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You can't have a four-oval Venn diagram. Five, sure, but it's messy.

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EDIT: As discussed in another Venn diagram thread (5/22/14), you can have a four-oval shaped diagram, but you can't have a four-circle Venn diagram. I figured that I'd better correct this one before someone else jumped on it.

So you could have ovals representing "Like Pina Coladas", "Getting Caught in the Rain", "Making Love at Midnight", and "Have Half a Brain (at least)". The song doesn't exactly state that it is a minimum of half a brain, but I believe this to be the correct interpretation.