The document discusses the concept of presupposition in language. It defines presupposition as a type of inference closely linked to the meaning of an utterance. Presuppositions are assumptions that are taken for granted in an utterance, rather than being directly stated. The document provides examples of utterances and analyzes what they presuppose rather than directly assert. It also discusses different types of presuppositions like strong versus weak presuppositions signaled by articles, possessives, and existential claims.