If we wan to find the best possible answers, knowing our current best tools is important. We should also be quite aware of all mistakes we make naturally and why we make them. Both problems can help us become much better at making science.

Induction
Absolute proofs are not possible for the real world. We are limited and unable to know all we should. But we can rank which ideas are more likely using inductive methods.

Cognition
We make many mistakes when we reason. But it some of those mistakes might be better understood as reasoning in environments that are far more complex than laboratory experiments.
Epistemology
As our beliefs harm our ability to reason, we learn some important lessons on science making.
Statistical tests might be even more harmful than we thought. And physicists must learn to accept there are times the only competent answer is doubt.