Apple has announced Apple Creator Studio, which it describes as a “groundbreaking collection of powerful creative apps designed to put studio-grade power into the hands of everyone.” Apple Creator ...

Joel David Hamkins is not a peripheral critic of artificial intelligence. He is a senior figure in mathematical logic whose career has unfolded inside some of the most demanding institutions and ...

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 ...

All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in general, research mathematicians don’t need to think about it ...

The idea that we might be living inside a vast computer simulation, much like in The Matrix, has fascinated philosophers and scientists for years. But a new study from researchers at the University of ...

"We have demonstrated that it is impossible to describe all aspects of physical reality using a computational theory of quantum gravity," says Dr. Faizal. "Therefore, no physically complete and ...

Scanning the crowd at a fancy soiree may reveal a wide array of neckties, each fastened with a highly complex mathematical object masquerading as fashion. An entire field of mathematics is devoted to ...

This post was updated Aug. 31 at 7:59 p.m. Warning: Spoilers for R.F. Kuang’s “Katabasis” ahead. “Katabasis” is an intriguing book for academics but possibly a challenging journey for casual readers.

The original version of this story appeared in Quanta Magazine. In 1994, an earthquake of a proof shook up the mathematical world. The mathematician Andrew Wiles had finally settled Fermat’s Last ...