They never used the word Emergence but I sort of feel like that was what they were talking about.
I loved the definition and description of intelligence using the Rubix cube analogy.
He says a rubix cube can be solved by using pure randomness. However, statistically speaking, it might take 10 quintillion years to arrive at the solution. Randomness will get there eventually, of that we can be sure. But it will take a very long time.
Alternatively, someone might apply a formula to the cube. But if that formula is too simple, such as: "Always turn the furthest Rightmost section once downward", then all you would accomplish is to turn that section in a downward motion forever. You would just rotate that once piece in the same direction for all eternity and never arrive at the solution. You have done worse than chance. You have done something axiomatically stupid.
But if you apply a slightly more complex or descriptive set of rules, you can always solve the cube in 20 moves or less. That is an axiomatic act of intelligence.
To describe in detail each move to solve the cube, by describing its current state, to its next state, by describing where all the individual colors of each individual square are and in each turn describing in detail what to do next. Or you could more elegantly just apply a formulae to it and the solution emerges.
It's like the description of the flocks of starlings in Dawkin's book, The Greatest Show on Earth. For those who haven't read it, he talks about flocks of starling birds. They are striking:
He talks about a computer programmer he knew from Oxford who was trying to model this in a simulation. He was struggling. He could model it...kinda. But it was always obvious that his models were imperfect. He was close, but he couldn't finish it. They just didn't look right. When he finally figured it out, he did so by realizing that his approach was wrong. He was trying to model the flock. Instead, he modeled the bird itself, and its behaviors, set up some basic parameters, and then just cloned that one bird. He set those parameters of behavior lose in his simulated world and voila, he had a flock of starlings.
There has got to be an elegant way to describe the flock of a human brain. Time for me to study Turing and von Neumann I guess? I'm too busy with Islam and horticulture this summer. Turing will have to wait. Still, I loved this podcast. Really got me thinking.