Categories as mathematical models
@article{Spivak2018CategoriesAM, title={Categories as mathematical models}, author={David I. Spivak}, journal={arXiv: Category Theory}, year={2018} }
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…
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