It seems like the essays they want would be similar in spirit to Douglas Hofstadter's books: "Gödel, Escher, Bach" and "I Am a Strange Loop" https://en.wikipedia.org/wiki/I_Am_a_Strange_Loop
Just for kicks, I'd suggest that anyone with an understanding of software and an interest in how thought (or AI) works should set aside six months or so to read GEB carefully, and absorb the ideas in it. It's a lot to wrap your head around, but it will change how you view the world.
The problem when you're trying to attack any problem like AI where we know practically nothing about what the actual solution is, is that anything you write about what you think the solution is is going to predispose people to not just work down that avenue but to think about the problem in abstractions that will ultimately turn out to be wrong.
GEB is an incredibly good book in that it picks out problems that are absolutely at the heart of solving AI (ambiguity in natural language is a huge one) and elucidates them incredibly well _without_ predisposing the reader as to what the solution might be.