Dravidian languages
Name

Caldwell coined the term "Dravidian" for this family of languages, based on the usage of the Sanskrit word Draviḍa in the work Tantravārttika by Kumārila Bhaṭṭa:

The word I have chosen is 'Dravidian', from Drāviḍa, the adjectival form of Draviḍa. This term, it is true, has sometimes been used, and is still sometimes used, in almost as restricted a sense as that of Tamil itself, so that though on the whole it is the best term I can find, I admit it is not perfectly free from ambiguity. It is a term which has already been used more or less distinctively by Sanskrit philologists, as a generic appellation for the South Indian people and their languages, and it is the only single term they ever seem to have used in this manner. I have, therefore, no doubt of the propriety of adopting it.

The origin of the Sanskrit word drāviḍa is the Tamil word Tamiḻ. Kamil Zvelebil cites the forms such as dramila (in Daṇḍin 's Sanskrit work Avantisundarīkathā) and damiḷa (found in the Sri Lankan (Ceylonese) chronicle Mahavamsa) and then goes on to say, "The forms damiḷa / damila almost certainly provide a connection of dr(a/ā)viḍa " with the indigenous name of the Tamil language, the likely derivation being "* tamiḻ > * damiḷ > damiḷa - / damila - and further, with the intrusive, 'hypercorrect' (or perhaps analogical) - r -, into dr(a/ā)viḍa. The - m -/- v - alternation is a common enough phenomenon in Dravidian phonology".

Bhadriraju Krishnamurti states in his reference book The Dravidian languages:

Joseph (1989: IJDL 18.2:134–42) gives extensive references to the use of the term draviḍa, dramila first as the name of a people, then of a country. Sinhala BCE inscriptions cite dameḍa -, damela - denoting Tamil merchants. Early Buddhist and Jaina sources used damiḷa - to refer to a people of south India (presumably Tamil); damilaraṭṭha - was a southern non-Aryan country; dramiḷa -, dramiḍa, and draviḍa - were used as variants to designate a country in the south (Bṛhatsamhita-, Kādambarī, Daśakumāracarita-, fourth to seventh centuries CE) (1989: 134–138). It appears that damiḷa - was older than draviḍa - which could be its Sanskritization.

Based on what Krishnamurti states (referring to a scholarly paper published in the International Journal of Dravidian Linguistics), the Sanskrit word draviḍa itself appeared later than damiḷa, since the dates for the forms with -r- are centuries later than the dates for the forms without -r- (damiḷa, dameḍa -, damela - etc.).
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