The most common mistake is to assume that logic and emotion are somehow naturally opposed and that employing one means you can’t have the other. Excluding emotion doesn’t make your reasoning logical, however, and it certainly doesn’t cause your answer to be automatically true. Likewise, an emotional response doesn’t preclude logical thinking — although it may prevent you from thinking in the first place — and if an emotional plan is successful, that doesn’t make logic somehow wrong.
For a plan to be reasonable or sensible, it just has to get you in the direction you want to go by avoiding the stuff you don’t want to happen. The rational plan, in the strictest sense of “rational”, is the one that best achieves this. It is therefore by definition impossible for the plan with the best chance of working to be irrational, no matter how crazy it sounds when you first hear it.
That article is full of goodies.