Mathematicians excel at handling complexity and uncertainty. Mathematical reasoning strategies aren't just useful for dilemmas involving numbers. We can apply math mindsets to improve our approach to ...

How bees, beer cans and big data all solve the same problem: not enough space. By Steven Strogatz Photo illustrations by Jens Mortensen Each installment of “Math, Revealed” starts with an object, ...

Research team led by Peking University says dual-agent approach bridges the gap between reasoning and formal machine verification A Chinese artificial intelligence framework has autonomously resolved ...

Scientists are flocking to DeepSeek-R1, a cheap and powerful artificial intelligence (AI) ‘reasoning’ model that sent the US stock market spiralling after it was released by a Chinese firm last week.

You probably don’t need more time. By Jancee Dunn When I look back on all the major decisions I’ve dithered over, I could scream. It took me a decade to commit to becoming a parent. I wavered for a ...

Imagine that your focused mind is like your right hand, and your unfocused mind is like your left. You'll get more done by using both. And it lightens cognitive load. Using only focused effort is like ...

The Greek philosopher Plato wrote about Socrates challenging a student with the "doubling the square" problem in about 385 B.C.E. When asked to double the area of a square, the student doubled the ...

For decades, scientists have tried and failed to explain how the force that binds the heart of atoms together really works.