Gerd Faltings, a number theorist at the Max Planck Institute for Mathematics in Bonn, Germany, has won the 2026 Abel Prize, ...

Gerd Faltings shocked mathematicians around the world for his 1983 proof of the Mordell conjecture, which brought together ...

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, ...

SHANGHAI/BEIJING – As artificial intelligence increasingly outperforms humans in routine cognitive tasks, a foundational assumption of modern schooling is being called into question: that all students ...

Again we have an ICE killing in which the Department of Homeland Security gets a story out first which, on its face, appears to describe an armed civilian in the process of committing a massacre of ...

Successfully introducing new characters to a popular sitcom can be challenging, but "The Big Bang Theory" is notorious for doing so on several occasions, with Melissa Rauch — who has since reunited ...

Apple has announced Apple Creator Studio, which it describes as a “groundbreaking collection of powerful creative apps designed to put studio-grade power into the hands of everyone.” Apple Creator ...

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, ...

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 ...