AI unlocks Gödel's notebooks, said to contain hundreds of proved theorems

A Helsinki University project led by logician Jan von Plato used the AI model Claude to digest 1,009 pages of Kurt Gödel's 1940s "workbooks" written in Gabelsberger shorthand, revealing hundreds of previously unknown proved theorems and 14 unpursued themes in logic. Claude found 663 theorems for which Gödel had a proof, sketch or idea; when checked in the Coq proof assistant, about 400 were verified as stated, about 200 were repaired and about 50 were false. Von Plato said Claude's reconstruction of a proof of the independence of the axiom of choice, which passed Coq, suggests Gödel had been telling the truth when he claimed in 1966 to have already proved the result.