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Diagrams 2014: Diagrammatic Representation and Inference pp 308-310 | Cite as

Diagrammatically Explaining Peircean Abduction

  • Flavio Zelazek
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8578)

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.

Keywords

abduction induction duality Euler diagrams commutative diagrams category theory 

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References

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    Flach, P.A., Kakas, A.C.: Abduction and induction. Essays on their relation and integration. Applied logic series, vol. 18. Kluwer Academic Publishers, Dordrecht (2000)CrossRefGoogle Scholar
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    Hartshorne, C., Weiss, P. (eds.): Collected papers of Charles Sanders Peirce. The Belknap Press of Harvard University Press, Cambridge (1960)Google Scholar
  3. 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

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Flavio Zelazek
    • 1
  1. 1.Department of PhilosophySapienza University of RomeItaly

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