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I don’t know anything about category theory, but asides about it occur so often in my daily practice that I really should; moreover, since i frequently see it apply to formal syntax and network descriptions, two areas I am interested in, I am probably therefore missing some important tools from my toolbox if I don’t look it up.

However, I probably won’t; my supervisor is of the opinion that reading mathematics is a waste of time that gets in the way of building maximally parsimonious models. (I suspect we harbour different definitions of parsimonious.)

- Mark Chu-Carroll:
- John Baez has a wealth of, to my innocent mind, provocative uses of this
category thingy
- Diagrams (in a surprsingly broad sense of that term)
- Elevator pitch (Possibly an elevator to the core of the earth)
- Networks (Once again, a to-me amazingly general take on networks, although perhaps that should not be surprising given the extreme generality of the tool)
- a tale of n-Categories <http://math.ucr.edu/home/baez/week73.html>n

- Maarten Fokkinga, A Gentle Introduction to Category Theory - the calculational approach
- Barr and Wells
- Toposes, Triples and Theories
- Category Theory for Computing Science which is a highly recommended textbook with a cheap cover price, but only sold through a tedious shipping process at extortionate rates by the university of Montreal. (Don’t bother looking on Abebooks, it’s about $US130 there too. I imagine a thriving bootleg market for this one.)

- The nLab
- Steve Awodey’s Category Theory textbook
- Everyone’s secret alma mater, good old Wikiversity, has an Introduction to Category Theory
- on a similar bent, Stanford’s Encyclopedia of philosophy article looks good and has a killer bibliography
- Alexander Kurz’s listing
- The inevitable Math overflow question
- Andrea Asperti and Giuseppe Longo. Categories, Types and Structures. Category Theory for the working computer scientist
- Eugenia Cheng‘s Youtube lecture channel