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Rodin, Andrei

Axiomatic Method and Category Theory

Rodin, Andrei - Axiomatic Method and Category Theory, ebook

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ISBN: 9783319004044
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Table of contents

1. Introduction
Andrei Rodin

Part I. A Brief History of the Axiomatic Method

2. Euclid: Doing and Showing
Andrei Rodin

3. Hilbert: Making It Formal
Andrei Rodin

4. Formal Axiomatic Method and the Twentieth Century Mathematics
Andrei Rodin

5. Lawvere: Pursuit of Objectivity
Andrei Rodin

Part II. Identity and Categorification

6. Identity in Classical and Constructive Mathematics
Andrei Rodin

7. Identity Through Change, Category Theory and Homotopy Theory
Andrei Rodin

Part III. Subjective Intuitions and Objective Structures

8. How Mathematical Concepts Get Their Bodies
Andrei Rodin

9. Categories Versus Structures
Andrei Rodin

10. New Axiomatic Method (Instead of Conclusion)
Andrei Rodin

Keywords: Philosophy, Epistemology, Category Theory, Homological Algebra, Mathematical Logic and Foundations

Author(s)
Publisher
Springer
Publication year
2014
Language
en
Edition
2014
Series
Synthese Library
Page amount
369 pages
Category
Philosophy
Format
Ebook
eISBN (PDF)
9783319004044

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