In set theory, specifically in the context of ordinal numbers, a **limit ordinal** is an ordinal number that is not zero and is not a successor ordinal. To understand this better, let's break down the concepts involved: 1. **Ordinals**: Ordinal numbers extend the concept of natural numbers to describe the order type of well-ordered sets. They can be finite (like 0, 1, 2, 3, ...
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