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 ...

Global semiconductor sales surged to a new high in 2025, underscoring the scale and speed of the industry’s rebound. According to the European Semiconductors Industry Association (ESIA), worldwide ...

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 ...

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, ...