But is it really possible to establish such a system that ensure correctness, innovation and public trust, and so on? It seems like to me that science is alread

But is it really possible to establish such a system that ensure correctness, innovation and public trust, and so on? It seems like to me that science is already an impossible endeavor from the beginning. This kind of thinking reminds me of scientific anarchism championed by Paul Feyerabend, like "Anything Goes". He strongly criticized the corporate thinking in the scientific community, but what else we can do? Maximizing the (ultimately) monetary benefit and its efficiency is the only way we can run any business, and everything else looks fishy to most people (including myself).