"Can a bunch of bits represent reality exactly, in a way that can be controlled and predicted indefinitely? The answer is no, because nature is inherently chaotic, while a bunch of bits representing a program can never be so, by definition."
Which leads us to ask: "Are our mathematical models just a desperate, failed attempt to de-noise an otherwise very confusing, extremely blurred reality?"
So yes, math and computers are quite useful as long as we keep the above in mind instead of assuming they reveal reality as it is. And as long as we also search for that noisy humanity in the spaces between binary logic, which will never be revealed by math or computers.