The terms space and set are not synonymous. A space is defined on a set. The collection of all subsets of a set X is called the power set and is typically deno

The terms space and set are not synonymous. A space is defined on a set. The collection of all subsets of a set X is called the power set and is typically denoted as P(X). Replacing something confusing but loosely understandable with something even more confusing isn't an improving anything