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.
Invention and innovation are the mark of robotics engineer Dennis Hong’s lab. Watch as he demonstrates some of the remarkable robots that his team has built. The robots walk on …
Will Kinney joins Brian Greene to explore whether leading-edge cosmological theories can avoid a beginning to time. This program is part of the Big Ideas series, supported by the John …
Is our universe unique or one of many? What happened before the Big Bang? Why is there something rather than nothing? Physicists and cosmologists are closing in on how the …
Nobel Laureate John Mather joins Brian Greene for an in-depth discussion of evidence establishing the big bang as well as recent observations of the James Webb Space Telescope raising questions …
The mysteries of dark matter and dark energy may be evidence that we don’t fully understand the force of gravity. But when it comes to a force that has been studied mathematically and probed observationally for hundreds of years, what do we still need to learn?