Pardon the self-promotion, but the point that post makes is similar to the structure of understanding I outlined here. The sheaf model of knowledge is what I call a Level 2 understanding, and the level that scientists can't yet achieve for General Relativity and Quantum Mechanics.

Ordinary people go through life having different theories about love, religion, politics, when you kick a table it hurts your foot, and so on, and don’t seem to worry a bit about whether the restriction maps are compatible ...

That's what I call a Level 1 understanding.

I probably could have created a better hierarchy if I had been familiar with the sheaf concept -- sounds like an ideal ontology for an AI to have since it faciliates regeneration of knowledge (Level 3) and consilience (Level 2).