As you wrote in your paper, you can think of a proof as a social compact — a sort of mutual agreement between the author and their mathematical community. We’ve seen an extreme example of this not ...

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.

Computer-assisted of mathematical proofs are not new. For example, computers were used to confirm the so-called 'four color theorem.' In a short release, 'Proof by computer,' the American ...

Proof-assistant software handles an abstract concept at the cutting edge of research, revealing a bigger role for software in mathematics.

A new math proof could help us map the inside of the Earth in unprecedented detail. Gunther Uhlmann of the University of Washington, one of Vasy’s coauthors, has been working on the problem for ...

A new computer program fashioned after artificial intelligence systems like AlphaGo has solved several open problems in combinatorics and graph theory.

The proof — a gargantuan effort — validates the intricate and far-reaching Langlands programme, which is often hailed as the grand unified theory of mathematics but remains largely unproven.

Proofs have core assumptions on which everything else hinges—and many of the philosophically fraught questions about mathematical truth and reality are actually about this starting point.