Nick writes:

“In a similar way, hearing you guys argue, I wonder if much progress has been 
made on the question of what conditions make possible the spontaneous 
progressive layering of natural systems.”

You might look at the deep learning literature.  Starting from the Hubel and 
Wiesel, all the way to learning of optical 
flow<https://arxiv.org/abs/1504.06852>.   There is surely more to it than just 
one directional layering, though.

Marcus
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