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

Technology is now part of family life in a way that feels almost too normal to notice. It is in schoolwork, weekend cartoons, ...

I just can’t imagine someone doing that to another human being.” In the press, Short became known as “The Black Dahlia,” and ...

Many students appear to be completing assignments faster while learning less from them. This conclusion comes from one of the largest studies of how generative AI is changing student behavior and ...

The P vs NP problem is a fundamental question in computer science, unproven for decades, with immense consequences. If ...

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 ...

Artificial intelligence is mastering the kinds of projects that have long helped to build the careers of young mathematicians. What does that mean for their future? Credit...Illustrations by Yoshi ...

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 ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...

A recent announcement that an artificial intelligence model succeeded in solving a decades-old mathematical problem that had eluded generations of accomplished mathematicians was widely portrayed as ...

“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 ...

For many people, it’s not only the original fear that causes suffering. It’s the fear of experiencing fear itself. Because of the discomfort somatically and emotionally, it can lead to avoidance, ...