👉 In mathematics, a ramsey set is a set of points in a space such that any finite collection of nearby points in the space also belong to the set. In other words, it's a set that contains all the nearby points, which are not far from any point inside the set. For example, consider the set of points in the plane (x, y) where 0 ≤ x ≤ 1 and 0 ≤ y ≤ 2. This set contains all these points: (