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Traditional vocabulary instruction relies on the dictionary — a flat mapping of word forms to translations — which fails to activate the depth of processing required for durable lexical acquisition. This paper presents kSystem, an open-source digital knowledge system that repositions the word as a node in a three-dimensional structure: lexical form with phonetic transcription, ontological classification across three independent schema, and canonical corpus context with genre and collocational data. We argue that this architecture instantiates the classical Trivium — grammar, dialectic, rhetoric — in a computationally tractable form suitable for language classrooms. The system covers eight languages across five writing systems. A preliminary evaluation of definition quality and ontological classification accuracy is reported, and limitations including the Arabic corpus gap and the use of regex-based classification are explicitly acknowledged. The source code and a live demonstration are freely available.