Take Fermat’s Last Theorem, for example: short and sweet enough to scribble in a margin, but a proof took more than 350 years and the development of multiple new fields of math to find.

For example, if there’s a type called “Nat,” meaning ... which involves representing mathematical concepts, theorems and proofs in a rigorous, computer-verifiable format. That allows the sometimes ...

For example, among the 3,044 ... with new ways of thinking about familiar mathematical objects.” Mathematicians who are already skeptical of Mochizuki’s abc proof may well consider Scholze ...

Acceptance of the work in Publications of the Research Institute for Mathematical ... emerge.” A proof, if confirmed, could change the face of number theory, by, for example, providing an ...

For 50 years, mathematicians have believed that the total number of real numbers is unknowable. A new proof suggests otherwise. In October 2018, David Asperó was on holiday in Italy, gazing out a car ...

An error in a proof underlying a widely used branch of modern mathematics was accidentally discovered by mathematicians while translating old proofs to a computer ...

Today, for example, we have computerized proofs by ... What should we do, then, when a mathematical proof of truth is unavailable, but we must nonetheless act?