I am working through Category for Scientists and am having trouble with the following question:
Let $A$ and $B$ be the sets defined by $A := \{a, 7, Q\}$ and $B := \{r8, "Bob", \clubsuit\}$. Note that the sets $A$ and $B$ are isomorphic. Supposing that $f : B \rightarrow \{1, 2, 3, 4, 5\}$ sends "Bob" to 1, sends $\clubsuit$ to 3, and sends $r8$ to 4, is there a canonical function $A \rightarrow \{1, 2, 3, 4, 5\}$ corresponding to $f$?
I'm not entirely certain what the question is asking. What do "canonical function" and "corresponding to $f$" mean?