Take any simple algebraic equation like x = x^2 + 1. This is a kind of self-reflection, and indeed you could iterate it infinitely to get a solution if there weren't a better way to proceed. Aren't mental self reflections rather like this: sequential relations in which the same term recurs in two different places on each side of a an identity. In the realm of the mind every such equation has a solution, no matter how bizarre the system of distinctions is that sets it up, with re-entrant terms internally or externally reflected or both at the same time. Consciousness simply solves these without any iteration, but if you try to figure out how it does so you fall into infinite regressions: I know that I know that I know... etc. again, some equations are solvable in the same terms in which they were set up and some require expanding the field of terms with new kinds of objects which become new terms themselves. That which solves the equations is never encompassed in any of the solutions, but the process of posing and solving such equations fascinates.