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In knowledge representation nowadays there exists no common notation which is used to attach designations and meanings to knowledge elements. E.g. the name painting can stand either for the class painting or for the object property (relation) painting which assigns paintings to their painters. For a clear distinction typically syntactical overhead is needed. In OWL/XML-Syntax this would be <owl:Class rdf:id=“Painting”> </owl:Class>. Therefore a set of special characters is introduced, which in combination with a name allows to uniquely designate different types of knowledge elements with the same name like ^Painting (class) or <>Painting (relation). The character combination >> is used to designate n-ary relationships like >>Nikolaus_Kopernikus-Belief. Using this designation conventions, we propose the notation of an Ontological Graph (OG), which is powerful enough to visualize data models, semantic networks, conceptual roles, formulas, process models, situations, taxonomies etc. Based on the type of knowledge elements, nodes have specific colors and shapes and can be enriched by graphical elements, images and hypertext links. OGs allow for a kind of visual thinking and support to develop, debug, document and visualize knowledge faster, easier and more consistently. Finally we present an approach for a predication system (LPS), which allows to attach unique predicators to knowledge elements based on Leibniz characteristic numbers (LCN). This allows to construct, designate and retrieve knowledge elements from primitive ones by means of factorization e.g. creature = living#body, which means, that we can support search by meaning.
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