“... and therefore in a Remote Sense Abduction Rests upon Diagrammatic Reasoning”
Michael H. G. Hoffmann 1 *
More Detail
1 Georgia Institute of Technology, USA
* Corresponding Author

Abstract

Peirce developed two different concepts—”abduction” and “diagrammatic reasoning”—that are interesting for theories of creativity in mathematics, the sciences, and in learning. He defined “abduction” as the “inference” from surprising, or unexplained, observations to an explanatory hypothesis. However, he does not provide much to explain how the process of creating new hypotheses might be possible. In this contribution, I start from a remark by Peirce claiming that diagrammatic reasoning might somehow be the foundation of abduction. Using an example from astronomy, I argue that at least one form of abduction is indeed based on diagrammatic reasoning: theoretic model abduction.

License

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

https://doi.org/10.29333/ejmste/92553

EURASIA J Math Sci and Tech Ed, 2018 - Volume 14 Issue 9, Article No: em1585

Publication date: 25 Jun 2018

Article Views: 242

Article Downloads: 109

Open Access References How to cite this article