The progress in AI over the past decade is beginning to suggest answers to some of our deepest questions about human intelligence. Below, Tom Griffiths shares five key insights from his new book, The ...

More than a century after publishing major papers in theoretical mathematics, German-born Emmy Noether continues to challenge ...

Mathematics is one of the oldest disciplines of study. For all its antiquity, however, it is a modern, rapidly growing field. Only 70 years ago, mathematics might have been said to consist of algebra, ...

At the frontiers of theoretical physics, many of the most popular ideas have one thing in common: they begin from a mathematical framework that seeks to explain more things than our currently ...

A century after Erwin Schrödinger sketched out a bold vision for how we perceive color, scientists have finally filled in the missing pieces. A Los Alamos team used advanced geometry to show that hue, ...

For centuries, the concept of infinity has captivated mathematicians and philosophers alike, stretching far beyond the simple idea of endless counting. Recent groundbreaking discoveries, however, have ...

Over the past century, quantum field theory has proved to be the single most sweeping and successful physical theory ever invented. It is an umbrella term that encompasses many specific quantum field ...

Mathematicians say knots cannot exist in four-dimensional space because the extra dimension allows a rope to move around itself and untangle, revealing surprising insights into geometry and topology.

A mathematical theory of human behaviour may re-organise the social sciences in the same way that Darwin’s Theory of Evolution re-organised the biological sciences, according to new research from the ...