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Published online by Cambridge University Press: 13 October 2022
We end by taking a step back and summing up some of the main principles of category theory, to make sure that the ideas have not been overwhelmed by the details. We begin with the motivations: the purpose of abstraction, and the idea of gaining structural understanding. We then move on to the general process of actually doing category theory, and end with some aspects of its practice: the idea of morphisms, diagrammatic reasoning, coherence, universal properties, structural awareness, and the nuance to be gained from higher dimensions.
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