The name "Caribbean" is named after the Caribs, one of the dominant Amerindian groups in the region at the time of European contact during the late 15th century.
The analogous "West Indies" originates from Christopher Columbus' idea that he had landed in the Indies (then meaning all of south and east Asia) when he had actually reached the Americas.
The Spanish term Antillas was commonly assigned to the newly discovered lands; stemming from this, "Sea of the Antilles" is a common alternate name for the Caribbean Sea in various European languages.
In the English-speaking Caribbean, someone from the Caribbean is usually referred to as a "West Indian", although the rather cumbersome phrase "Caribbean person" is sometimes used. The use of the words "Caribbean" and "Caribbeans" to refer to a West Indian or West Indians is largely unknown in the English-speaking Caribbean.