 Thus Cresswell wishes to associate with a sentence (or more accurately, a ‘that’ clause) some semantic value that is more fine grained than a set of worlds, so that attitude verbs may (sometimes) distinguish between sentences that are true in exactly the same worlds. Strictly, Cresswell holds that sometimes attitude verbs are sensitive only to the sets of worlds in which the sentences they embed are true (i.e. their intensions); but sometimes attitude verbs are sensitive to more than this. In these latter cases, Cresswell wishes to associate a semantic value more fine grained than a set of worlds with the embedded sentence (or ‘that’ clause). Cresswell accomplishes this by holding that ‘that’ in English attaches to a sentence to form a name, and that ‘that’ in this role is highly ambiguous. In one of its meanings, ‘that’ attaches to a sentence and forms a name of the intension of the sentence (i.e. the set of worlds in which it is  true).[30]  In such cases, the attitude verb is sensitive only to the intension named by the ‘that’ clause following it. However, ‘that’ has another meaning on which it combines with a sentence to form the name of a much more fine-grained entity (in the sense that sentences true in all the same worlds may be associated with different fine-grained entities). In such cases, verbs of attitude are sensitive to differences in these fine-grained entities. Since our concern is with structured propositions, or with semantic values of sentences more fine grained than sets of worlds, the focus will henceforth be on Cresswell’s account of these fine-grained entities named by some ‘that’  clauses.[31]  Henceforth, then, when the fine grained entity associated with a sentence or ‘that’ clause on Cresswell’s view is discussed, what is being discussed is what a ‘that’ clause containing the sentence names, given that the meaning of ‘that’ in the ‘that’ clause is the one that when combined with the sentence yields a name of the most fine grained entity named by any ‘that’ clause in which the sentence occurs. This is important to bear in mind, since for Cresswell, strictly speaking, a sentence not in a ‘that’ clause does not express this fine grained entity.