Definition: In mathematics, a "completeness" concept is typically associated with a set of numbers that are closed under addition and multiplication. In other words, if we have two sets A and B, then the union (A ∪ B) is equal to the intersection (A ∩ B), meaning that both A and B contain all elements from each other. For example, consider the set A = {1, 2, 3} and B = {4, 5,