Structures Meres: Semantics, Mathematics, and Cognitive Science

This book explores the application of Bourbakis structuralism to solve foundational, ontological, and epistemological problems, combining perspectives from logic, philosophy, linguistics, and cognitive science. It offers a comprehensive account of Bourbakis structuralism and provides insights into how it can be used to address these issues.

Format: Paperback / softback
Length: 185 pages
Publication date: 16 September 2021
Publisher: Springer Nature Switzerland AG

This book delves into groundbreaking concepts related to Bourbakis notion of structures mères, seamlessly merging perspectives from logic, philosophy, linguistics, and cognitive science. It proposes a novel category-theoretic approach to combine these diverse fields with Bourbakis mathematical structuralism, offering a comprehensive account of structuralism and providing insightful answers to numerous critical questions that have arisen in its context. By presenting a wealth of information and inspiring ideas for future research, this book serves as a unique resource for scholars seeking to explore the depths of Bourbakiss structuralism and its potential applications.

Introduction:
Bourbakis structuralism is a powerful framework for understanding the fundamental structures of mathematics and its applications. This book aims to explore the latest developments and applications of Bourbakiss structuralism, drawing from a wide range of disciplines.

Perspectives from Logic:
The book discusses the contributions of logic to structuralism, including the development of category theory and the use of logical methods to analyze mathematical structures. It also explores the relationship between structuralism and other philosophical frameworks, such as intuitionism and formalism.

Perspectives from Philosophy:
The book examines the philosophical implications of structuralism, including questions about the nature of mathematics, the role of intuition, and the relationship between mathematics and the physical world. It also explores the philosophical foundations of Bourbakiss structuralism and its relation to other philosophical traditions.

Perspectives from Linguistics:
The book explores the linguistic aspects of structuralism, including the use of language to describe mathematical structures and the relationship between language and mathematics. It also discusses the cognitive processes involved in mathematical thinking and the role of language in shaping our understanding of mathematics.

Perspectives from Cognitive Science:
The book discusses the cognitive aspects of structuralism, including the role of memory, attention, and problem-solving in mathematical thinking. It also explores the relationship between structuralism and other cognitive frameworks, such as artificial intelligence and neural networks.

Conclusion:
In conclusion, this book provides a comprehensive and interdisciplinary exploration of Bourbakiss structuralism, offering insights into its potential applications and its implications for mathematics, philosophy, linguistics, and cognitive science. It serves as a valuable resource for scholars and researchers seeking to advance their understanding of this important framework.

Weight: 314g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030518233
Edition number: 1st ed. 2020