“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.

Nanotechnology has found its way into a wide range of consumer products, from cell phones to odor-resistant socks. But is this tiny tech up to one of the biggest challenges …

Nobel Laureate Sir Paul Nurse joins Brian Greene for a conversation about the fundamental ideas in biology explored in his new book, What Is Life? Five Great Ideas in Biology. …

Black holes may hold the key to understanding the most fundamental truths of the universe, but how do you see something that’s, well, black? Astronomers think they have the answer. …

Using brainwaves to send a Tweet, biomechanical engineer Adam Wilson demonstrates how neural prosthetic devices can allow people with motor disabilities to communicate with the outside world. Episode filmed live …

For all that Darwin contributed to our understanding of the biological world, he was haunted by one vexing question: How does the incremental process of evolution suddenly produce, say, humans—animals who walk upright, communicate through language, and possess the brainpower to travel to the moon?