Kelly’s is provocative, to say the least. He suggests that at its core, good writing draws readers in by dropping certain kinds of references in a mathematical way that constitutes an “algorithm,” ...
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 ...
Ken Ono, one of the most prominent figures in modern number theory, has taken leave from the University of Virginia to join Axiom Math, an AI startup founded by his former student, Carina Hong. Ono ...
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 ...
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 ...