Rational artificial intelligence sounds simple on paper: build systems that make sensible decisions based on goals, evidence, and logic. Yet the moment you try to define what rational means, you run ...

Using high school algebra and geometry, and knowing just one rational point on a circle or elliptic curve, we can locate infinitely many others. You’re sitting at the end of a long conference table, ...

An eminent mathematician reveals that his advances in the study of millennia-old mathematical questions owe to concepts derived from physics. Mathematics is full of weird number systems that most ...