Much of the recent innovation in developing non-cognitivist theories is motivated by a desire to address the embedding problem.  In what remains of this section we will briefly survey three differing approaches to the task, which may also be combined. These are (1) developing a logic of the sentences by explaining how that logic falls out of logical relations among the attitudes they express, (2) exploiting minimalism with regard to truth and related notions to provide an account of certain locutions, and (3) allowing the descriptive semantic component postulated by hybrid expressivist theories to explain the logical relations among normative sentences and attitudes. 