Some examples of intelligence that are known but rare (and not highly taught)
*Paradoxical reasoning: To hold two contrasting arguments and maintain a rationale for both as equally valid while continuing to progress. The water can be "too hot" or "too cold" by varying context. The president could be a "hero" or a "villain" by varying standards
*Metacognition: To think of one's own thinking. One's potential for irrationality, or the pursuit of the genuine sources of one's own beliefs or proclivities
*Nondirective conception: to think of things "out of the blue" that show no link to the previous monent. You think about hot sauce and can suddenly shift to the vastness of space
*Empathetic mimicry: to not only show comprehension of another's emotional - intellectual experience but also to demonstrate congruency
*Inverse conceptualization: to figure out the inverse of the same idea. Like reverse engineering. Seeing an object getting taken apart therefore knowing how it's put together. Seeing historical results of a thing, and working backwards to figure out likely sources.
*Creative combination: coming up with ways that seemingly very unrelated things can have ideal relation. How can lemons relate to cars? Or foxes relate to clouds?
*working with incompletes: having a picture for how to accomplish something even when you just lack some of the critical answers.
*Deviant pragmatism: accomplishing things even when it's not how everyone does
*Multitasking: doing multiple tasks unrelated to one another (usually where speech and body are in separate modes)