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My talk will be an introduction to the research field of “Argumentation Theory”. I will explain how Argumentation fits into the broader area of Artificial Intelligence, and try to answer the questions “What is Argumentation Theory?” and “Why bother?”. The obvious application of Argumentation Theory is in Multi-Agent Systems, that is when two artificial or human agents argue with each other. However, Argumentation Theory can also be applied in a wide range of other decision-making scenarios, such as deciding on the medical treatment of a given patient or evaluating whether or not a defendant is guilty in court.