I'm learning category theory. I liked this statement in the Wikipedia article on commutative diagram: Commutative diagrams play the role in category theory that equations play in algebra The definition notes that all directed paths in the diagram with the same endpoints lead to the same result by composition.
I find the word commutative confusing because the paths or arrows do not commute AB = BA in the usual way. The paths are associative and so associative diagrams would make more sense to me. But that doesn't capture the fact that you get the same result if you take different paths. Perhaps simply path diagrams would be least confusing.
Does anybody else find the term commutative diagram unhelpful? Has anybody found alternative terminology?
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