Here’s a profound question about beards: is the number of acrobats with beards the same as the number of bearded people who are acrobats? Go with your gut instinct. It’s not a trick question. If you answer ‘yes’, then you’ve understood the central idea behind Bayes’s theorem. If you’re one of those people who likes
There are lots of reasons why non-scientists should be forced to study mathematics, but it’s hard to see why mathematicians should bother with literature. Literature is part of the entertainment industry: emotional manipulation, crippled by cheap assertions and hollow arguments. Maths is intellectual. Maths has rigorous standards. Literature hides guff under its pretty phrases. Hart
The deeper you get into physics, the simpler it becomes. The starting point of this wonderful book about Stephen Hawking’s ‘biggest legacy’ (which no one outside of physics has heard of) is the problem of our insignificance. Make a change in almost any of the slippery, basic physical properties of the universe and we’re toast
Helgoland is a craggy German island in the North Sea. Barely bigger than a few fields, it reaches high above the water on precipitous cliffs and is famous for its sweet air. It has a town and a harbour, and the 1,000-odd inhabitants speak a distinct dialect. In the summer of 1925, the 23-year-old physicist
The cosiest way to read The End of Everything, Katie Mack’s fast-paced book about universal death, is as a murder mystery. Everything in spacetime, including the reader’s understanding of much of the story, is in the shadows. Black holes, quarks and gluons, Cepheid variables, the Concordance Model? Mere words, strewn across the floor. Believability, restraint
The advantage of reviewing books by a friend is that you can invite him out for a walk across the South Downs and menace him with blunt questions. Books pages editors call this sort of thing ‘backscratching’ and ‘logrolling’, as if, instead of engaging in proper criticism, you and your mate had spent the time
Physicists have a nerve. I know one (I’ll call him Mark) who berates every religious person he meets, yet honestly thinks there exist parallel universes, exactly like our own, in which we all have two noses. He refuses to give any credit to Old Testament creation myths and of course sneers at the idea of
I’ve got a mathematical problem. Birth of a Theorem is by one of the great geniuses of today, a cosmopolitan, liberal-minded man who helps his wife look after their children, likes big-hearted folk songs, welcomes diversity and wears the same jewellery as I do. But as a contribution to the genre of popular maths, the
Two million pounds can buy you consideration for a place on a medical trial! Every year untold numbers of potential cancer therapies are abandoned. There is simply not enough money to test all the promising drugs and interventions. To my astonishment, I’ve had an idea about how to curb this appalling waste. I am not
In Scandinavia, gene therapists have invented a virus that may treat the cancer that killed multi-billionaire Steve Jobs — but are going to have to throw it out, because of lack of cash. I am in Uppsala, Sweden, sitting among pipettes and centrifuges, helping the professor in charge to set up a rescue fund for
It’s the way Caroline pisses onto the concrete during the lunch break that delights her work colleagues: in a steaming, splattery arc. It’s the way Caroline pisses onto the concrete during the lunch break that delights her work colleagues: in a steaming, splattery arc. ‘It seemed to them an eloquent demonstration of the fact that
A good story is made of bones. It’s the reader’s job to flesh it into intimacy. In Helen Simpson’s adventurous new collection, In Flight Entertainment, the best stories rattle like skeletons; the worst, squelch. The title piece is about a bullying businessman on a plane, up-graded to first class, pontificating: the scam of carbon-offsetting; the
Any proof pleases me: if I could prove by logic that you would be dead in five minutes, I should be sorry you were going to die, but the sorrow would be very much mitigated by my pleasure in the proof. G. H. Hardy, one of the finest mathematicians of the 20th century and author
‘I find that the earth is not as round as it is described, but it is shaped like a pear,’ Christopher Columbus wrote after his return from America, ‘with a woman’s nipple in one place, and this projecting part is highest and nearest heaven.’ Determining the shape of the surface on which we live is,
Some people’s lives drive you into a rage. Alan Turing’s is one. In The Man Who Knew Too Much David Leavitt unexpectedly compares him to Alec Guinness playing Sidney Stratton in The Man in the White Suit. Like Stratton, who invented a suit that would never wear out, Turing was a brilliant scientific deviant, interested
HERMIT WANTEDFree meals and accommodation.Situated on grand estate.Would suit the quiet type. When Giles and Ginny married ‘it was like a great clanging-together of bank vaults that rang out across the land’. Now Ginny demanded a savage. She had discovered an empty cave in the woods, and it needed to be occupied. The applicant to
I can’t decide whom I distrust more in True Story: the author, a humane and thoughtful man, or his subject, Joe Longo, who butchered his wife and youngest son, then drowned his other children by tying them up in a sack and dropping them into a lake like unwanted kittens. True Story is written by