Right and wrong—not the difference between right and wrong, but right and wrong. You can do them both, at the same time.
Fanatical adherence to logic and rules—at what cost? This is the opposite pole of relying too much on heuristics. You can do right by the rules and end up with a loss. You can follow rigid mathematical logic to completing a task or project and end up with something that doesn't work or something that is so expensive that it doesn't get finished.
That's not to say that the way to win is through avoiding rules, or that the way to designing something is by avoiding logic. Hardly. Avoid that and you'll likely end up in the same place. Blindly following the rules means that you might not see that you're playing the wrong game. Following a logical sequence of steps based on a bad plan is rigorously stupid.
There is a danger in working with ultra-smart people. You often need them because they'll figure out things that no one else can even imagine. But sometimes they'll go over the line to defend that vision far beyond its efficacy—defending the logic of the vision, but not its value.
This is part of one of the best scenes in The Big Lebowski, a movie jammed full of best scenes: