Thanks. What reason do they give that these network weights cannot be computed?

I am pretty hip to modern AI workings, and that is what I assumed they meant by compute. What I know also tells me that "compute" as a concept is lacking for what we might later call holistic AI, and if, for instance, they are conjecturing strictly SGD proved networks, then I maintain my position that they are merely noodling, with AI and terminology alike.

Intelligence is not entirely computable; nor is occurrence entirely probabilistic. Respectively, there is randomness at work, and dynamic systems that produce novelty.