Though Greenland geologically is a part of the continent of North America it has more cultural and traditional attachment to Europe. Many scientists argue that if a separate tectonic plate is the determinant of a continent and an island then Antarctica should also be an island.any people are of the opinion that Greenland is a continent but scientific and other data oppose this presumption thoroughly. In history Greenland was given a status of a continent but after a few years its position was downgraded. It has been included in the continent of North America now.