👉 In mathematics, an "orderable" object is one that can be ordered in a way that respects the ordering of other objects. This means that for any two objects A and B, there exists some natural number k such that A ≤ B implies A = B. For example, consider a set S of integers with the order relation defined by (a, b) ≤ (c, d) if ad = bc. This defines an order on S. Then it can be shown that any