Any hash map you or I have ever seen is not very intelligent, possibly not at all. But the infinitely large hash map we’re talking of is different. It can handle any possible situation it encounters. That’s part of its definition.
Our hashmaps — the finite hashmaps we use to store shipping addresses and candy crush preferences — would be torn to shreds in the real world. But not this infinite hashmap that maps all possible inputs to all possible outputs. It’s a one-layer network but it’s really wide. It’s as wide as the universe of possibility, at least.