Title Statements
- Full title :Structures Mères
Edition Statements
- Publication Date:2020.
Publication Statements
- Publisher(s):Springer International Publishing AG
- Place of Publication:Cham
- Language:eng
- Publication Date:2020.
Notes
Description based upon print version of record.
The Physical Object
- Description:1 online resource (191 p.).
Edition Identifiers
- ISBN:9783030518219, 3030518213
- oclc:on1206401517
- LC Classification:B1-5802
Table of Contents
Intro -- Introduction -- Contents -- Reflections on Bourbaki's Notion of "Structure" and Categories -- 1 Structure in Bourbaki's Éléments de Mathématique -- 2 Category Theory as a Theory of Mathematical Structure and Form -- 3 Duality Theory for Commutative Rings -- 4 The Fate of the "Mother Structures": Algebraic and Ordered Structues -- 5 The Fate of the "Mother Structures": Topological Structures -- 6 Conclusion -- References -- Bourbaki and Foundations -- 1 Bourbaki's Foundations -- 2 Bourbaki's Axiomatics -- 3 Far from the Madding Straitjacket -- References
Forms of Structuralism: Bourbaki and the Philosophers -- 1 Introduction -- 2 Discarding Bourbaki's Structuralism: A Practical Guide -- 2.1 Bourbaki's Evaluation of His Own Analysis -- 2.2 The Philosophers' Evaluation of Bourbaki's Analysis -- 3 Mathematical Structuralism: Its Architecture -- 3.1 Structuralism and the Axiomatic Method -- 3.2 Mother Structures and Their Descendants -- 4 Metamathematical Structuralism: Its Nature -- 4.1 Confusing the Tree for the Forest: The Notion of Mathematical Structure -- 4.2 Seeing the Forest: The Notion of Isomorphism
5 FOLDS: Encompassing All Forms of Structures -- 6 From Metamathem…
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