Iconicity And Abduction by Gianluca CaterinaIconicity And Abduction by Gianluca Caterina

Iconicity And Abduction

byGianluca Caterina, Rocco Gangle

Hardcover | September 27, 2016

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This book consolidates and extends the authors' work on the connection between iconicity and abductive inference. It emphasizes a pragmatic, experimental and fallibilist view of knowledge without sacrificing formal rigor. Within this context, the book focuses particularly on scientific knowledge and its prevalent use of mathematics. To find an answer to the question "What kind of experimental activity is the scientific employment of mathematics?" the book addresses the problems involved in formalizing abductive cognition. For this, it implements the concept and method of iconicity, modeling this theoretical framework mathematically through category theory and topoi. Peirce's concept of iconic signs is treated in depth, and it is shown how Peirce's diagrammatic logical notation of Existential Graphs makes use of iconicity and how important features of this iconicity are representable within category theory. Alain Badiou's set-theoretical model of truth procedures and his relational sheaf-based theory of phenomenology are then integrated within the Peircean logical context. Finally, the book opens the path towards a more naturalist interpretation of the abductive models developed in Peirce and Badiou through an analysis of several recent attempts to reformulate quantum mechanics with categorical methods. Overall, the book offers a comprehensive and rigorous overview of past approaches to iconic semiotics and abduction, and it encompasses new extensions of these methods towards an innovative naturalist interpretation of abductive reasoning.

Title:Iconicity And AbductionFormat:HardcoverDimensions:180 pages, 23.5 × 15.5 × 0.03 inPublished:September 27, 2016Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319442449

ISBN - 13:9783319442440

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Table of Contents

Introduction.- Modeling Abductive Reasoning.- Iconicity in Peirce's Semiotics.- Categorical Iconicity in Peirce's Existential Graphs.- Ontology and Abduction in Badiou's Being and Event.- Phenomenology and Iconicity in Badiou's Logics of Worlds.- Abductive Realism in Topos Theory.- Conclusion.