Mathematical logic, set theory, lattices and universal algebra form an interconnected framework that underpins much of modern mathematics. At its heart, mathematical logic provides rigorous formal ...

Hallucination is fundamental to how transformer-based language models work. In fact, it’s their greatest asset: this is the method by which language models find links between sometimes disparate ...

Artificial intelligence continues to evolve—but not always in the same direction. While most AI companies concentrate on ...

DeepMind is pushing artificial intelligence into one of the hardest arenas in science, building a system that can navigate ...

If you’re a hacker you may well have a passing interest in math, and if you have an interest in math you might like to hear about the direction of mathematical research. In a talk on this topic [Kevin ...

Mathematics is the foundation of countless sciences, allowing us to model things like planetary orbits, atomic motion, signal frequencies, protein folding, and more. Moreover, it’s a valuable testbed ...

A mathematical model is an abstract model that uses mathematical language to describe the behaviour of a system. Mathematical models are used particularly in the natural sciences and engineering ...

The recipient of the 2024 Crafoord Prize in Mathematics discusses math as art, math as language, and math as abstract thought. It took a long time for Claire Voisin to fall in love with mathematics.