Ultrafinitism, a philosophy that rejects the infinite, has long been dismissed as mathematical heresy. But it is also producing new insights in math and beyond. His two theorems destroyed the search ...

Before he changed the way we understand lightning on Earth, Joseph Dwyer studied the weather in more cosmic settings. Using the sensors on NASA’s Wind satellite, orbiting a million miles away, he ...

The sunlight-collecting organelles known as chloroplasts solve a packing problem: how to optimize photosynthesis without ...

Remarkably preserved fossils found in southern China offer a fascinating window into what life looked like at the end of the ...

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 ...