For questions about the surreal numbers, which are formed by extending thea real-closed ordered proper-class-sized field ofthat contains both the real numbers with infinitely large and infinitely smallthe 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.
Mike Shulman
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Glorfindel
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