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Aug 29, 2017 at 16:20 history edited Will Sawin CC BY-SA 3.0
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Aug 29, 2017 at 16:17 comment added Will Sawin @JoelDavidHamkins I thought I was discussing this. I guess I'll make it more explicit.
Aug 29, 2017 at 15:22 comment added Joel David Hamkins Will, doesn't your example in the comments still refute the claim that "every red-blue hackenbush game is a surreal number"? Perhaps it would be good to include a discussion of this in your answer.
Aug 29, 2017 at 5:59 history edited Will Sawin CC BY-SA 3.0
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Aug 29, 2017 at 0:55 comment added Timothy Chow In The Book of Numbers, Conway and Guy explicitly say, "Hackenbush chains can be infinite! Indeed, we allow the height of our Hackenbush chains to be any of Cantor's ordinal numbers." As an example they show (among other things) a picture of $\sqrt\omega$, whose order type is $\omega^2$.
Aug 28, 2017 at 19:58 history answered Will Sawin CC BY-SA 3.0