Human drug use began millennia earlier than believed
Anthropic has used its Claude AI to formalise Fermat’s Last Theorem using the Lean language. Formalisation means translating human arguments into code so software can verify every logical step from first principles without relying on human trust. As water drops slide over leaves, glass or plastic, they develop an electric charge. When such charged drops land on a metal surface, even one with a protective coating like Teflon, the charge creates an electric field strong enough to punch microscopic holes through the coating, allowing the water to reach the metal below, leading to rust and decay. This new discovery shows a new way in which bridges, ships, cars, and heritage sites may degrade.
Claude achieved it in 11 days, generating over 13 million lines of code and verifying 29,500 intermediate theorems, in a breakthrough for automated reasoning While mathematicians had anticipated translating the proof would take five years of painstaking work.
