The central puzzle is the idea that one can have "intellectual control" -- what seems to be a kind of metaphysical confidence in the software -- without, you know, using it. Yes, there is a nod to formal methods. Sure, there are types. But the author appears to simply handwave away the step at which the Mighty Controller Of Intellect runs the software. At which point he or she is -- gasp! -- testing the software. Comparing the theory to the reality and updating each as seems prudent.
It seems as though the author instinctively feels that there must a hatchway out of the universe into the Platonic realm. But then faces the old problems of dualism: how, pray tell, does this mysterious crystalline form actually interact with boring statistical matter?
Edit: I updated this comment several times, so you'll see scar tissue where I stitched it.