Categories as mathematical models

  title={Categories as mathematical models},
  author={David I. Spivak},
  journal={arXiv: Category Theory},
  • David I. Spivak
  • Published 22 September 2014
  • Mathematics
  • arXiv: Category Theory
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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