Ultrafinitism, a philosophy that rejects the infinite, has long been dismissed as mathematical heresy. But it is also ...

Zermelo-Fraenkel set theory is so widely accepted that modern mathematicians hardly think about it. But believing in its core ...

Ice comes in more forms than what you’ll find in a freezer or a glacier. Since 1900, scientists have observed more than 20 ...

Neurons that fire together, wire together” is not the full story. A novel mechanism explains how the brain can learn across ...

The bacterial flagellar motor is finally understood after 50 years. In its workings, columnist Natalie Wolchover finds the ...

With a newly discovered mathematical tool, researchers are hoping to gain unprecedented insight into the structure of complex ...

Some quantum cryptographers want to find ways to keep messages secret even if the rules of quantum mechanics don’t hold. The ...

Those changes will be contested, in math as in other academic disciplines wrestling with AI’s impact. As AI models become a ...

Dozens of new discoveries reveal that defenses evolved by bacteria and viruses billions of years ago still define our own ...