1.

Record Nr.

UNINA9910420923703321

Titolo

Structures Mères: Semantics, Mathematics, and Cognitive Science / / edited by Alberto Peruzzi, Silvano Zipoli Caiani

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020

ISBN

9783030518219

3030518213

Edizione

[1st ed. 2020.]

Descrizione fisica

1 online resource (XI, 185 p. 18 illus., 8 illus. in color.)

Collana

Studies in Applied Philosophy, Epistemology and Rational Ethics, , 2192-6263 ; ; 57

Disciplina

510.1

Soggetti

Logic

Semiotics

Cognitive psychology

Proof theory

Cognitive Psychology

Proof Theory and Constructive Mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

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.

Sommario/riassunto

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.