“I am not the kind of straw Bayesian who says that you should make up probabilities to avoid being subject to Dutch books. I am the sort of Bayesian who says that in practice, humans end up subject to Dutch books because they aren’t powerful enough to avoid them; and moreover it’s more important to catch the ball than to avoid Dutch books. The math is like underlying physics, inescapably governing, but too expensive to calculate.” (Eliezer Yudkowsky, Rationality)
Dutch books and Probabilistic thinking is to logic what physics is to our observations.