A structured character is a semantic value of a certain sort. Like the more familiar Kaplanian characters, structured characters determine the contents of expressions in contexts. But unlike Kaplanian characters, structured characters also have constituent structures. The semantic theories with which most of us are acquainted do not mention structured characters. But I argue in this paper that these familiar semantic theories fail to make obvious distinctions in meaning---distinctions that can be made by a theory that uses structured characters. Thus (...) I conclude that we should reject these familiar semantic theories, and accept a semantic theory that includes structured characters among its semantic values. (shrink)