Ordinal representation

Ordinal representation refers to the way mathematicians understand and describe the "position" or "order" of objects in a sequence, especially beyond finite lists. It extends our concept of counting beyond finite numbers into infinite sizes, like the sequence of all natural numbers, then the sequence of all countable sets, and so on. These "ordinal numbers" help us measure and compare different types of infinity by assigning an order to them. They are foundational in set theory and help us understand the structure and hierarchy of infinite collections in a precise way.