GoKawiilEssay revisits Hilbert's program and Gödel's incompleteness theorems in context of AI theorem proving
A mathematical essay traces the early-20th-century foundational crisis in mathematics, from Russell's paradox through Hilbert's program for a complete, consistent axiomatic system, to Gödel's incompleteness theorems that proved such a system impossible. It notes mathematicians nonetheless continued working with systems like type theory, which now underpins interactive proof assistants such as Lean that let computers check mathematical proofs.