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 ...

Transfinite set theory encompasses the rigorous study of infinite hierarchies, particularly those structured by ordinals and cardinals. This field has been instrumental in deepening our comprehension ...

Mathematicians and computer scientists answered major questions in topology, set theory and even physics, even as computers continued to grow more capable. Mathematicians and computer scientists had ...

Princeton graduate alumnus Avi Wigderson has won the 2023 A.M. Turing Award from the Association for Computing Machinery (ACM), recognizing his profound contributions to the mathematical underpinnings ...

A solution to P vs NP could unlock countless computational problems—or keep them forever out of reach. 1. On Monday, July 19, 2021, in the middle of another strange pandemic summer, a leading computer ...