The author shows how new mathematical techniques can be used to revitalize a 650-year-old work of art.
Richard Feynman's famous diagrams weren’t just a way to do calculations. They represented a deep shift in thinking about how the universe is put together.
How quantum entanglement connects with the “many worlds” of quantum theory.
The Go-playing program teaches itself to replicate something very much like human intuition, an advance that promises far-reaching consequences.
The biologist Sean B. Carroll rediscovers the scientific thrill of an unexpected revelation.
The irreversibility of time may be a clue as to what makes up the universe’s dark matter.
Machine learning works spectacularly well, but mathematicians aren’t quite sure why.
The physical nature of computers might reveal deep truths about their uniquely powerful abstract abilities.
Einstein refused to believe in the inherent unpredictability of the world. Is the subatomic world insane, or just subtle?
Computers can translate French and prove mathematical theorems. But can they make deep conceptual insights into the way the world works?