 Intensional phenomena are puzzling, and worth studying, because (a) it seems that the only way to account for language-speakers’ capacities to produce and understand sentences of their native languages which they have never encountered before is to posit  compositional structure  in language and an interpretive capacity in speakers that exploits it. But (b) the simplest ideas about what such structure is like cannot accommodate intensionality. So we want to know what the smallest complication is which allows for the intensional. Investigation of intensional verbs has focussed mainly on verbs used to make  propositional attitude reports.  These verbs take clauses rather than direct objects as their complements. However, as we will see below, intensional transitive verbs (henceforth ITVs) do not merely duplicate the problems raised by propositional attitude verbs, but introduce special difficulties of their own.