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Categorical Iconicity in Peirce’s Existential Graphs

  • Gianluca CaterinaEmail author
  • Rocco Gangle
Chapter
Part of the Studies in Applied Philosophy, Epistemology and Rational Ethics book series (SAPERE, volume 29)

Abstract

The notion of iconicity developed in the previous chapter might appear open to the objection that the use of any such conception of iconic “structure” to model abduction must err either on the side of being too formal and thus insensitive to the concrete, existential details of the situation at hand, or that of being too concretely figural or “intuitive” and thus inappropriate for the rigorous purposes of logical analysis. In fact, we aim to show that the particular power of iconic relations to support robust abductive modeling rests precisely in their capacity to reduce this Scylla-and-Charybdis problem of dry formalism versus muddy intuition to the status of a false dichotomy. Especially when modeled and analyzed via the categorical mathematics of presheaves and sheaves, iconicity as such provides a conceptual framework that is capable of varying smoothly and continuously (and tractably) from the most concrete, material domains to the most formal and abstract.

Keywords

Partial Order Transformation Rule Category Theory Classical Propositional Logic Derivation Rule 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing AG 2016

Authors and Affiliations

  1. 1.Department of MathematicsEndicott CollegeBeverlyUSA
  2. 2.Department of Humanities and PhilosophyEndicott CollegeBeverlyUSA

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