TOK@ISPrague

From Amie I first heard about Yitang Zhang, a solitary, part-time calculus teacher at the University of New Hampshire who received several prizes, including a MacArthur award in September, for solving a problem that had been open for more than a hundred and fifty years. The problem that Zhang chose, in 2010, is from number theory, a branch of pure mathematics. Pure mathematics, as opposed to applied mathematics, is done with no practical purposes in mind. It is as close to art and philosophy as it is to engineering. “My result is useless for industry,” Zhang said. The British mathematician G. H. Hardy wrote in 1940 that mathematics is, of “all the arts and sciences, the most austere and the most remote.” Bertrand Russell called it a refuge from “the dreary exile of the actual world.” Hardy believed emphatically in the precise aesthetics of math. A mathematical proof, such as Zhang produced, “should resemble a simple and clear-cut constellation,” he wrote, “not a scattered cluster in the Milky Way.” Edward Frenkel, a math professor at the University of California, Berkeley, says Zhang’s proof has “a renaissance beauty,” meaning that though it is deeply complex, its outlines are easily apprehended. The pursuit of beauty in pure mathematics is a tenet. Last year, neuroscientists in Great Britain discovered that the same part of the brain that is activated by art and music was activated in the brains of mathematicians when they looked at math they regarded as beautiful.

Archaeologists and officials have expressed outrage about the bulldozing of the ancient Assyrian city of Nimrud by Islamic State militants in Iraq.

A boy who dressed as a character from Fifty Shades of Grey was excluded from his school's World Book Day celebrations, according to his mother. Liam Scholes, 11, went to Sale High School as Christian Grey from the explicit novel, wearing a grey suit and carrying cable ties and an eye mask. His mother Nicola Scholes, a teacher, said the Greater Manchester school ruled the costume was "inappropriate" and excluded her son from photographs. The school is unavailable for comment. Ms Scholes said she feels Liam's outfit was actually more appropriate than some of the costumes worn by others. She said it was deemed "appropriate for a teacher to dress up as a serial killer" and "acceptable for kids to dress up as people that kill others" and "come in with [toy] guns".

It was supposed to be a celebratory occasion, a high-profile performance of a piece given life by the orchestra that commissioned it — a young composer's music played by other young musicians. Instead, the performance scheduled for Sunday of Jonas Tarm's music at Carnegie Hall by the highly regarded New York Youth Symphony (NYYS) has been canceled after it came to the attention of the ensemble's administration that the piece contains a quotation from the Nazi "Horst Wessel Lied." Born in Estonia, Tarm is a 21-year-old composer studying at the New England Conservatory in Boston. In 2014, he won the "First Music" prize from the NYYS, which resulted in the commission of a piece to be played by the orchestra at Carnegie Hall. Within the 9-minute piece called, in Ukrainian, Marsh u Nebuttya (March to Oblivion), Tarm says he used two musical quotes, each about 45 seconds long. The first is the anthem of the Ukrainian Soviet Socialist Republic, the second is the Nazi anthem, the "Horst Wessel" song. Tarm maintains that a piece of music should not necessitate further verbal explication. As such, he did not volunteer to tell the NYYS he was making those musical quotations within his piece, nor did he provide any background or context about his artistic intentions to the orchestra.

We tend to think of swear words as one entity, but they actually serve several distinct functions. Steven Pinker, in The Stuff of Thought, lists five different ways we can swear: “descriptively (Let’s fuck), idiomatically (It’s fucked up), abusively (Fuck you…!), emphatically (This is fucking amazing), and cathartically (Fuck!!!).” None of these functions require swearwords. In Bikol (a language of the Philippines), there’s a special anger vocabulary – many words have alternative words that refer to just the same thing but also mean you’re angry. In Luganda (an African language), you can make a word insulting just by changing its noun class prefix – from a class for persons to a class for certain kinds of objects, for instance. In Japanese, you can insult someone badly just by using an inappropriate form of ‘you’.

There is one clear difference, though: Iyer has not invented them. The definitions she illustrates – 60 so far, from 30 different languages – match The Meaning of Liff for absurdity, but all of them are real. There is komorebi, Japanese for ‘the sort of scattered dappled light effect that happens when sunlight shines in through trees’; or rire dans sa barbe, a French expression meaning ‘to laugh in your beard quietly while thinking about something that happened in the past’.

Turn on the radio in France in 1951 and you might have heard contributors extol the benefits of parents smacking their children. "I don't like slapping the face," one commentator says. "Slapping can harm the ears and the eyes, especially if it's violent. But everybody knows that smacking the bottom is excellent for the circulation of the blood." At the time, few would have seen that advice as abusive. It was another three decades before Sweden became the first European country to make smacking children illegal. More than 20 others have followed suit, but France has held out against the changing tide of parenting, with staunch resolve. In the wake of the European ruling this week, articles have appeared in the French media with titles such as "Smacking: A French Passion", and contributors have lined up on online forums to advocate the benefits of "la fessee", as it's known here. "We were really surprised by the response," says Christine Hernandez, a writer for France's most popular parenting magazine, Parents. "Many of our readers said that smacking is part of educating children. It's astonishing that parents still think that it's a good way to teach children how to behave. They think they have to impose their authority on children from time to time - it's part of French traditional upbringing."

Thankfully, most of this Jew-targeted hatred takes the form of verbal aggression rather than physical violence. But because many critics of Israel make no distinction between citizens of the Jewish state and the worldwide Jewish community, the J-word has been the focus. You won't see "Kill Israelis" scrawled on London synagogue walls. What you see on walls is "Kill the Jews", and on banners "Hitler was Right". And this brings me back to the point about the complexity of anti-Semitism today. It is always around and in the end it is focused primarily on the J-word, in the same way that another form of racism is focused on the N-word. Those on the receiving end find their lives shaped by it. Certainly my life, my sense of myself, has been shaped by the casual anti-Semitism that I have encountered for more than half a century. The first time I was called a "Jew" with malicious intent was September 1958 in the playground of Belmont Hills Elementary School, in the suburbs of Philadelphia. It came as a surprise. I was eight years old and up until that time had been living in New York City where everyone I encountered was Jewish. Until that moment, the word "Jew" had simply been one of the words and phrases - like "Mike", "son" and "114 East 90th Street" - whose meanings were slowly building up into a sense of who I was.

Whatever the probes find, it probably won’t help untangle the tortuous reasoning that led to Pluto and Ceres being labelled as dwarf planets in the first place. That happened in 2006, a few months after New Horizons launched and about a year before Dawn did, at a meeting of the International Astronomical Union, the organization that is in charge of classifying and naming celestial objects. The I.A.U. defines a dwarf planet according to four criteria: it must orbit the sun, it must be spherical, it must not be a satellite of another planet, and it must not have “cleared the neighborhood” of other objects of comparable size. Ceres has a diameter of fewer than six hundred miles, Pluto of about fourteen hundred miles. By comparison, Mercury, now the smallest official planet in our solar system, is more than three thousand miles across. So it’s not unreasonable, Stern says, to call Pluto both a planet and a dwarf, provided that one doesn’t cancel out the other. “I’m the one who originally coined the term ‘dwarf planet,’ back in the nineteen-nineties,” he told me. “I’m fine with it. But saying a dwarf planet isn’t a planet is like saying a pygmy hippopotamus isn’t a hippopotamus. It’s scientifically indefensible.”

ostering innovation and helping people to think analytically,

Called simply Bronze, it celebrates a metal so important it has its own age of history attached to it, and so responsive to the artist's skill that it breathes life into gods, humans, mythological creatures and animals with equal success.

It is remarkable to think that had Bronze been mounted say 15 years ago, the portrait of the past that it delivered would have been subtly different. History is very far from a done deal.

Medicine has long known about the placebo effect – the healing power of good expectations. But the nocebo effect, as its evil twin is known, may be more powerful. “It’s easier to do harm than good,” explains Watts. “And this is worrisome, because nocebo’s negative influence can be found lurking in almost every aspect of medical life and beyond.”

Newton's laws are astonishingly successful at describing the world. They explain why apples fall from trees and why the Earth orbits the Sun. But they have an odd feature: they work just as well backwards as forwards. If an egg can break, then Newton's laws say it can un-break.This is obviously wrong, but nearly every theory that physicists have discovered since Newton has the same problem. The laws of physics simply don't care whether time runs forwards or backwards, any more than they care about whether you're left-handed or right-handed.But we certainly do. In our experience, time has an arrow, always pointing into the future. "You might mix up east and west, but you would not mix up yesterday and tomorrow," says Sean Carroll, a physicist at the California Institute of Technology in Pasadena. "But the fundamental laws of physics don't distinguish between past and future."

Seventy years ago on the night of 9-10 March, in the Japanese capital, 334 American B-29 bombers dropped thousands of tonnes of incendiary bombs on the city's crowded wooden neighbourhoods. They started a fire storm that burned at over 1,000 degrees and killed more than 100,000 people.It was an event that dwarfed even the atomic bombing of Hiroshima, yet it's been all but forgotten around the world - even in Japan.