Zermelo-Fraenkel set theory is so widely accepted that modern mathematicians hardly think about it. But believing in its core principles didn’t come easily.

Algebraic structures form the backbone of many modern mathematical disciplines, providing abstract frameworks that capture the essence of operations and relations. Duality theory, in this context, ...

Model theory offers a robust logical framework for exploring the intricacies of algebraic structures, bridging abstract logic and concrete algebraic systems. Through the examination of models – ...

A team of four prominent mathematicians, including two Fields medalists, proved a conjecture described as a “holy grail of additive combinatorics.” The Quanta Newsletter ...