Join us for #YourDailyEquation with Brian Greene. Every Mon – Fri at 3pm EDT, Brian Greene will offer brief and breezy discussions of pivotal equations. Even if your math is a …

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.

IBM’s Watson has the ability to make a diagnosis. Apps can track and monitor patient emergencies. Our phones may soon be our medical advisers. Preventive and diagnostic medicine is on the cusp of an AI revolution that will no doubt save lives.

Pills the size of molecules to seek and destroy tumors. Miniscule robots performing surgery inside patients with a precision never before achieved. Nanobots, a billionth of a meter across, fixing mutations in DNA, or repairing neurons in your brain. Such are the possibilities as medicine enters the nano-era.

Microscopic, manmade nanoparticles have found their way into almost every part of our daily lives from clothing, to skin care, our cell phones, and even the soil. But how safe …

Public debate, pitting atheist against believer, typically yields a polarized picture. Might a more nuanced conversation that transcends simplistic assertions, and weaves insights from physics, biology, and psychology provide a more fruitful exchange of ideas?