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 ...

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 ...

Neuromorphic computers modeled after the human brain can now solve the complex equations behind physics simulations — something once thought possible only with energy-hungry supercomputers. The ...

Mathematicians love the certainty of proofs. This is how they verify that their intuition matches observable truth. This logical love of proofs is uniquely suited to opening up the black box of ...

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 ...