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Knowledge representation research is not only formal, it is§also descriptiveand normative. Its aim is to implement a§formal system which captures a practically relevant body of§cognitive faculties employed by humans and capitalizes on§its technical strength to extend human knowledge§representation and reasoning capabilities.§In this monograph, the author develops formalisms for his§own notion of a vivid knowledge representation and reasoning§system, characterized by the presence of two kinds of§negation (weak and strong) and the requirements of§restricted reflexivity, constructivity, and§non-explosiveness. The book is based on work carried out§within an interdisciplinary research project at the Free§University of Berlin.