From August 26--August 30, 2013 Seminar 13352 was held at Dagstuhl on the topic of "Interaction with Information for Visual Reasoning." The seminar brought together a group of cognitive scientists, psychologists, and computer scientists in the area of scientific visualization, information visualization, and visual analytics who were carefully selected for their theoretical and methodological capabilities and history of interdisciplinary collaboration. During the workshop seven discussion groups were formed during which the role of interaction for visualization was carefully reflected on. We discussed in particular the value, structure, and different types of interaction but also how to evaluate visualization and the idea of 'narrative' as applied to visual analytics. This report documents the program and short summaries of the discussion groups for the seminar.