So it is hardly a decade ago that presupposition theory has been cast into a promising theoretical form. And as this provided an inspiring starting point for further research, we thought that, at the turn of the century, the time had come to discuss what the new theory had taught us and which promising further perspectives had been opened up. This was the motivation behind the conference on "Presupposition" which we convened in Stuttgart in October 2000, and which gave rise to the papers collected in this volume. The conference was funded by the Deutsche Forschungsgemeinschaft, which we gratefully acknowledge. Undoubtedly, presupposition theory is a major chapter in the success story of dynamic semantics. A conference on the topic thus also seemed to us the ideal birthday present for one of the founding fathers of dynamic semantics, our teacher and friend Hans Kamp, on his 60th birthday. To him we dedicate the volume as an expression of our gratitude for his untiring effort to make us understand.