We recently wrote about how infinitely large sets are not all the same size as each other, but we were a bit vague about what we meant by a set. The people who invented set theory also started out ...

A team of four prominent mathematicians, including two Fields medalists, proved a conjecture described as a “holy grail of additive combinatorics.” Within a month, a loose collaboration verified it ...

Teaching set theory to six-year-olds as a way into mathematics, from arithmetic on, would come to be considered misguided, overcomplicating the basics and introducing jargon. Yet however radical a ...