Category theory does not derive the idea of a monad from philosophy, it merely reuses the word for an entirely unrelated purpose. It's like how a frog [1] to a farrier has nothing to do with the frog [2] from everyday use, nor to the frog [3] from railroading.

[1] https://en.wikipedia.org/wiki/Frog_(horse_anatomy)

[2] https://en.wikipedia.org/wiki/Frog

[3] https://en.wikipedia.org/wiki/Frog_(disambiguation)#Railroad...