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In Math, Rigor Is Vital. But Are Digitized Proofs Taking It Too Far?
The quest to make mathematics rigorous has a long and spotty history — one mathematicians can learn from as they push to formalize everything in the computer program Lean.
How Writing Changes Mathematical Thought
David E. Dunning explores how mathematical notation is a social, world-building technology.
Are Strings Still Our Best Hope for a Theory of Everything?
Columnist Natalie Wolchover examines the latest developments in the “forever war” over whether string theory can describe the world.
The Jellies That Evolved a Different Way To Keep Time
Off the coast of Japan, biologists netted a pea-size jellyfish with an unusual circadian clock — a chance finding that suggests there are likely more overlooked biological timekeeping mechanisms to be discovered.
Quantum Cryptography Pioneers Win Turing Award
Charles Bennett and Gilles Brassard were recognized for their foundational work in quantum information science.
The Math That Explains Why Bell Curves Are Everywhere
The central limit theorem started as a bar trick for 18th-century gamblers. Now scientists rely on it every day.
Why Do Humanoid Robots Still Struggle With the Small Stuff?
The last decade has seen vast improvements in humanoid robots, but graduating to widespread use might require going back to the fundamentals.
Where Some See Strings, She Sees a Space-Time Made of Fractals
Pushed down to a certain scale, the laws of physics seem to fall apart. Astrid Eichhorn, a leader in an area of study called asymptotic safety, thinks we just need to push a little further.
Disorder Drives One of Nature’s Most Complex Machines
Every second, hundreds to thousands of molecules move through thousands of nuclear pores in each of your cells. A new high-definition view reveals the machine in action.