In this book, two related phenomena are studied: presupposition and anaphora. Dynamic semantics is by now widely accepted as a first-rate foundation for such an exercise and it forms the backbone of most of the work in this book. A recurring additional theme of the present book is the usefulness of techniques from partial logic in the treatment of both phenomena. Rather than adding completely new semantic theories to the present gamut of theories, the author discusses a number of existing approaches which aim at accounting for the behavior of presuppositions and/or anaphors, makes improvements where necessary, and compares the results. Presupposition and Anaphora starts with an introduction to a number of dynamic semantic theories and their correlations, paying special attention to the treatment of disjunctions and negations. Subsequently, presuppositions are studied in the context of partial logics, Montague Grammar and dynamic semantics.