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 …

What are the special challenges, pitfalls, opportunities and rare triumphs of seeking and synthesizing the essence of someone whose passion—quantum physics, number theory, nucleic acids, atomic species, computational design, gravitational phenomena—is so thoroughly foreign to the concerns of everyday life?

“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.

Can conscious self-awareness be coded in an algorithm? According to distinguished computer scientist Lenore Blum and Turing Award Laureate Manuel Blum the answer is “yes,” and they join Brian Greene …

Paralyzed patients are starting to walk with the aid of exoskeletons and doctors are testing artificial retinas in the blind thanks to neuroprosthetics: surgical brain implants that restore some function …

Stuff happens. The weather forecast says it’s sunny, but you just got drenched. You got a flu shot—but you’re sick in bed with the flu. Your best friend from Boston met your other best friend from San Francisco. Coincidentally. What are the odds?