An international team of physicists, centered at Trinity, has proven new theorems in quantum mechanics that describe the "energy landscapes" of collections of quantum particles. Their work addresses ...

Imagine a juggler tossing balls into the air. The art of juggling is a dance between motion and pause, where the ball’s speed slows as it ascends, and then quickens on the way down. This dance reveals ...

At 25, Kurt Gödel proved there can never be a mathematical “theory of everything.” Columnist Natalie Wolchover explores the implications. In 1931, by turning logic on itself, Kurt Gödel proved a pair ...

His incompleteness theorems destroyed the search for a mathematical theory of everything. Nearly a century later, we’re still coming to grips with the consequences. In 1931, the Austrian logician Kurt ...

Highly powered writers I respect recently recommended the book Trees, maps, and theorems by Dr. Jean-luc Doumont as a set of coherent recommendations for improving communications, and I am happy to ...

You don’t need a human brain to do maths — even artificial intelligence can write airtight proofs of mathematical theorems. An AI created by a team at Google has proven more than 1200 mathematical ...