Also, I do think that basic understanding of mathematics seriously enhances human intuition, which then helps develop better strategy.
Also, I do think that basic understanding of mathematics seriously enhances human intuition, which then helps develop better strategy.
So, while it would obviously benefit to have some human brains overseeing the process, such a program could run almost autonomously most of the time. So we let the computer do the "ground work" while we focus on "high level tasks". Today the ground work is the basic calculations, tomorrow it will be part of what is done by humans today, such as adapting the trajectory of a missile as I just described above, the point is that the computing power should allow humans to focus on higher level tasks.
So I don't see how the backward movement described by Asimov can help with anything. Did he just want to warn the mankind against forgetting how calculation works?
Now, let's say that we have such a program, able to reach its target most of the time. In that case, people would still have to focus on higher level tasks as you said, like global offensive strategy. Even for this task, I think that a spirit forged with mathematics will certainly be more efficient, with better logics and intuition. But my opinion might be influenced by the fact that in France, our best military schools do have high maths expectations for the entry exam.
Off topic: I'm French as well, and yeah, Polytechnique has a high level of expectation in maths.