Intuition breaks down once we’re dealing with the endless. To begin with: Some infinities are bigger than others.

Henry Yuen is developing a new mathematical language to describe problems whose inputs and outputs aren’t ordinary numbers.

They ask us to believe, for example, that the world we experience is fundamentally divided from the subatomic realm it’s built from. Or that there is a wild proliferation of parallel universes, or ...

Create a reading list by clicking the Read Later icon next to the articles you wish to save.

An exploration of how mathematicians are still renovating and rebuilding the core pillars of their field today.

Innovations in imaging and genetic engineering are coming together to probe the biophysics of cytoplasm inside living animals.

The V-JEPA system uses ordinary videos to understand the physics of the real world.

Explore the year’s most surprising computational revelations, including a new fundamental relationship between time and space, an undergraduate who overthrew a 40-year-old conjecture, and the ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms.

We describe electricity as a flow, but that’s not what happens in a typical wire. Physicists have begun to induce electrons to act like fluids, an effort that could illuminate new ways of thinking ...

In the 1960s, the Soviet climatologist and mathematician Mikhail Budyko set out to investigate the potential future of a planet on the brink of nuclear Armageddon. He started by looking some 600 ...