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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.
18
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Where do surreal numbers come from and what do they mean?
"...at least for now, I'm finished. All the questions that have yet to be answered are too hard." -- Jacob Lurie on surreal numbers, 1996