How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – ...

Grok 4.5 constructed a counterexample proving hypercontractivity fails on the 4-sphere, closing a decades-old gap in ...

Thomas Mulligan examines how cutting-edge artificial intelligence has finally cracked a trio of legendary mathematical ...

During World War II, statistics helped the Allies estimate the number of enemy tanks, which proved essential in the decisive ...

When checking that solutions to certain problems are correct, it turns out, you can’t get around the inherent complexity of ...

Many students appear to be completing assignments faster while learning less from them. This conclusion comes from one of the largest studies of how generative AI is changing student behavior and ...

A fireworks display launches 40 fireworks in sequence. Each firework reaches a random height, independent of the height that ...

For years, physicists were stuck in trying to explain an important mathematical problem in physics. The right approach ended ...

The transcript explores Goldbach’s conjecture, the simple-looking claim that every even number greater than 2 can be written as the sum of two primes. It follows the problem from Euler and Goldbach to ...

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