The Notebook With the Unreliable Index: Why AI's Memory Advantage Is Real and Overstated
When a frontier model solves a competition-level math problem that would stump a Fields medalist, the default interpretation is breakthrough reasoning. Davide Piffer's widely discussed essay offers a different read: AI's edge in mathematics isn't superior thinking but a vastly larger symbolic workspace. The context window, he argues, is a "gigantic external notebook" that removes the working-memory bottleneck constraining every human mathematician. It's an elegant thesis — and it's half right in a way that makes…