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Armenian, Azeri, Ossetic and Russian are included here, because they are spoken in the Caucasus.
Northeast Caucasian, Northwest Caucasian and Kartveli are included here, because they are unique to the Caucasus. All of the languages in those Categories are spoken in the Caucasus. I didn't include here any of the individual languages in these three families, because they are all spoken in the Caucasus, but i did include the articles about the families.
Theories about unifying the Caucasian language families also belong in this category.
If you're going to include Armenian and Azerbaijani, for example, renaming is appropriate as "Caucasian languages" implies only those languages within the traditional classifications "Caucasian", viz., Kartvelian, Northwest, Northeast, North-Central Caucasian genetic groups. (Taivo (talk) 17:04, 1 May 2008 (UTC))
Of course. This rationale that i wrote here is already with the new geographical name in mind :)