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 ...
After German mathematician Gerd Faltings proved the Mordell conjecture in 1983, he was awarded the Fields Medal, often described as the “Nobel Prize of Mathematics.” The conjecture describes the set ...
Researchers have developed an artificially intelligent system that does the exact opposite of living in the moment. But it doesn’t just think a few steps ahead—it thinks millions of steps ahead. A ...
When you swing a tennis racket or catch a set of keys, you aren’t thinking about wind resistance or gravity. Yet, to perform that motion, your brain is solving a massive physics problem in ...