This video is part of our Brilliant Breakthroughs series: our new 20-episode mini-series exploring the “Eureka!” moments and proud accomplishments of the greatest scientific minds of our time. Join us …

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.

Amber Straughn brings you on her journey from the big sky of her hometown in Arkansas to studying astrophysics at NASA and demonstrates the infrared technology that will be crucial …

Nobel Prize-winning physicist Steven Weinberg spoke about science and history, drawing from his book “To Explain the World: The Discovery of Modern Science.”

Evolutionary paleogeneticist Beth Shapiro travels to the cold reaches of the world to find DNA samples of long extinct animals, such as mastodons and saber-toothed tigers. She hopes to learn …

Our genes strictly dictate our personalities, appearance and diseases. Or do they? Research has revealed that genes can turn on and off; they can be expressed for years and then silenced. Sometimes, they are never activated. And these genetic instructions—how and when DNA is read—can be determined by the experiences of one’s ancestors, even those several generations back.