In the middle of my Mathematical logic I defined a certain class of formulae as “stratified,” and conjectured that exclusion from this class is a feature “shared, presumably, by all the untenable statements (p. 157). This ushered in a set of axioms of class-membership which Rosser has since shown to be inconsistent. Accordingly, in Element and number I dropped the principle *200, in which had been assembled axioms to the effect, roughly, that “stratified functions of elements are elements.” In lieu of *200 I set forth alternatives in which no appeal is made to stratification. The system of Mathematical logic exclusive of *200 carries over as an unchanging framework; and this framework admits, we know, of a simple consistency proof. My concern in the present paper is to draw attention to certain relationships between this framework and earlier theories.