For decades, mathematicians have struggled to understand matrices that reflect both order and randomness, like those that ...

The new science of “emergent misalignment” explores how PG-13 training data — insecure code, superstitious numbers or even ...

The effects of insufficient water are felt by every cell in the body, but it’s the brain that manifests our experience of ...

Strong new evidence suggests that primordial material from the planet’s center is somehow making its way out. Continent-size ...

A canonical problem in computer science is to find the shortest route to every point in a network. A new approach beats the ...

Explore Quanta’s artificial intelligence coverage.AI may sound like a human, but that doesn’t mean that AI learns like a human. In this episode, Ellie Pavlick explains why understanding how LLMs can ...

Quanta’s award-winning coverage of computational complexity, quantum computing, artificial intelligence, cryptography and more.

To tell truth from fiction, start with quantitative thinking, argues the mathematician Rebecca Goldin.

The mathematicians Günter Ziegler and Martin Aigner have spent the past 20 years collecting some of the most beautiful proofs in mathematics.

“I find it really amazing how far into the future they predict” a system’s chaotic evolution, said Herbert Jaeger, a professor of computational science at Jacobs University in Bremen, Germany. The ...

Edward Witten reflects on the meaning of dualities in physics and math, emergent space-time, and the pursuit of a complete description of nature.