OpenAI's GPT-5.2 Pro has solved multiple decades-old Erdős math problems, but Fields Medalist Terence Tao says the wins ...

Opinion polarization is often considered as the primary driver of social friction, leading to exhaustive efforts to force a consensus. However, new research suggests a more pragmatic goal: reducing ...

A Mathematician with early access to XAI Grok 4.20, found a new Bellman function for one of the problems he had been working ...

Professional mathematicians have been stunned by the progress amateurs have made in solving long-standing problems with the ...

Quick Summary The hard part isn't "can I retire." It's choosing the version of retirement you want, whether that means stopping work now and carefully managing the bridge years, or working longer to ...

These four classroom shifts can make academic risk-taking feel safer, clearer, and more worthwhile for middle school students ...

Kootenai Bridge Academy is an outlier. From the school’s self-paced educational model, location in downtown Coeur d’Alene in ...

Math teacher Emma Chiappetta uses a three-round exercise to help students not only recognize their errors, but also generate ...

New research shows that advances in technology could help make future supercomputers far more energy efficient. Neuromorphic computers are modeled after the structure of the human brain, and researche ...

GPT-5.2 Pro delivers a Lean-verified proof of Erdős Problem 397, marking a shift from pattern-matching AI to autonomous ...

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 ...