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Formal Concept Analysis is a mathematical theory of concept hierarchies which is based on Lattice Theory. It has been developed to support humans in their thought and knowledge. The aim of this paper is to show how successful the lattice-theoretic foundation can be in applying Formal Concept Analysis in a wide range. This is demonstrated in three sections dealing with representation, processing, and measurement of conceptual knowledge. Finally, further relationships between abstract Lattice Theory and Formal Concept Analysis are briefly discussed.