Section 3.2.4 Coercion order confusing

[jxu]

The book says different types will be coerced in order: character -> double -> integer -> logical.

However the arrows don't make sense to me. I would put the arrows in reverse, like logical -> integer -> double -> character. That shows which can become which with implicit coercion. For example, c("a",1) becomes an atomic vector with elements "1" and "a", so in this case double -> character.
Or you could say in terms of "subsets" (although they are not really subsets), logical < integer < double < character.