The Agent-R1 framework provides a path to building more autonomous agents that can reason and use tools in unpredictable, ...

The field of Reverse Mathematics explores the minimal axiomatic frameworks necessary to prove classical theorems, seeking to elucidate the logical foundations of mathematics. In parallel, ...

Reverse mathematics is a vibrant programme in mathematical logic that investigates the axioms necessary to establish fundamental theorems throughout mathematics. Central to this endeavour are ...

For years, the idea that we might be living inside a vast computer program has drifted from philosophy seminars into ...

Many different processes in nature can be understood through similar mathematical principles, said L. Mahadevan, professor of applied mathematics, biology and physics at Harvard, in a lecture to a ...

It’s wild to think that a math puzzle from the 1200s is now helping power AI, encryption, and the digital world we live in.

At the 2024 International Mathematical Olympiad (IMO), one competitor did so well that it would have been awarded the Silver Prize, except for one thing: it was an AI system. This was the first time ...

A graphic artist is testing everyone’s knowledge of algebra and attention to detail with a pictograph math problem that assigns numbers to different plants. Gergely Dudás, of Budapest, Hungary, shared ...

“The parentheses feel artificial.” The octonions’ seemingly unphysical nonassociativity has crippled many physicists’ efforts to exploit them, but Baez explained that their peculiar math has also ...

If you’ve ever heard the phrase “the music of the spheres,” your first thought probably wasn’t about mathematics. But in its historical origin, the music of the spheres actually was all about math. In ...

This time of year finds me at my cabin in the Upper Peninsula surrounded by nature. And appreciating nature is enhanced by understanding the underlying mathematics and physics. For example, Einstein ...