You cannot reach the ingenuity present in human cognition by limiting oneself to models of dynamical systems or models of systems with probability. You must address language capability because it's only language that gets one into realms of combinatorial and generative concepts.
It is clear to me that too many researchers seem complacent with dynamical or probability models of cognition. It is as if the mathematics useful in physics could somehow lead to the emergence of cognition. This is a false hope.
That is because the mathematics of physics mostly involves parts with weak interactions. The math of thermodynamics is defined for gases. For fluids, like Navier-Stokes, isn't derivable from the parts. The interactions of cells are much more complex than inanimate stuff.
When you have strong and complex interactions with the parts, you enter the realm of computation. It's an entirely different animal from the continuous dynamics we see in physics. The math in physics doesn't describe the mechanisms in computation.
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