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.
| ISBN: | 9783319442440 |
| Publication date: | 27th September 2016 |
| Author: | Gianluca Caterina, Rocco Gangle |
| Publisher: | Springer an imprint of Springer International Publishing |
| Format: | Hardback |
| Pagination: | 180 pages |
| Series: | Studies in Applied Philosophy, Epistemology and Rational Ethics |
| Genres: |
Philosophy: logic Philosophy: epistemology and theory of knowledge Semiotics / semiology Cognition and cognitive psychology Algebra |
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.
Iconicity and Abduction features in the following genres: Philosophy: logic, Philosophy: epistemology and theory of knowledge, Semiotics / semiology, Cognition and cognitive psychology, Algebra
Iconicity and Abduction is available in Hardback
Iconicity and Abduction was written by Gianluca Caterina, Rocco Gangle and published by Springer an imprint of Springer International Publishing
Iconicity and Abduction has 180 pages
Yes it is part of Studies in Applied Philosophy, Epistemology and Rational Ethics series