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Generalised quanti er theory is a central topic in logic with important applications in semantics of natural language. Recent work in the application eld has led to new logical questions and new theoretical developments, showing that quanti er theory is a truly interdisciplinary eld. This volume presents contributions to quanti er theory and its applications and gives a good impression of the depth and diversity of recent work in the eld. The book starts with a long introduction aimed at making the individual papers accessible to a wide audience of logicians and linguists.