Abstract
By using Euler diagrams, early Peircean abduction is explained as an inference based on the shrinkage of a class of properties; this renders it dual to inductive inference, which is based on the enlargement of a class of subjects. In fact, at a very general level these inferences can be interpreted as (category-theoretic) dual constructions, by representing them as commutative diagrams.
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References
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Zelazek, F.: Dual Aspects of Abduction and Induction. In: Lieto, A., Cruciani, M. (eds.) Proceedings of the First International Workshop on Artificial Intelligence and Cognition (AIC 2013). An Official Workshop of the 13th International Conference of the Italian Association for Artificial Intelligence (AI*IA 2013), Torino, Italy, December 3. CEUR Workshop Proceedings (2013)
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Zelazek, F. (2014). Diagrammatically Explaining Peircean Abduction. In: Dwyer, T., Purchase, H., Delaney, A. (eds) Diagrammatic Representation and Inference. Diagrams 2014. Lecture Notes in Computer Science(), vol 8578. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44043-8_30
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DOI: https://doi.org/10.1007/978-3-662-44043-8_30
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