn coming home on her own. But five days later, there was still no sign of Lynn. The boy didn’t just have tears streaming down his cheeks — his parents were saddened too.

The woods behind their home stretched for over 50 miles! Together with their neighbors, they searched for over a month. But Lynn was gone. Tom’s parents wanted to choose a new puppy for him. But no dog could replace Lynn for him.

Tom was not the same boy. He locked himself in his room. He seemed to have lost his love for dogs. He could not focus his attention on his classes so he didn’t want to go to school. He would easily get angry with people around him. Tom changed from a happy, smiling boy to an upset and annoying kid.

Tom’s parents wanted him to stay home and he had been studying at home ever since. His parents accompanied him almost every day, but staying home didn’t help much. The boy’s mother worried a lot. One rainy afternoon, she saw him staring out the window. “I miss Lynn so much. I wonder if everything is okay with her?” It had been a long time since his beloved dog ran away, but Tom’s despair was as great as the day it happened. Days later, Tom walked out the front door with his head down and sat by the side of the street.

A huge brown dog crossed the street and stood in front of the crying boy.

Tom ran after Lynn and entered the woods.