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Results tagged with surreal-numbers
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user 32178
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.
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What do we know about the computable surreal numbers?
The reals which are computable surreals are precisely the hyperarithmetical reals, as you conjectured. I'll be making use of your argument that the field operations are effective (really just additio …
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