Mathematical logic and set theory provide the foundational language for modern mathematics, articulating precise notions of proof, computability and the hierarchy of infinities. Central themes include ...

The Yang–Baxter equation is a foundational relation in mathematical physics and algebra, originally arising in studies of integrable models and low-dimensional topology. In its set-theoretic form, it ...

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. The Quanta Newsletter ...

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 ...

Established in 2008, the BLAST conference series focuses on topics in the Foundations of Mathematics. The acronym BLAST stands for ``Boolean algebra, Lattices, universal Algebra, Set theory, and ...