### a second conjecture pertaining to functors

#### by metalogike

Conjecture: A significant, possibly primary, philosophical use of adjoint functors (and note that this use is equal parts philosophical interpretation of and infiltration by mathematical form, thus that it participates, as *ars philosophica*, in the quasi-formalism mentioned in the remainder of this sentence) should be to help explicate (what I have been calling) the thick dialectical sense of *reversibility*, according to an improved grammar of the image, *i.e.* of the relation of A’s being-in B in the B sense to B’s being-in A in the A sense, this an intervention which reframes in light of duality as principle of principles philosophical impasses that arise within first-order treatments of identity and difference.