We've all been there: staring at a math test with a problem that seems impossible to solve. What if finding the solution to a problem took almost a century? For mathematicians who dabble in Ramsey ...

In a remarkable development, a human mathematician has achieved what many thought impossible: solving the centuries-old “kissing problem” in mathematics. This breakthrough, reported on October 23, ...

Little progress had been made in solving Ramsey problems since the 1930s. Now, researchers have found the answer to r(4,t), a longstanding Ramsey problem that has perplexed the math world for decades.

That translation bottleneck is not just a technicality, it is a clue to what current systems are actually doing. They excel once a problem is expressed in the formal grammar they understand, yet they ...