Marijn Heule turns mathematical statements into something like Sudoku puzzles, then has computers go to work on them. His ...

Quantum mechanics has at last been formulated exclusively with real numbers, bringing a mathematical puzzle at the heart of ...

In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation ...

Here are three words: pine, crab, sauce. There’s a fourth word that combines with each of the others to create another common word. What is it? When the answer finally comes to you, it’ll likely feel ...

Among the myriad abilities that humans possess, which ones are uniquely human? Language has been a top candidate at least since Aristotle, who wrote that humanity was “the animal that has language.” ...

The quest to find the longest-running simple computer program has identified a new champion. It’s physically impossible to write out the numbers involved using standard mathematical notation.

Quantum mechanics has at last been formulated exclusively with real numbers, bringing a mathematical puzzle at the heart of the theory into a new era of inquiry. “Anomalous” heat flow, which at first ...

Geometry may have its origins thousands of years ago in ancient land surveying, but it has also had a surprising impact on modern physics. In the latest episode of The Joy of Why, Yang-Hui He explores ...

t started as a fantasy, then a promise — inspired by biology and animated by the ideas of physicists — and grew to become a powerful research tool. Now artificial intelligence has evolved into ...

Joseph Howlett is a math writer for Quanta Magazine. His articles have been published Scientific American, The San Francisco Chronicle and Gizmodo, among other places. He has a Ph.D.

Naomi Saphra thinks that most research into language models focuses too much on the finished product. She’s mining the history of their training for insights into why these systems work the way they ...