Set theory underpins modern mathematical logic by providing a unified language for defining fundamental mathematical objects and analysing their properties. At its core lies the Zermelo–Fraenkel ...

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. All of modern mathematics is built on ...

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 ...