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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 votes

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
Allen Knutson's user avatar