Features

Computer Proof Race 2880 Lede 1024x521

How Close Are Computers to Automating Mathematical Reasoning?

In the 1970s, the late mathematician Paul Cohen, the only person to ever win a Fields Medal for work in mathematical logic, reportedly made a sweeping prediction that continues to excite and irritate mathematicians — that “at some unspecified future time, mathematicians would be replaced by computers.” Cohen, legendary for his daring methods in set theory, predicted […]

How Close Are Computers to Automating Mathematical Reasoning? Read More »

Whalefall

Whales get a second life as deep-sea buffets

Last October, a team of marine explorers sent Hercules — a remote-controlled vehicle — to the bottom of the ocean. Its mission: to visit an octopus neighborhood. It was off the coast of central California, near an undersea volcano. Late one night, after scanning a long stretch of empty seafloor, Hercules’ spotlight and camera revealed a parade of

Whales get a second life as deep-sea buffets Read More »

Unnamed 1

Your Hyperbolic Mind

The human brain is both a marvel and a mystery of evolution: Packed into a volume about one-quarter that of an inflated soccer ball, somewhere around 86 billion neurons form networks that enable us to do everything from mindlessly scrolling through Instagram to safely sending people into space. But a deeper understanding of the structure of those

Your Hyperbolic Mind Read More »

FB.nn 1024x651

Symbolic mathematics finally yields to neural networks

More than 70 years ago, researchers at the forefront of artificial intelligence research introduced neural networks as a revolutionary way to think about how the brain works. In the human brain, networks of billions of connected neurons make sense of sensory data, allowing us to learn from experience. Artificial neural networks can also filter huge

Symbolic mathematics finally yields to neural networks Read More »

Magnets

Exotic super magnets

ONE April night in 1820, the Danish experimentalist Hans Christian Øersted made a remarkable discovery. By bringing an electrical wire near a compass lying on his workbench, he found its needle could be made to shiver and dance. Whether a lucky accident or an inspired bit of experimentation, that moment cemented Øersted’s reputation. What he

Exotic super magnets Read More »

Strange 1024x577

How math makes movies like Doctor Strange so otherworldly

For wild chase scenes, it’s hard to beat Doctor Strange. In this 2016 film, the fictional doctor-turned-sorcerer has to stop villains who want to destroy reality. To further complicate matters, the evildoers have unusual powers of their own. “The bad guys in the film have the power to reshape the world around them,” explains Alexis Wajsbrot. He’s a

How math makes movies like Doctor Strange so otherworldly Read More »

R20190920 Cover 2

Extreme Weather: Will Global Warming Produce More Disasters?

Climate scientists say that rising global temperatures caused by greenhouse gas emissions are making some extreme weather events increasingly likely and severe. They predict that heat waves, wildfires, hurricanes and other weather-related disasters will continue to set records and send damage costs soaring, even as countries around the world pledge to reduce emissions in response

Extreme Weather: Will Global Warming Produce More Disasters? Read More »