In Parts I, II, and III of the paper, the authors show that an argument essential to Alan White's defense of the Correspondence Theory of truth is unsuccessful. They argue that some of the premises of White's argument are false, and others incoherent. They show, further, that certain widely accepted assumptions in the philosophy of language, which underlie White's argument, must also be abandoned. In Part IV, they attempt to say something new about ‘true’, ‘false’, truth and falsity, and related notions. They do not offer a competing theory to White's, but instead stress features of the use of these words and concepts which philosophers have either ignored or insufficiently emphasized.