...
...Chance and diversity require each other. It is a very interesting conceptual discovery. I would expect some other scientists or philosophers had this discovery, but I am not aware of who they are.
That is borderline tautological (in the sense that is self-evident). To have infinite possibilities but having the odds always lead to just one of them is pretty much the same as having only one possible outcome but the odds being the same for any possible outcome.
But still, nothing in that prevents machines from having access to both enough diversity and enough random values.
Sure, chaotic systems are hard to manipulate towards any specific goal in the long term; but machines can do it better than humans. Perfection is unattainable, i agree; but machines don't need to be perfect, they just need to be better than humans. And i don't see how anything short of extinction of the human species could prevent humanity from eventually giving birth to a self-improving AI that improves itself better than humans could. Such a life-form would be more adaptable than anything Earth has ever seen; capable of trying more simultaneous evolutive routes than the whole organic biome combined.
Humans are already quite adaptable in spite of their limitations; we are changing the world in a scale never seen since primordial bacteria poisoned the planet's atmosphere with oxygen; now imagine the impact an invasive species that is to us what we are to those primordial bacteria will have.