text: in the cosby show, which character had an imaginery friend? i am trying to find this out to surprise a friend with something.  love the cosby show by the way.  hope someone knows this answer!  thanks they both did. rudy and olivia. there was an episode where rudy was telling olivia about her imaginerary friend and i think in that same episode cliff and claired were talking about olivia having one and they were drawing allusions to rudy having one on their own. i think in passing they said something about the older kids having imaginery friends also.