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Games as recursive coalgebras

Recursive coalgebras, game values, and the categorical structure of combinatorial games.

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Goals

Original goal text

Explain how recursive game positions, game values, and operations such as Conway addition fit together, and identify what this explains about the Nim-sum.

  1. To understand why Nim-sum works

  2. Categorical unification of recursive, geometric and logical aspects of combinatorial game theory

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