Blick ins Buch

Iconicity and Abduction

Gianluca Caterina, Rocco Gangle (Autoren)

Buch | Hardcover

XIII, 180 Seiten

2016 | 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-44244-0 (ISBN)

Lese- und Medienproben

Blick ins Buch (midvox)

Artikel merken

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.

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.

Erscheinungsdatum	11.10.2016
Reihe/Serie	Studies in Applied Philosophy, Epistemology and Rational Ethics
Zusatzinfo	XIII, 180 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Geisteswissenschaften ► Philosophie ► Allgemeines / Lexika
Themenwelt	Geisteswissenschaften ► Philosophie ► Logik
Schlagworte	Abductive Reasoning in Badiou • Categorical Duality • category theory • Category Theory, Homological Algebra • Cayley's Theorem • Cognitive Psychology • Diagrammatic Reasoning • Epistemology • Formal Phenomenology • Functorial Semantics • Logic • Logic of Abductive Inference • Logic of Sheaves • Mathematical Abduction in Science • Model-Based Reasoning • partial orders • Peter Galison • Pierce's Existential Graphs • Pierce’s Existential Graphs • Religion and Philosophy • Semiotics • Semiotics of Iconicity • Set-Theoretical Ontology • Sheet of Indication • Topos Quantum Theory • Yoneda's lemma • Yoneda’s Lemma
ISBN-10	3-319-44244-9 / 3319442449
ISBN-13	978-3-319-44244-0 / 9783319442440
Zustand	Neuware