Description

Book Synopsis

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.



Table of Contents
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.

Structures Mères: Semantics, Mathematics, and

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    A Hardback by Alberto Peruzzi, Silvano Zipoli Caiani

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      Book details

      Publisher Springer Nature Switzerland AG
      Published 15 September 2020
      ISBN-13 9783030518202
      978-3030518202
      ISBN-10 3030518205
      Also in:
      Dictionaries, Reference & Language Semiotics / semiology Cognition and cognitive psychology Philosophy: logic

      Description

      Book Synopsis

      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.



      Table of Contents
      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.

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