breakdown vs build up

>people who are really good at this sort of logical break-down are horrible at moving masses of people to action.

Isn't the answer to the conundrum right there? Those who can break down a task into disjoint chunks are un- (or less) able to move other things (like groups) in mass. Analytical versus synthentic.

The reason seems obvious - to move masses of people they need to be convinced that they are part of some unified whole of some sort. Some sort of coordination and conformity. Analytical engineers break tasks down so that they can focus more specially on each task.

> since the ancient Greeks Mathematics and Philosophy (which developed into physics) were considered necessary ingredients for a good education.

Before math, there was logic (applying rules), grammar (following someone else's rules), and rhetoric (persuading others to follow one's vision) on the curriculum. Afterward math/physics, there was philosophy and theology. Both of which, if one thinks about it, are attempts to find some sort of Grand Unified Theory. To what end? To move the masses, of course.