Showing your work - especially as people like math teachers like to admonish - is a pain in the ass, but a good exercise. One can put in all sorts of work, say into crafting a hammer, and then one has the hammer as a simplified object to make much less work of doing more advanced tasks, like hammering together pieces of wood to make a structure. The work goes much faster if you can just have access to a hammer whenever you need one, cause after all, we already know how to make them, why not just hand it over?
But then once you forget how to craft a hammer - upon spending all of that time hammering - then what exactly do you do when you start receiving hammers that don't work right, or you stop receiving hammers at all?
