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 ...

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 ...

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 ...

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 ...

“I went into it thinking that this was going to be this family drama, which it is, but I didn’t understand the heighten structure of the world that was at play,” says Johnny Berchtold of A Hard ...

We first told you about hazart’s feature A Hard Problem back in September 2019. In this new independent feature from producers Ryland Aldrich, Adam Maffei and hazart, young man Ian (Johnny Berchtold) ...

The numbers don’t seem to add up. Cloud vendors report new highs with every earnings report and underline the prospects of what is arguably the hottest growth market in IT. Yet only 5% of enterprise ...

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, ...