I teach for a living (post-secondary). Every once in a while, a student is solving a problem and they get all the steps right, only to end up with the wrong final answer due to a mistake. I always feel bad for them because they were so close, yet so far. I get the same reaction when someone tells me that they see how our fiat currency is broken and can see all the downstream effects of it, and then they reach the conclusion that gold is the solution.