Diagrammatically Explaining Peircean Abduction
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.
Keywordsabduction induction duality Euler diagrams commutative diagrams category theory
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- 2.Hartshorne, C., Weiss, P. (eds.): Collected papers of Charles Sanders Peirce. The Belknap Press of Harvard University Press, Cambridge (1960)Google Scholar
- 3.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)Google Scholar