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 ...

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal model—and what that could mean for mathematics.

The infinite hotel paradox imagines a hotel with endless rooms that somehow runs out of space. Even when new guests arrive, the manager can always make room—until the logic collapses under its own ...