General Thinking Tools: Mental Models to Solve Difficult Problems
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1: https://www.amazon.com/Intuition-Pumps-Other-Tools-Thinking/...
My underlying model of cognition extends this to 8 different levels, ending with consciousness itself. But that's getting ahead of ourselves. Third order intellect is the study of ego, how we get in our own way. Fourth order intellect is the study of identity, the forms we use to actually consider ourselves.
The rest of them concern the nuts and bolts of perception.
I think he does mean it as an analogy to the math concept, like ~x being first order and ~x^2 being second order for x near zero; x dominates but x^2 (the "second order") gets you closer to the truth. And similarly for x^3, x^4, ..., x^n.