The concern is about "holding it all in your head", and depending on your preferred level of abstraction, "all" can perfectly reasonably be held in your head. For example: "This program generates the most likely outputs" makes perfect sense to me, even if I don't understand some of the code. I understand the system. Programmers went through this decades ago. Physicists had to do it too. Now, chemists I suppose.
While computer operations in solutions are computable by humans, the billions of rapid computations are unachievable by humans. In just a few seconds, a computer can perform more basic arithmetic operations than a human could in a lifetime.
That the tools became complex is not a reason to fret in science. No more than statistical physics or quantum mechanics or CNN for image processing - it's complex and opaque and hard to explain but perfectly reproduceable. "It works better than my intuition" is a level of sophistication that most methods are probably doomed to achieve.
"This program generates the most likely outputs" isn't a scientific explanation, it's teleology.
Speech recognition. OCR. Reccomendation engines.
You don't write OCR by going "if there's a line at this angle going for this long and it crosses another line at this angle then it's an A".
There's too many variables and influence of each of them is too small and too tightly coupled with others to be able to abstract it into something that is understandeable to a human brain.
Or, consider the art word broadly, artists routinely engage in various forms of unusual abstraction.
It's unabstractable for people, because the most abstract model that works still has far too many variables for our puny brains.
> artists routinely engage in various forms of unusual abstraction
Abstraction in art is just another, unrelated meaning of the word. Like execution of a program vs execution of a person. You could argue executing the journalist for his opinions isn't bad, because execution of mspaint.exe is perfectly fine, but it won't get you far :)
Abstraction doesn't have to be perfect, just as "logic" doesn't have to be.
> Abstraction in art is just another, unrelated meaning of the word.
Speaking of art: have you seen the movie The Matrix? It's rather relevant here.