This is my first time reading through these works, though I must say, I smell False Equivalence.
2+2=4 is not just something I have learned, but something I have understood. I was not "taught" this, I was "shown" this. I came to the comprehension on my own. I was a horse led to water, and upon seeing the truth therein, I drank.
Hang on, the Japanese example is flawed. There IS an intelligence branch of the Japanese army; this would be well understood by any tactician. Seeing no evidence to their action, and inferring that this is due to their skill, not an irrational assumption.