Incompleteness Theorems

Claude AI helps decode Kurt Gödel's unpublished 1940s notebooks

A Helsinki University project led by logician Jan von Plato has used the AI model Claude to transcribe and analyze 1,009 pages of Kurt Gödel's handwritten workbooks, written in obsolete German shorthand. Progress that previously took about a page per week was completed within days, revealing hundreds of previously unknown theorems Gödel had proved in mathematics and logic.

theguardian.com · 2026-11-13

Essay 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.

remy.wang · 2026-11-02