Claude interprets Gödel's manuscripts, Coq verifies hundreds of theorems
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Jan von Plato of the University of Helsinki used Claude to interpret 16 shorthand notebooks (1,009 pages in total) that Gödel wrote in the 1940s, obtaining 650 pages of explanatory notes within two days, and discovered that Gödel had already proved hundreds of theorems that no one had previously known about. These results were then put into Coq for verification: about 400 passed verification as originally stated, about 200 were repaired—that is, the theorem statements needed to be written more precisely or certain assumptions needed to be added—and about 50 were false. von Plato said that the appearance of false theorems is not surprising.
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- Hacker News AIAI 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.
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