[red75prime]

From my POV it's "we haven't found physical processes that allow to do information processing, which is relevant to learning, exponentially faster than digital computers and we aren't likely to find them in the brain."

Or, at least, I don't tend to postulate existence of such mechanisms in the brain after hearing about every empirical ANN deficiency.

BTW, I'm not talking about supernatural. The "magic" could be unknown physical processes, unknown quantum algorithms, unknown physics.