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Jul 16, 2023 at 9:26 comment added Fernando Muro Eilenberg, S., and S. MacLane. “General Theory of Natural Equivalences.” Trans. Amer. Math. Soc. 58 (1945): 231–94.
Jul 16, 2023 at 1:00 comment added John Stillwell Indeed, MacLane said so himself, on p. 17 of Categories for the Working Mathematician: 'As Eilenberg-Mac Lane first observed, "category" has been defined in order to define “functor” and “functor” has been defined in order to define "natural transformation" .'
Jul 16, 2023 at 0:44 history answered Tom Goodwillie CC BY-SA 4.0