The San Francisco 49ers have been tied to a viral conspiracy in recent months, claiming their rash of injuries stems from practicing next to an electrical substation. The theory suggests ...

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 ...

Get set theory explained in a clear and complete way, covering everything you need to know from basic definitions to key operations and ideas. This video walks through sets, subsets, unions, ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. All of modern mathematics is built on ...

Hallucination is fundamental to how transformer-based language models work. In fact, it’s their greatest asset: this is the method by which language models find links between sometimes disparate ...

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 ...