Numbers/ Discussion

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Migeru: Still trying to translate surreal numbers into go positions. In ZeroInCGTTerms I studied { | } = 0. Now I can construct {0| }=1, { |0}=-1 and {0|0} (not a number).

[Diagram]

{0| } = 1

Black can play to { | } = 0, but white has no legal moves. The fact that Black has one more legal move than white translates into a score of 1. This is very interesting, because it indicates that the original game of go was exactly a combinatorial game of the kind "the last player to legally move wins"[1] (see tedomari).

{ |0} = -1 is the color-reversed version of {0| } = 1.


[1] Bill: No pass go is not the same as the original game surmised by Zhang Hu, which is a kind of territory scoring with a group tax.


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