Linguistic Affiliation. Icelandic is a Germanic language related to Norwegian. Medieval Icelandic, the language of the historical-literary tradition, sometimes is called Old Norse. Icelandic has been said to be virtually unaltered since medieval times, although many Icelanders disagree. There are no family names. Everyone has one or two names and is referred to as the son or daughter of his or her father. Thus, everyone has a patronymic, or father's name. Directories are organized alphabetically by first name. There is some debate about the uniformity of the language. Purists of the nationalist-oriented independence tradition insist that there is no variation in Icelandic, but linguistic studies suggest variation by class. While all the people speak Icelandic, most also speak Danish and English.