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Categories for the Working Philosopher 1st Edition Elaine Landry

Name: Categories for the Working Philosopher 1st Edition Elaine Landry
SKU: EB-6982708
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Categories for the Working Philosopher 1st Edition Elaine Landry Digital Instant Download

Author(s): Elaine Landry, (ed.)

ISBN(s): 9780198748991, 019874899X

Edition: 1

File Details: PDF, 4.97 MB

Year: 2018

Language: English

SKU: EB-6982708 Category: Mathematics - Applied Mathematics Tags: 019874899X, 1st Edition, 9780198748991, Categories for the Working, Elaine Landry

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ISBN-10 : 019874899X
ISBN-13 : 9780198748991
Author : 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.

Table of contents:

1: The Roles of Set Theories in Mathematics

2: Reviving the Philosophy of Geometry

3: Homotopy Type Theory: A Synthetic Approach to Higher Equalities

4: Structuralism, Invariance, and Univalence

5: Category Theory and Foundations

6: Canonical Maps

7: Categorical Logic and Model Theory

8: Unfolding FOLDS: A Foundational Framework for Abstract Mathematical Concepts

9: Categories and Modalities

10: Proof Theory of the Cut Rule

11: Contextuality: At the Borders of Paradox