Forbes contributors publish independent expert analyses and insights. I am the Kester and Brynes Professor at Columbia Business School and a Chazen Senior Scholar at the Jerome A. Chazen Institute for ...

The original version of this story appeared in Quanta Magazine. Imagine that someone gives you a list of five numbers: 1, 6, 21, 107, and—wait for it—47,176,870. Can you guess what comes next? If ...

Ada Lovelace, the pioneering mathematician of the 19th century, dreamed of machines that could do more than calculate. She ...

In 1962, a programmer at Librascope, a California-based defense contractor, announced that “a computer can be programmed to write meaningful and relevant sentences in proper English.” At Librascope’s ...

In the era of A.I. agents, many Silicon Valley programmers are now barely programming. Instead, what they’re doing is deeply, deeply weird. Credit...Illustration by Pablo Delcan and Danielle Del Plato ...

Some scientific discoveries matter because they reveal something new — the double helical structure of DNA, for example, or the existence of black holes. However, some revelations are profound because ...

By writing a custom computer algorithm that mapped every possible version of a rare class of geometric shapes, 17-year-old ...