👉 The term "semiclosure" is a concept in mathematical logic and set theory. It refers to a property of sets that allows for several different interpretations or definitions. In mathematics, a set A has a semiclosure if it contains exactly two elements, x and y (where x ≠ y), such that there exists an element z in the set such that: 1. x < z ≤ y 2. There does not exist any other element m in A with 0 ≤ m <