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

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

To live we all need the same thing, the air around us and the oxygen it carries. But when our air is polluted we damage one of our most valuable resources. One person who feels strongly about it is ...

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

The laws of physics that concern heat and work could gain a firmer mathematical footing thanks to “gauge theory”, which ...

Manjee: Students use screens only for end-of-lesson check-ins — giving teachers real-time info about who's on track and who's ...