This blog was co-authored by Gregg Henriques, Ph.D., and John Vervaeke, Ph.D. Since the dawn of human consciousness, people have grappled with the problem of what it is and how it works. In academic ...

For all of the recent strides we’ve made in the math world—like a supercomputer finally solving the Sum of Three Cubes problem that puzzled mathematicians for 65 years—we’re forever crunching ...

This psychology-based problem-solving quiz reveals whether you solve problems through logical analysis, gut instinct, ...

I’m spotting a worrying trend among startup founders who seem to think that running a startup is effectively a get-rich-quick scheme. Apart from that mindset being wrong and naive, I suspect there’s ...

What does it take to solve hard problems: There are 3 things essential to problem solving. The right paradigm Pattern recognition Insight The right paradigm: This is the most important part about ...

Chapter 2 explored key factors underpinning difficult cyber challenges. This chapter goes on to list and discuss the list of cyber hard problems—well-defined problems where progress toward their ...

The National Academies of Sciences, Engineering, and Medicine are private, nonprofit institutions that provide expert advice on some of the most pressing challenges facing the nation and world. Our ...

Hi, I’m new here and I just wanted help with this topic. I’m a big lover of science, in fact I’m hoping to do something with entomology in the future, but I ran into something along the way that sort ...

Some math problems have been challenging us for centuries, and while brain-busters like these hard math problems may seem impossible, someone is bound to solve ’em eventually. Well, maybe. For now, ...

Visit NAP.edu/10766 to get more information about this book, to buy it in print, or to download it as a free PDF. Cyber (computing and communication) technologies underpin every facet of the U.S.