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Erschienen in:
2005 | OriginalPaper | Buchkapitel
Formal Concept Analysis as Mathematical Theory of Concepts and Concept Hierarchies
verfasst von : Rudolf Wille
Erschienen in: Formal Concept Analysis
Verlag: Springer Berlin Heidelberg
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Formal Concept Analysis
has been originally developed as a subfield of Applied Mathematics based on the mathematization of
concept
and
concept hierarchy
. Only after more than a decade of development, the connections to the philosophical logic of human thought became clearer and even later the connections to Piaget’s cognitive structuralism which Thomas Bernhard Seiler convincingly elaborated to a comprehensive
theory of concepts
in his recent book [Se01]. It is the main concern of this paper to show the surprisingly rich correspondences between Seiler’s multifarious aspects of concepts in the human mind and the structural properties and relationships of formal concepts in Formal Concept Analysis. These correspondences make understandable, what has been experienced in a great multitude of applications, that Formal Concept Analysis may function in the sense of
transdisciplinary mathematics
, i.e., it allows mathematical thought to aggregate with other ways of thinking and thereby to support human thought and action.