It sounds like you have a different conception of knowledge and rationality from Popper’s/Deutsch’s.

Rationality means finding common preferences among ideas. Why should that not be possible for the types of knowledge you mention?

It sounds like you have a different conception of knowledge and rationality from Popper’s/Deutsch’s.

There’s a unity of knowledge. Knowledge isn’t fragmented the way you suggest. Rationality means finding common preferences among ideas, ie making different types of ideas jibe. Why should that not be possible for the types of knowledge you mention?