(no subject)

[timelets]

I can't come up with a relevant and/or real-life example of two different functors mapping one category to another. How would I apply a natural transformation so that it makes a difference?

Comments

[ecreet]

I know lots of examples, but they of course involve functors in the mathematical sense, as in a bunch of data related to categories, which are also understood as a bunch of data. Not "words with arrows between them". Are you sure your understanding of "relevant and/or real-life" does not contradict your request of there being not just one obvious way to organize real-life notions into diagrams with arrows?