“... and therefore in a Remote Sense Abduction Rests upon Diagrammatic Reasoning”

Michael H. G. Hoffmann

doi:10.29333/ejmste/92553

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Michael H. G. Hoffmann ¹ ^*

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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.

Keywords

abduction
consistency
creativity
diagrammatic reasoning
representational system
scientific discovery

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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

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

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

Publication date: 25 Jun 2018

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How to cite this article

APA

Hoffmann, M. H. G. (2018). “... and therefore in a Remote Sense Abduction Rests upon Diagrammatic Reasoning”. Eurasia Journal of Mathematics, Science and Technology Education, 14(9), em1585. https://doi.org/10.29333/ejmste/92553

Vancouver

Hoffmann MHG. “... and therefore in a Remote Sense Abduction Rests upon Diagrammatic Reasoning”. EURASIA J Math Sci Tech Ed. 2018;14(9):em1585. https://doi.org/10.29333/ejmste/92553

AMA

Hoffmann MHG. “... and therefore in a Remote Sense Abduction Rests upon Diagrammatic Reasoning”. EURASIA J Math Sci Tech Ed. 2018;14(9), em1585. https://doi.org/10.29333/ejmste/92553

Chicago

Hoffmann, Michael H. G.. "“... and therefore in a Remote Sense Abduction Rests upon Diagrammatic Reasoning”". Eurasia Journal of Mathematics, Science and Technology Education 2018 14 no. 9 (2018): em1585. https://doi.org/10.29333/ejmste/92553

Harvard

Hoffmann, M. H. G. (2018). “... and therefore in a Remote Sense Abduction Rests upon Diagrammatic Reasoning”. Eurasia Journal of Mathematics, Science and Technology Education, 14(9), em1585. https://doi.org/10.29333/ejmste/92553

MLA

Hoffmann, Michael H. G. "“... and therefore in a Remote Sense Abduction Rests upon Diagrammatic Reasoning”". Eurasia Journal of Mathematics, Science and Technology Education, vol. 14, no. 9, 2018, em1585. https://doi.org/10.29333/ejmste/92553