Why set theory is not sufficient for postmetaphysics

Continuing this post, prototypes are not based on necessary and sufficient conditions, the latter being a requirement for hierarchical complexity. Commons admits as much in this article. Note the axioms which satisfy the requisite necessary and sufficient conditions in terms of set theory. Prototype theory challenges the very edifice upon which developmental models depend. No wonder Lakoff et al. don’t go there. I’d even suggest that the sort of necessary and sufficient logic of set theory, not being embodied, is quite literally metaphysical and hence not what is considered postmetaphysical.