AI is now helping produce research-level mathematics, but experts say verifying proofs not generating them is becoming the ...

The past five years have seen a lot of progress in the use of artificial intelligence (AI) in theoretical investigations in pure mathematics and theoretical physics. This domain is markedly different ...

In the mid-noughties, when music by the Killers and Franz Ferdinand blared out of every pub and nightclub I passed, I spent ...

A mathematician will turn a groundbreaking 100-page proof into computer code. The proof tool, Lean, lets users turn proofs written in prose into rules and logic for testing. Kevin Buzzard already uses ...

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal ...

Artificial intelligence has formally verified the prizewinning proof that solved the sphere packing problem in eight dimensions, a result closely tied to Maryna Viazovska’s Fields Medal. The ...

For ages, countless mathematicians have advanced mathematics through proofs. This is because proof is a key tool for developing new theories and solving problems. That’s why a discussion about proofs ...

Pure mathematics is the pursuit of abstract structures and relationships, independent of immediate applications, yet underpinned by rigorous proof and logical coherence. Its chief domains include ...