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Categories For The Working Philosopher 1st Edition by Elaine M Landry ISBN 019874899X 9780198748991

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Author(s): Landry, Elaine M.
ISBN(s): 9780198748991, 019874899X
Edition: 1
File Details: PDF, 7.70 MB
Year: 2017
Language: english
SKU: EB-38442346 Categories: , Tags: ,

Categories For The Working Philosopher 1st Edition by Elaine M. Landry – Ebook PDF Instant Download/Delivery: 019874899X, 9780198748991

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Product details:

ISBN 10: 019874899X 

ISBN 13: 9780198748991

Author: Elaine M. 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 of 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 to Biology and Cognition, Andrée 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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Tags: Elaine M Landry, Categories, Working, Philosopher