The Game of Go has been explored for 2500 years and resulted in a body of theories that Go masters study in Go schools. Alpha Go discovered that human Go understanding was caught in a local optimum, and broke out of it. The game of modern physics started only 130 years ago...
I think that statements like "no computer can figure that out" involve dramatic implications at a scale you don't realize. If you want to make that case you must shoot down the core of the entire mechanist world view while somehow leaving all the modern science built on it intact