The number of American teens who excel at advanced math has surged. Why?
On a sultry evening last July, a tall, soft-spoken 17-year-old named David Stoner and nearly 600 other math whizzes from all over the world sat huddled in small groups around wicker bistro tables, talking in low voices and obsessively refreshing the browsers on their laptops. The air in the cavernous lobby of the Lotus Hotel Pang Suan Kaew in Chiang Mai, Thailand, was humid, recalls Stoner, whose light South Carolina accent warms his carefully chosen words. The tension in the room made it seem especially heavy, like the atmosphere at a high-stakes poker tournament.
Stoner and five teammates were representing the United States in the 56th International Mathematical Olympiad. They figured they’d done pretty well over the two days of competition. God knows, they’d trained hard. Stoner, like his teammates, had endured a grueling regime for more than a year—practicing tricky problems over breakfast before school and taking on more problems late into the evening after he completed the homework for his college-level math classes. Sometimes, he sketched out proofs on the large dry-erase board his dad had installed in his bedroom. Most nights, he put himself to sleep reading books like New Problems in Euclidean Geometry and An Introduction to Diophantine Equations.
After getting shut down late last year, a website that allows free access to paywalled academic papers has sprung back up in a shadowy corner of the Internet.
There’s a battle raging over whether academic research should be free, and it’s overflowing into the dark web.
Most modern scholarly work remains locked behind paywalls, and unless your computer is on the network of a university with an expensive subscription, you have to pay a fee, often around 30 dollars, to access each paper.
Many scholars say this system makes publishers rich—Elsevier, a company that controls access to more than 2,000 journals, has a market capitalization about equal to that of Delta Airlines—but does not benefit the academics that conducted the research, or the public at large. Others worry that free academic journals would have a hard time upholding the rigorous standards and peer reviews that the most prestigious paid journals are famous for.
The ancient civilization may have tracked Jupiter using sophisticated methods, but their reasons for stargazing were very different than ours.
We’ve never escaped the influence of the Babylonians. That there are 60 seconds in a minute, 60 minutes in an hour, and 360 degrees in a full circle, are all echoes of the Babylonian preference for counting in base 60. An affinity for base 12 (inches in a foot, pence in an old British shilling) is also an offshoot, 12 being a factor of 60.
All this suggests that the Babylonians had a mathematics worth copying, which was why the Greeks did copy it and thereby rooted these number systems in Western tradition. The latest indication of Babylonian mathematical sophistication is the discovery that their astronomers knew that, in effect, the distance traveled by a moving object is equal to the area under the graph of velocity plotted against time. Previously it had been thought that this relationship wasn’t recognized until the fourteenth century in Europe. But since historian Mathieu Ossendrijver of the Humboldt University in Berlin found the calculation described in a series of clay tablets inscribed with cuneiform writing in Babylonia during the fourth to the first centuries B.C.E., where it was used to figure out the distance traveled across the sky by the planet Jupiter.
For decades, some psychologists have claimed that bilinguals have better mental control. Their work is now being called into question.
In one of his sketches, comedian Eddie Izzard talks about how English speakers see bilingualism: “Two languages in one head? No one can live at that speed! Good lord, man. You’re asking the impossible,” he says. This satirical view used to be a serious one. People believed that if children grew up with two languages rattling around their heads, they would become so confused that their “intellectual and spiritual growth would not thereby be doubled, but halved,” wrote one professor in 1890. “The use of a foreign language in the home is one of the chief factors in producing mental retardation,” said another in 1926.
A century on, things are very different. Since the 1960s, several studies have shown that bilingualism leads to many advantages, beyond the obvious social benefits of being able to speak to more people. It also supposedly improves executive function—a catch-all term for advanced mental abilities that allow us to control our thoughts and behavior, such as focusing on a goal, ignoring distractions, switching attention, and planning for the future.
The Islamic State is no mere collection of psychopaths. It is a religious group with carefully considered beliefs, among them that it is a key agent of the coming apocalypse. Here’s what that means for its strategy—and for how to stop it.
What is the Islamic State?
Where did it come from, and what are its intentions? The simplicity of these questions can be deceiving, and few Western leaders seem to know the answers. In December, The New York Times published confidential comments by Major General Michael K. Nagata, the Special Operations commander for the United States in the Middle East, admitting that he had hardly begun figuring out the Islamic State’s appeal. “We have not defeated the idea,” he said. “We do not even understand the idea.” In the past year, President Obama has referred to the Islamic State, variously, as “not Islamic” and as al-Qaeda’s “jayvee team,” statements that reflected confusion about the group, and may have contributed to significant strategic errors.
After a pair of poor showings in New Hampshire, Chris Christie and Carly Fiorina drop out of the race.
The Republican race is headed to South Carolina with two fewer candidates. The day after finishing sixth and seventh in the New Hampshire primaries, New Jersey Governor Chris Christie and former Hewlett-Packard CEO Carly Fiorina announced on Wednesday that they were suspending their campaigns.
Fiorina was always a long shot—she was practically a political newcomer, having only run one unsuccessful Senate campaign. And while her record at HP was vulnerable to attack, Republican figures saw in her both private-sector experience and a woman who could counter Hillary Clinton’s monopoly on a “historic” woman’s candidacy. While many political professionals sniffed at Fiorina’s candidacy, remembering that 2010 Senate race, she broke out after a commanding performance in the undercard to the first Republican debate. That earned her a promotion to the main stage at the next debate, where she scored another victory. But it was all downhill from there. Dogged by questions of honesty and unable to earn media attention, her campaign faded quickly.
The move raises the stakes of the presidential election for those concerned about global warming.
However worrying Tuesday was for the success of xenophobic politics in America, it might have been more worrying for the planet’s climate.
In the early evening, the Supreme Court temporarily blocked the implementation of the Obama administration’s Clean Power Plan, a set of Environmental Protection Agency regulations which would limit greenhouse-gas emissions from the power sector.
Issued last summer, the rules are the centerpiece of the White House’s climate-change-fighting agenda, and they play a big part in the recent, tepid optimism about global warming. Without the proposal of the plan, the United States couldn’t have secured the Paris Agreement, the first international treaty to mitigate greenhouse-gas emissions, last December. And without the adoption of the plan, the United States almost certainly won’t be able to comply with that document. If the world were to lose the Paris Agreement—which was not a total solution to the climate crisis, but meant to be a first, provisional step—years could be lost in the diplomatic fight to reduce climate-change’s dangers.
This morning I went on Democracy Now to discuss my critique of “class-first” policy as a way of ameliorating the effects of racism. In the midst of that discussion I made the point that one can maintain a critique of a candidate—in this case Bernie Sanders—and still feel that that candidate is deserving of your vote. Amy Goodman, being an excellent journalist, did exactly what she should have done—she asked if I were going to vote for Senator Sanders.
I, with some trepidation, answered in the affirmative. I did so because I’ve spent my career trying to get people to answer uncomfortable questions. Indeed, the entire reason I was on the show was to try to push liberals into directly addressing an uncomfortable issue that threatens their coalition. It seemed wrong, somehow, to ask others to step into their uncomfortable space and not do so myself. So I answered.
Everything that was supposed to be silenced is suddenly being said.
The tight grip of oligarchy upon the American political system slipped a little last night in New Hampshire.
On the Democratic side, voters cast their ballots for one of the most implausible candidates in modern presidential history—less because his rhetoric was so mesmerizing or his program so inspiring than as a protest against an expected winner perceived as a lavishly compensated servitor of organized wealth.
In her concession speech, Hillary Clinton boasted of her small donors. More than 70 percent had given less than $100, she claimed: “I know that doesn’t fit with the narrative.” As Ken Vogel of Politico immediately tweeted, the claim also distorts the facts. Clinton may have a lot of donors, but the bulk of the value of her donations—85 percent—has come from the biggest givers. And her family’s personal wealth, and its foundation’s assets, can also be seen as built on the largesse of banks, corporations, and foreign governments.
The Warriors star is the embodiment of basketball’s analytics revolution.
The Golden State Warriors are now some 15 months in to their turn as one of the best teams in basketball history. Last season, they won 67 games, the most in the NBA in eight years, and secured a championship in June against LeBron James and the Cleveland Cavaliers. This season’s Warriors make last season’s Warriors look like a team that hadn’t yet gotten loose. They started the year winning their first 24 games in a row, a record opening, and as of now have won 46 of 50.
Golden State’s brilliance is more than just statistical. The Warriors are a basketball idyll, a paradise of skill and collaboration. Their offense runs on nifty ballhandling, willing passing, and sublime shooting, with their point guard and reigning NBA Most Valuable Player acting as ringleader. A slim 6’3” and 185 pounds, with a bouncy jog and a barely post-pubescent tuft of beard at his chin, Stephen Curry dribbles with the intentional abandon of a card hustler, flings one-handed passes to all sectors of the court, and shoots better than anyone ever has.
Russell Simmons on advocating the world’s most pretentious diet
A couple shares their experience.
How Star Lotulelei of the Carolina Panthers made it to the NFL