Number theorist Andrew Granville on what mathematics really is — and why objectivity is never quite within reach. In 2012, the mathematician Shinichi Mochizuki claimed he had solved the abc conjecture ...

A series of recent research papers have shown that ChatGPT and related large language models can produce original, verifiable mathematical proofs, including solutions to problems that had not been ...

A graduate student recently harnessed the complexity of mathematical proofs to create a powerful new tool in cryptography.

Computers make it possible for a mathematical proof to run as long as several thousand full-length novels combined. But human beings alone cannot verify such immense proofs. That, according to Ian ...

After an eight-year struggle, embattled Japanese mathematician Shinichi Mochizuki has finally received some validation. His 600-page proof of the abc conjecture, one of the biggest open problems in ...

In a new book, the mathematical epidemiologist Adam Kucharski explains how certainty, even in math, can be an illusion. Nonfiction In a new book, the mathematical epidemiologist Adam Kucharski ...

The following is an extract from our Lost in Space-Time newsletter. Each month, we hand over the keyboard to a physicist or two to tell you about fascinating ideas from their corner of the universe.

In 1990, Marilyn vos Savant riled up scores of mathematicians with her solution to the “Monty Hall Problem.” But she was right. The following is an excerpt from Proof: The Art and Science of Certainty ...

VUB's Data Analytics Lab has published new results showing that it is possible to develop original mathematical proofs using commercial language models. In a paper posted to the arXiv preprint server, ...