A blog post in a series exploring ordinals up to epsilon-zero (ε₀) through the lens of combinatorial game theory. It shows how Nim heaps representing ordinals up to ωω can be elegantly encoded as finite sequences of coordinates rather than requiring infinite-dimensional geometric intuition. The coordinate representation simplifies the move rules and makes the structure of ordinals like ωω much more approachable, setting the stage for tackling ε₀ in subsequent posts.
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