Structures Mères: Semantics, Mathematics, and Cognitive Science
Springer International Publishing (Verlag)
978-3-030-51823-3 (ISBN)
This book reports on cutting-edge concepts related to Bourbaki's notion of structures mères. It merges perspectives from logic, philosophy, linguistics and cognitive science, suggesting how they can be combined with Bourbaki's mathematical structuralism in order to solve foundational, ontological and epistemological problems using a novel category-theoretic approach. By offering a comprehensive account of Bourbaki's structuralism and answers to several important questions that have arisen in connection with it, the book provides readers with a unique source of information and inspiration for future research on this topic.
Chapter 1: Reflections on Bourbaki's Notion of "Structure" and Categories.- Chapter 2: Bourbaki and Foundations.- Chapter 3: Forms of Structuralism: Bourbaki and the Philosophers.- Chapter 4: Ladders of sets and isomorphisms The shortcomings of Bourbaki's notion of "structure".- Chapter 5: The difficulty of neutrality A graph-theoretical solution.- Chapter 6: The wrapped dimension of Bourbaki's structures mères.
| Erscheinungsdatum | 17.09.2021 |
|---|---|
| Reihe/Serie | Studies in Applied Philosophy, Epistemology and Rational Ethics |
| Zusatzinfo | XI, 185 p. 18 illus., 8 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 314 g |
| Themenwelt | Geisteswissenschaften ► Philosophie ► Allgemeines / Lexika |
| Geisteswissenschaften ► Philosophie ► Logik | |
| Schlagworte | Archetypes in Art • Archetypes in Languages • Bourbaki's Structuralism • Bourbaki’s Structuralism • Bourbaki's Structures-meres • Bourbaki’s Structures-meres • Mathematical structuralism • Relations between set theory and category theory • Structural Neutral Monism • Structure Grounding Problem • Symbolic Forms • The Architecture of Mathematics • Topological Epistemology |
| ISBN-10 | 3-030-51823-X / 303051823X |
| ISBN-13 | 978-3-030-51823-3 / 9783030518233 |
| Zustand | Neuware |
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