Even and odd ordinals

In set theory, ordinals are a type of ordinal number that extend the concept of natural numbers to describe the order type of well-ordered sets. Ordinals can be classified into two main categories: even ordinals and odd ordinals, similar to how natural numbers are classified. 1. **Even Ordinals**: An ordinal is considered even if it can be expressed in the form \(2n\), where \(n\) is a natural number (including 0).