Take a jaunt through a jungle of strange neurons underlying your sense of touch, hundreds of millions of years of animal ...
Take a jaunt through a jungle of strange neurons underlying your sense of touch, hundreds of millions of years of animal evolution and the dense neural networks of brains and AIs.
Years ago, an audacious Fields medalist outlined a sweeping program that, he claimed, could be used to resolve a major ...
The reason we can gracefully glide on an ice-skating rink or clumsily slip on an icy sidewalk is that the surface of ice is ...
Large language models such as ChatGPT come with filters to keep certain info from getting out. A new mathematical argument ...
Is language core to thought, or a separate process? For 15 years, the neuroscientist Ev Fedorenko has gathered evidence of a ...
In mathematics, ubiquitous objects called groups display nearly magical powers. Though they’re defined by just a few rules, groups help illuminate an astonishing range of mysteries. They can tell you ...
Researchers have used metamathematical techniques to show that certain theorems that look superficially distinct are in fact logically equivalent.
All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in general, research mathematicians don’t need to think about it ...
Mathematicians have broken through a long-standing barrier in the study of “minimizing surfaces,” which play an important role in both math and physics. In the mid-19th century, the Belgian physicist ...
Every Tuesday, editor in chief Samir Patel sits down with writers and editors to discuss our most thought-provoking stories in science and math. Audio editions of Quanta’s stories with Susan Valot ...