The one source of truth is mathematics. Every statement is a pure logical deduction from foundational axioms, resulting in absolute certainty. Since Andrew Wiles proved Fermat’s Last Theorem, you’d be ...

OpenAI makes big splash with AI finding math problem breakthrough. Real lesson is to use AI to find counterexamples. An AI ...

The closest the field has come to solving the planar unit distance problem, first proposed in the 1940s, was in 1984. Now, OpenAI claims an internal model has cracked the puzzle.

A new AI startup tells Axios that proofs created by its algorithms have now been published in several peer-reviewed academic journals. Why it matters: AI proponents have for years been saying that the ...

Forbes contributors publish independent expert analyses and insights. Anisha Sircar is a journalist covering tech, finance and society. This voice experience is generated by AI. Learn more. This voice ...

A statement can be true or false. But as Kurt Gödel demonstrated, there will always be mathematical assumptions that can ...

A mathematical proof is irrefutably true, a manifestation of pure logic. But an increasing number of mathematical proofs are now impossible to verify with absolute certainty, according to experts in ...

Computers make it possible for a mathematical proof to run as long as several thousand full-length novels combined. But human beings alone cannot verify such immense proofs. That, according to Ian ...