The Powers are beyond our ability to comprehend. The former is a square containing the latter represented as a fractal tree. If that tree is all of human knowledge, everything we have learned through millenia of trial and error, and a newborn Power has every branch of that tree as an obvious primitive, it is still inside the square. The Enlightenment after Newton thought of the universe as a clock.
Dice make at least as much sense as a clock.
Given this view, it is hard to see how the universe could generate any problems not capable of being comprehended by us, apart from existence. A qualitative difference would be that between any computer and a wristwatch. To believe that there is such a difference above us is purely a matter of belief. Back to Vinge .