Ordinal

An ordinal number, or ordinal, is a generalization of the concept of a natural number that is used to describe a way to arrange a collection of objects in order, one after another. In Incremental Ordinals, they are represented by two numbers, ord and over. The ord represents how large the ordinal is. The over is used to make successor ordinals with the same ord as limit ordinals. For example, the ordinal 10 in base 10 has ord 9 and over 1, and the ordinal 10 in base 4 has ord 3 and over 7.