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.

How does the brain retrieve memories, articulate words, and focus attention? Recent advances have provided a newfound ability to decipher, sharpen, and adjust electrical signals relevant to speech, attention, memory …

What’s it like to face a faceless world? Acclaimed neurologist Oliver Sacks once apologized for almost bumping into a large bearded man, only to realize he was speaking to a mirror.

Probability is the backbone of science, but how well do you understand it? Odds are, not as well as you think; it is a surprisingly subtle concept that is often misunderstood, sometimes even by professionals who use it to guide crucial and far-reaching decisions.

The inflationary theory of cosmology, an enduring theory about our universe and how it was formed, explains that just after the Big Bang, the universe went through a period of rapid expansion. This theory has been critical to understanding what’s going on in the cosmos today.

Bestselling author Dan Brown joins physicist Brian Greene for a fascinating conversation on reality, religion, and the future of AI—just as Brown’s newest book The Secret of Secrets hits shelves. …