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 ...

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 ...

Algebraic structures—such as groups, rings, modules and Lie algebras—provide formal frameworks for operations and symmetries that underpin vast areas of mathematics and its applications. Category ...

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 ...