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For questions about the surreal numbers, which are a real-closed ordered proper-class-sized field that contains both the real numbers and the ordinal numbers. Thus they contain both infinite numbers (including the ordinals, but also infinite numbers like ω-1 and sqrt(ω)) and infinitesimal numbers (like 1/ω). They can also be identified with a subclass of two-player partisan games.
3
votes
A question about J.H. Conway's SURREAL NUMBERS
Garabed, I believe the class of surreals can be encoded by a class formula in ZFC.
Surreal numbers are particular kinds of Conway games, and each Conway game can be expressed as a well-founded roote …
17
votes
Where do surreal numbers come from and what do they mean?
Not numbers exactly, but certainly Conway's games (and related game-like structures) have aroused plenty of interest in certain category theorists and logicians, as they can be used to give categorica …