On Sunday evening, as Spain and Argentina played out the World Cup final, the mathematician Levent Alpöge posted a short message on X. The Jacobian conjecture, he wrote, is false. He thanked a friend ...

That question is at the center of today’s workplace morale challenge. Similarly, employee engagement has remained under pressure: Gallup’s 2026 State of the Global Workplace reports that global ...

Michelle Charlesworth reports on the findings. NEW YORK CITY -- New York City has spent years battling its notorious rat problem, but a new study suggests rodents may be adapting to many of the ...

PHILADELPHIA (WPVI) -- If the thought of mice and rats makes your skin crawl, then the phrase "mutating mice" probably sounds like something out of a horror movie. But researchers say it's a real, ...

Only Slate Plus members can gift Slate stories. Become a member to share 10 free articles a month. Sign up for the Slatest to get the most insightful analysis, criticism, and advice out there, ...

Why is Christian Science in our name? Our name is about honesty. The Monitor is owned by The First Church of Christ, Scientist, and we’ve always been transparent about that. The church publishes the ...

Think about placing dots on a flat surface. You want as many pairs as possible to be separated by the same distance. For any amount of dots, what is the greatest possible number of pairs that can be ...

Movie S4. Task solution in Experiment 3. This movie shows a bee solving the task in Experiment 3. The beginning of the video (habituation phase, without the ball present) is shown at accelerated speed ...

Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...

“If you are a mathematician,” one of the world’s leading mathematicians recently wrote, “you may want to make sure you are sitting down before reading further.” And you’ll definitely need to sit down ...

Last week, OpenAI shocked the mathematical community by revealing that one of its internal artificial intelligence (AI) models had found a counterexample to a famous conjecture made by legendary ...

Turns out, Ukraine has got cards. Just last fall, Russia was inexorably advancing on the battlefield, money was running out and President Trump was pressing a peace deal on terms that favored Moscow.