OpenAI's GPT-5.4 Pro has solved an open math problem unsolved since 2019, with Epoch AI independently verifying the first AI ...

Researchers at Stanford and Caltech have found some critical reasoning failures in advanced AI models. LLMs are great at recognizing patterns, but they have trouble with basic logic, social reasoning, ...

You’ve locked in on your weight loss goals, consistently cut back on calories, and made time for daily workouts. Yet after initially losing a couple of pounds, you just can’t get that number on the ...

Both the Mac and iPad versions will also be available on subscription as part of the new Creator Studio bundle When you purchase through links on our site, we may earn an affiliate commission. Here’s ...

The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...

Get set theory explained in a clear and complete way, covering everything you need to know from basic definitions to key operations and ideas. This video walks through sets, subsets, unions, ...

Years ago, an audacious Fields medalist outlined a sweeping program that, he claimed, could be used to resolve a major problem in algebraic geometry. Other mathematicians had their doubts. Now he says ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. All of modern mathematics is built on ...

Teacher education often receives criticism for being too theoretical. Many students lack more training in how to teach in practice when they enter schools. They now receive this at the University of ...

"We have demonstrated that it is impossible to describe all aspects of physical reality using a computational theory of quantum gravity," says Dr. Faizal. "Therefore, no physically complete and ...