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Planet Haskell0 Hot0 comments3 min read
The Universe of Discourse : The road to epsilon-zero: Infinite Nim as a coin-moving game
A blog post in a series exploring the path to epsilon-zero through combinatorial game theory. It reformulates the game of Nim as a coin-moving game on a numbered track, showing how moving coins leftward is isomorphic to removing beans from piles. The post then extends this strip model to represent infinite ordinals: a second strip represents ω, a grid represents ordinals up to ω², stacked grids approach ω³, and higher-dimensional structures approach ωω. This geometric framing provides an intuitive way to visualize transfinite ordinals without needing special token types.
Source: https://blog.plover.com/math/ordinals/03-track-tokens.html. 8sync News only summarizes and links out; content copyright belongs to the authors and original sources.
