Yes Amsterdam is older than New Amsterdam (New York). The earliest recorded use of the name "Amsterdam" is from a certificate dated 27 October 1275. New Amsterdam was founded on the 17th century.
It was common during the colonization of American to name the land "new ____". e.g. New York, New Jersey, New Orleans, New England...The founders were paying homage to the Amsterdam in Europe.
New Amsterdam was the largest Dutch colonial settlement in North America. During the second Anglo-Dutch War between England and the United Netherlands, the colony was surrendered to the English on 24...