> It's not absurd to believe that humans will never be able to invent machines that match human level intelligence
It actually is absurd and it's easy to see why: nature evolved a series of progressively more intelligent biochemical computers by accident, simply by trial and error.
If that's all we ever did with computers, like enumerating all Turing machines, we would eventually find one more intelligent than us. The fact that we can do even better than simple trial and error, for instance, by building machines that help us build machines, we drastically accelerate that inevitability.