1 . In the late nineteenth century, art critics regarded seventeenth-century Dutch paintings as direct reflections of reality. The paintings were discussed as an index of the democracy of a society that chose to represent its class, action, and occupations exactly as they were, wide-ranging realism was seen as the great accomplishment of Dutch art. However, the achievement of more recent study of Dutch art has been the recovery of the fact that such paintings are to be taken as symbolizing mortality, the renaissance of earthly life, and the power of God, and as message that range from the mildly moralizing to the firmly didactic. How explicit and consistent the symbolizing process was intended to be is a much thornier matter, but anyone who has more familiarity than a passing acquaintance with Dutch literature or with the kinds of images used in illustrated books (above all emblem books) will know how much less pervasive was the habit of investing ordinary objects than of investing scenes with meaning that go be-y ond their surface and outward appearance. In the mid-1960s, Eddy de Jongh published an extraordinary array of material — especially from the emblem books and vernacular literature — that confirmed the unreliability of taking Dutch pictures at surface value alone.

The major difficulty, however, with the findings of critics such as de Jongh is that it is not easy to assess the multiplicity of levels in which Dutch viewers interpreted these pictures. De Jongh’s followers typically regard the pictures as purely symbolic. Not every object within Dutch paintings need be interpreted in terms of the gloss given to its equivalent representation in the emblem books. Not every foot warmer is to be interpreted in terms of the foot warmer in Rowmer Visscher’s Sinnepoppen of 1614, not every bridle is an emblem of restraint (though many were indeed just that).

To maintain as Brown does, that the two children in Netscher’s painting A Lady Teaching a Child to Read stand for industry and idleness is to fail to understand that the painting has a variety of possible meanings, even though the picture undoubtedly carriers unmistakable symbolic meanings, too. Modern Art historians may well find the discovery of parallels be-tween a painting and a specific emblem exciting, they may, like seventeenth-century viewers, search for the double that lie behind many paintings. But seventeenth-century response can hardly be reduced to the level of formula. To suggest otherwise is to imply a laboriousness of mental process that may well characterize modern interpretations of seventeenth-century Dutch Art, but that was, for the most part, not characteristic in the seventeenth century.

2 . 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.

3 . Pricing is managers’ biggest marketing headache. It’s where they feel the most pressure to perform and the least certain that they are doing a good job. All successful pricing efforts share two qualities: The policy combines well with the company’s overall marketing strategy, and the process is well-organized as a whole.

A company’s pricing policy sends a message to the market—it gives customers an important sense of a company’s philosophy. Consider Saturn Corporation (a wholly owned company of General Motors). Saturn wants to let consumers know that it is friendly and easy to do business with. Part of this concept is conveyed through initiatives such as inviting customers to the factory to see where the cars are made and sponsoring evenings at the dealership that combine a social event with training on car maintenance. But Saturn’s pricing policy sends a strong message as well. Can a friendly, trusting relationship be established with customers if a salesperson uses all the negotiating tricks in the book to try to separate them from that last $100? Of course not. Saturn has a “no hassle, no haggle” policy which removes the possibility of conflicts between dealer and potential customer. Customers have an easier time buying a car knowing that the next person in the door won’t negotiate a better deal.

Of course, there are typically many participants in the pricing process: Accounting provides cost estimates; marketing communicates the pricing strategy; sales provides specific customer input; production sets supply boundaries; and finance establishes the requirements for the entire company’s financial health. Input from diverse sources is necessary. However, problems arise when the philosophy of wide participation is carried over to the price-setting process without strong coordinating mechanisms (协调机制). For example, if the marketing department sets list prices, the salespeople negotiate discounts in the field, the legal department adjusts prices if necessary to prevent breaking the laws or contractual agreements, and the people filling orders negotiate price adjustments for delays in shipment, everybody’s best intentions usually end up bringing about less than the best results. In fact, the company may actually lose money on some orders.

4 . 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.

6 . Obese people experience discrimination (歧视) in many parts of their lives, and the workplace is no exception. Studies have long shown that obese workers, defined as those with a body-mass index (BMI) of 30 or more, earn significantly less than their slimmer co-workers.

Yet the costs of weight discrimination may be even greater than previously thought. “The overwhelming evidence,” wrote the Institute for employment Studies, “is that it is only women living with obesity who experience the obesity wage penalty (薪资损失).” They were expressing a view that is widely aired in academic papers. To test it, The Economist has analyzed data concerning 23,000 workers from the American Time Use Survey, conducted by the Bureau of Labour Statistics. Our number-processing suggests that, in fact, being obese hurts the earnings of both women and men.

The data we analyzed cover men and women aged between 25 and 54 and in full-time employment. At a general level, it is true that men’s BMIs are unrelated to their wages. But that changes for men with university degrees. For them, obesity is associated with a wage penalty of nearly 8%, even after accounting for the separate effects of age, race, graduate education and marital status.

The conclusion — that well-educated workers in particular are penalized for their weight — holds for both sexes. Moreover, the higher your level of education, the greater the penalty. We found that obese men with a Bachelor’s degree (学士学位) earn 5% less than their thinner colleagues, while those with a Master’s degree earn 14% less. Obese women, it is true, still have it worse: for them, the equivalent figures are 12% and 19%, respectively (分别地).

Your line of work makes a difference, too. When we dealt with the numbers for individual occupations and industries, we found the greatest differences in high-skilled jobs. Obese workers in health care, for example, make 11% less than their slimmer colleagues; those in management roles make roughly 9% less, on average. In sectors such as construction and agriculture, meanwhile, obesity is actually associated with higher wages.

These results suggest that the total costs of wage discrimination borne by overweight workers in America are greater than expected. Now, it’s time for our governments to take it seriously.

In 2017 I graduated from a medical school and started to train the seniors for recovery as a therapist in the Brookdale Lake Senior Living Center where I met Hoffner, who had lived there for roughly the past decade, for the first time.

Hoffner, a lady of 104 years old now, grew up in Chicago and worked as a telephone operator for Bell Company for more than four decades. She never married or had children, but she enjoyed beach vacations and driving her small blue car touring all over the country.

She loved sports and was kind to everyone she met. She watched every Chicago Cubs game on a TV in her room and also enjoyed watching “MASH” runs. She stayed active, walking several blocks to the grocery store multiple times a week and going on walks to have a look at the neighbor’s dogs. She was known for carrying candies — Heath bars, Reese’s Peanut Butter Cups and dark chocolate — in her walker.   She shared her candies with everyone she met, but she always kept some for me.

I remembered that afternoon I and one of my patients were figuring out when the meal was served when Hoffner invited us to eat supper with her in the dining area. Since then, we three ate dinner together almost every night and Hoffner started calling me grandson.

One night two months ago, I carelessly told Hoffner over dinner that I was going skydiving in Ottawa. When Hoffner said she wanted to go, too, I thought she meant as an observer. “No, no, no, I want to jump out of a plane,” Hoffner said. My heart sank because I knew clearly what it meant to jump from an airplane at about 13,500 feet high. It might injure her.

But she made up her mind and started to do everything to prepare for it. She went to the doctor to have a check and asked me to make a training plan. With her walker she kept training every day.   

One day, I went to the dining hall and saw her sitting in a corner, sad and alone.

“Jump,” with the order of the pilot, I jumped out of the plan e following her.