Fair enough, I don't have the printed version around. It's wrong on that point and I can see that it can be misleading. To their credit, here's the current formulation from the online version:
> Members of Show can be presented as strings. All types covered so far except for functions are a part of Show. The most used function that deals with the Show typeclass is show. It takes a value whose type is a member of Show and presents it to us as a string.
This is correct. Whether it qualifies as a proper discussion might be debatable, but since the particular typeclass is simple enough, and seeing that this appears very early in the book, it seems reasonable.
> You've already matched your list to x earlier in the program so x:xs doesn't get a chance to run. You're not showing x and then falling through to pass xs to the function again and chopping the first element off of that to show - and so on.
This is incorrect. Definitions are not really "executed" (or run) in Haskell; you simply replace the left-hand side of the definition with the right-hand side. You use the first definition (in file order) with a matching LHS. So in your example, the third definition for rsoat would be used for all lists with more than one element. So the "falling-through" as meant here is not what you get with, say, a switch statement in C.