Grok 4.5 constructed a counterexample proving hypercontractivity fails on the 4-sphere, closing a decades-old gap in ...

Math classrooms shifted over time to the discovery model. Not suddenly, and not without good intentions. There was a ...

How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – ...

Energy efficiency standards can make it more expensive to construct new buildings, but they save money for residents in the ...

Robert Reich, an emeritus professor at the University of California, Berkeley, and a former U.S. labor secretary, makes ...

The AI firm Anthropic has developed a technique that has given it the clearest glimpse yet at what’s really going on inside ...

There are only a handful of ways to shore up Social Security. Sens. Bernie Moreno and Elizabeth Warren are backing one of the ...

But the evidence indicates people should focus on diet quality, not just calorie quantity. Avoid ultra-processed foods, ...

Researchers discover a consciousness-like area in Claude's neural network where it secretly thinks [--] and consciously ...

This may sound strange coming from the co-founder of an education technology company, but I think paper is a powerful ...

Goodwood’s FOS Future Lab 2026 showcases tech set to transform how we live, work, travel & stay healthy, from Moon missions ...