“The infinite! No other question has ever moved so profoundly the spirit of man,” said David Hilbert, one of the most influential mathematicians of the 19th century. A subject extensively studied by philosophers, mathematicians, and more recently, physicists and cosmologists, infinity still stands as an enigma of the intellectual world.

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.

Winners of the prestigious 2010 Kavli Prizes—biennial international awards that recognize seminal advances in astrophysics, nanoscience and neuroscience, and include a cash prize of $1 million in each field— were …

This program, Ending the Epidemic: Science Advances on AIDS, brings together leading researchers on the forefront of scientific efforts to understand and attack the virus that causes AIDS. Moderator Richard …

In March 2014, scientists working on the BICEP2 telescope at the South Pole reported an incredible discovery: a swirling pattern in the cosmic background radiation that appeared to indicate the presence of gravitational waves.

The oceans remain a realm of mystery, with an astonishing 95% still unmapped, but their secrets are starting to be revealed. Journey into the deep to explore exciting discoveries like …