"But at least as of now we don’t have a way to 'give a narrative description' of what the network is doing. And maybe that’s because it truly is computationally irreducible, and there’s no general way to find what it does except by explicitly tracing each step. Or maybe it’s just that we haven’t 'figured out the science', and identified the 'natural laws' that allow us to summarize what’s going on."

Anyway, I don't see why you think that the brain is more logical than statistical. Most people fail basic logic questions, as in the famous Linda problem.[1]

[1] https://en.wikipedia.org/wiki/Conjunction_fallacy

the words "based on" are doing a lot of work here. No, we don't know what sort of stuff it learns from its training data nor do we know what sorts of reasoning it does, and the link you sent doesn't disagree.