Definition: In mathematical logic, a concept of connectedness is a property that an element or set must satisfy in order to be considered "connected" within some context. A set is said to be connected if it contains no proper subset that is also connected. This means that any two points in the set are separated by at least one point from which they can be connected by a path. For example, consider a set S = {1, 2, 3}. The elements of S are the integers