In revisiting past hard problems, it is also important to recount successes that helped us bolster our defense. Successes ...

DMT. When the high priest of psychedelics Terence McKenna first took DMT in the 1960s, he noted that his understanding of the ...

In September 2019, news broke regarding progress on this 82-year-old question, thanks to prolific mathematician Terence Tao. And while the story of Tao's breakthrough is promising, the problem isn't ...

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 ...

P vs. NP asks: are these two classes actually the same? If P = NP, then every “hard” problem is secretly fast to solve; we ...

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’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 ...

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 ...