Categories for the Working Philosopher 1st Edition Elaine Landry

Categories for the Working Philosopher – Ebook Instant Download/Delivery ISBN(s): 9780198748991,019874899X

Product details:

• ISBN-10 ‏ : ‎ 019874899X
• ISBN-13 ‏ : ‎ 978-0198748991
• Author(s): Elaine Landry

Often people have wondered why there is no introductory text on category theory aimed at philosophers working in related areas. The answer is simple: what makes categories interesting and significant is their specific use for specific purposes. These uses and purposes, however, vary over many areas, both “pure”, e.g., mathematical, foundational and logical, and “applied”, e.g., applied to physics, biology and the nature and structure of mathematical models.

Borrowing from the title of Saunders Mac Lane’s seminal work “Categories for the Working Mathematician”, this book aims to bring the concepts of category theory to philosophers working in areas ranging from mathematics to proof theory to computer science to ontology, from to physics to biology to cognition, from mathematical modeling to the structure of scientific theories to the structure of the world.

Moreover, it aims to do this in a way that is accessible to non-specialists. Each chapter is written by either a category-theorist or a philosopher working in one of the represented areas, and in a way that builds on the concepts that are already familiar to philosophers working in these areas.

Table contents:

1. The Roles of Set Theories in Mathematics, Colin McLarty

2. Reviving the Philosophy of Geometry, David Corfi eld

3. Homotopy Type Theory: A synthetic approach to higher equalities, Michael Shulman

4. Structuralism, Invariance, and Univalence, Steve Awodey

5. Category Theory and Foundations, Michael Ernst

6. Canonical Maps, Jean-Pierre Marquis

7. Categorical Logic and Model Theory, John Bell

8. Unfolding FOLDS: A Foundational Framework for Abstract Mathematical Concepts, Jean-Pierre Marquis

9. Categories and Modalities, Kohei Kishida

10. Proof Theory of the Cut Rule, J.R.B Cockett and R.A.G Seely

11. Contextuality: At the Borders of Paradox, Samson Abramsky

12. Categorical Quantum Mechanics I: Causal Quantum Processes, Bob Coecke and Aleks Kissinger

13. Category Theory and the Foundations of Classical Spacetime Theories, James Weatherall

14. Six-dimensional Lorentz Category, Joachim Lambek

15. Applications of Categories and Biology and Cognition, Andree Ehresmann

16. Categories as Mathematical Models, David I. Spivak

17. Categories of Scientifi c Theories, David Hans Halvorson and Dimitris Tsementzis

18. Structural Realism and Category Mistakes, Elaine Landry

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