 In the early 1950s, theoretical physicists were inspired to axiomatize QFT. One motivation for axiomatizing a theory, not the one for the case now under discussion, is to express the theory in a completely rigorous form in order to standardize the expression of the theory as a mature conceptual edifice. Another motivation, more akin to the case in point, is to embrace a strategic withdrawal to the foundations to determine how renovation should proceed on a structure that is threatening to collapse due to internal inconsistencies. One then looks for existing piles (fundamental postulates) that penetrate through the quagmire to solid rock, and attempts to drive home others at advantageous locations. Properly supported elements of the superstructure (such as the characterization of free fields, dispersion relations, etc.) may then be distinguished from those that are untrustworthy. The latter need not be razed immediately, and may ultimately glean supportive rigging from components not yet constructed. In short, the theoretician hopes that the axiomatization will effectively separate sense from nonsense, and that this will serve to make possible substantial progress towards the development of a mature theory. Grounding in a rigorous mathematical framework can be an important part of the exercise, and that was a key aspect of the axiomatization of QFT by Wightman.