This statement is false. Think about it, and it makes your head hurt. If it’s true, it’s false. If it’s false, it’s true. In 1931, Austrian logician Kurt Gödel shocked the worlds of mathematics and philosophy by establishing that such statements are far more than a quirky turn of language: he showed that there are mathematical truths which simply can’t be proven.

As physicists attempt to answer some of science’s biggest questions about the universe, they are testing the limits of experimental and observational science itself. In this program leading physicists, astronomers, …

Every Google search, OKCupid date, and Netflix recommendation, and even the items and prices you see at the grocery store is uses massive amounts of data. Algorithms of increasing complexity …

Computer scientist Jasmine Lawrence’s Cool Job is solving problems: She connects families thousands of miles apart through new Facebook technology, runs a blood donation network, and started her own personal …

#YourDailyEquation  with Brian Greene offers brief and breezy discussions of the most pivotal equations of the ages. Even if your math is a bit rusty, these accessible and exciting stories …

The first electron microscopes enabled scientists to finally view the nanoworld. But because of limitations in the microscope’s lenses, achieving sharp images of individual atoms was not possible. For 60 …