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A Flexiformal Model of Knowledge Dissemination and Aggregation in Mathematics

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Intelligent Computer Mathematics (CICM 2015)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9150))

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Abstract

In the traditional knowledge dissemination process in mathematics and sciences, authors write semi-selfcontained articles which are then published in journals, conference proceedings, preprint archives, and/or given as talks. Other scientists read these, extract the new knowledge, integrate it into their personal mental model of the field, and use this as the basis for creating new knowledge which is disseminated in the same form.

Somewhat surprisingly, this process has not been modeled from a formal or content-based perspective even though it is at the heart of human MKM and DML.

In this paper we tackle this problem starting from the practice of beginning papers with a “recap”, which briefly introduces context, terminology, and notations and thus ties the paper into the knowledge commons. We propose a flexiformal model for knowledge dissemination and its aggregation into a communal, shared knowledge commons based on theory graphs and the newly introduced realms.

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Notes

  1. 1.

    1. for referencing, 2. for determining interest.

  2. 2.

    3. and 10. for broader context, 5. and 9. for problem context, 4. for document navigation, 8. for assessment of value, and 11. for further reading.

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Acknowledgements.

This work has been supported by the Leibniz Association under grant SAW-2012-FIZ_KA-2 and the German Research Foundation (DFG) under grant KO 2428/13-1.

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Correspondence to Mihnea Iancu .

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Iancu, M., Kohlhase, M. (2015). A Flexiformal Model of Knowledge Dissemination and Aggregation in Mathematics. In: Kerber, M., Carette, J., Kaliszyk, C., Rabe, F., Sorge, V. (eds) Intelligent Computer Mathematics. CICM 2015. Lecture Notes in Computer Science(), vol 9150. Springer, Cham. https://doi.org/10.1007/978-3-319-20615-8_9

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  • DOI: https://doi.org/10.1007/978-3-319-20615-8_9

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