Problem Solving

AI Is a Math Genius. That’s the Problem.

AI can produce flawless mathematical proofs, but it lacks the ability to distinguish trivial from profound. The real crisis isn’t whether AI will replace mathematiciansโ€”it’s that we’re losing the art of mathematical storytelling and taste. As Terence Tao notes, AI dwells on trivialities while obscuring the most interesting parts. The bottleneck shifts from computation to problem selection.

You’re Wrong About Magic Hexagons (And Probably About Everything Else)

For decades, magic hexagons were thought to be possible only for orders 1 and 3. Then a mathematician redefined the constraintsโ€”and suddenly they existed for every order. This isn’t just a math trick; it’s a blueprint for breaking through any ‘impossible’ barrier in your work. The lesson: question your assumptions, not your abilities.

The Mind-Blowing Math Trick That Makes Route Planning 100x Faster (And It’s Not AI)

A 19th-century Rolodex and a fractal curve can solve the Traveling Salesman Problem faster than most AI. This article reveals the mathematical trick behind it โ€“ spacefilling curves that reduce complex routing to simple sorting. Discover why the most elegant solution often comes from the least expected place.

The AI Math ‘Miracle’ That Should Terrify You

An AI claims to have solved six open Erdล‘s problems in five days. The breakthrough isn’t what you think. The real story is how the definition of ‘hard problem’ is shifting, and what that means for human expertise. It’s not about AI’s power โ€” it’s about our fear of being replaced.