👉 In mathematics and logic, an "illimited" set is a collection of elements that cannot be further reduced to smaller sets. For example, in algebraic structures such as groups or rings, if you have two elements that are not both zero (i.e., they do not commute), then the union of these two elements will always be infinite. Similarly, in logic and set theory, an "illimited" relation is a binary relation that cannot be defined by a finite number of simple conditions.