Yes on the last thing you said. 'Nomenclature' is the word to use. Though technically most games NOT first person are indeed third person, since you're seeing your avatar rather than being the avatar, 3rd person contextually refers to the relationship of the camera to the character( Hitman2, Draken, TombRaider, SplinterCell ).
Games viewed from a 'birds eye view', such as those in most RPG's or RTS's are also called "top down, 3/4 or gods eye view". Again, though techincally third person, this more clearly defines the view the game is expected to be played in.
3rd person is more closely related to 1st person, which is why many games offer one or the other as a viewing option in the same game.
Oh well...thats more or less what was in my missing post.
![icon_mrhappy :D](./images/smilies/icon_mrhappy.gif)
Cheers