converse outer and inner, respectively, the result of ‘converting’ the two ‘terms’ or the relation verb of a relational sentence. The outer converse of ‘Abe helps Ben’ is ‘Ben helps Abe’ and the inner converse is ‘Abe is helped by Ben’. In simple, or atomic, sentences the outer and inner converses express logically equivalent propositions, and thus in these cases no informational ambiguity arises from the adjunction of ‘and conversely’ or ‘but not conversely’, despite the fact that such adjunction does not indicate which, if either, of the two converses intended is meant. However, in complex, or quantified, relational sentences such as ‘Every integer precedes some integer’ genuine informational ambiguity is produced. Under normal interpretations of the respective sentences, the outer converse expresses the false proposition that some integer precedes every integer, the inner converse expresses the true proposition that every integer is preceded by some integer. More complicated considerations apply in cases of quantified doubly relational sentences such as ‘Every integer precedes every integer exceeding it’. The concept of scope explains such structural ambiguity: in the sentence ‘Every integer precedes some integer and conversely’, ‘conversely’ taken in the outer sense has wide scope, whereas taken in the inner sense it has narrow scope. See also AMBIGUITY, CONVERSE , RELATION , SCOP. J. Cor.