the missing thing that is completely different from everything else, but everything has a stake in it.

why productive philosophy is not a contradiction in terms

Productive philosophy would be a contradiction in terms, as philosophy is for stopping and reflecting, but for the fact that doing that is inadvertently consummately productive. 

When philosophy falls short of productivity it has not come to a full stop. It has withheld total surrender of productivity to keep the game in motion, as Plato and Aristotle fight on and on.  

But as the consummately productive Renaissance (its philosophy scorned, of course, by the long prevailing tennis playing philosophers doting on every detail while deconstructing the whole) briefly ascertained, philosophy isn't a game, it's the map we need to navigate the whole, Aristoplatonic world that is going up in smoke without a vanguard of non-showman productive philosophers pulling the strings behind the scenes.