  As we have seen, at the time of writing Principia Mathematica, Russell believed that an elementary proposition consisting of a single predicate representing an n-place relation along with n names of individuals is true if it corresponds to a complex. An elementary proposition is false if there is no corresponding complex. Russell there gave no indication that he believed in any other sorts of complexes or truth-makers for any other sorts of propositions. Indeed, he held that a quantified proposition is made true not by a single complex, but by many, writing, “[i]f φx is an elementary judgment it is true when it points to a corresponding complex. But (x).φx does not point to a single corresponding complex: the corresponding complexes are as numerous as the possible values of x” (PM, 46).