premise: The Bahamas is named after an archipelagic state.
hypothesis: Eleuthera [ iˈluːθərə ] refers both to a single island in the archipelagic state of The Commonwealth of the Bahamas and to its associated group of smaller islands . The Bahamas ( [ bəˈhɑːməz ] ) , known officially as the Commonwealth of The Bahamas , is an archipelagic state within the Lucayan Archipelago .