Actually there's a lot of stuff you can compute and predict about chaotic systems, it's not like they're pure noise. Since practically anything most people actually find interesting falls squarely in the chaotic bracket, you have to think of workarounds... which I'd argue is most of science.

(eg. the solar system is technically chaotic, but we can still predict far ahead. Hashlife is a thing which you can even push back on ;-) . And we can predict weather a few days ahead at least)