Abstract
This chapter introduces the general topic of the book and lays out its basic plan. First the rigid — nonrigid distinction is clarified in its full generality, with no special regard to the specific case of property designators: the basic modal and epistemological interest of the distinction, most notably in identity statements, is clarified. Then an account of the rigid — nonrigid distinction for property designators specifically is offered. Interesting work performed by rigidity in property designators is discussed, especially as it pertains to theoretical identity statements including psychophysical identity statements. Complications and objections to applying rigidity to property designators are introduced. Chapters to come will address these complications and objections, allowing for further articulation and support of the distinction. The chapter ends with a chapter-by-chapter agenda for the rest of the book.