Categories as mathematical models

David I. Spivak

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arXiv · 1409.6067

Categories as mathematical models

David I. Spivak

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Abstract

Written to be contributed as the "mathematical modeling" chapter of a book, edited by Elaine Landry, to be titled "Categories for the Working Philosopher". In this chapter, category theory is presented as a mathematical modeling framework that highlights the relationships between objects, rather than the objects in themselves. A working definition of model is given, and several examples of mathematical objects, such as vector spaces, groups, and dynamical systems, are considered as categorical models.

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David I. Spivak. 2014-09-22. Categories as mathematical models. https://arxiv.org/abs/1409.6067

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