JGWeissman comments on The Irrationality Game - Less Wrong

38 Post author: Will_Newsome 03 October 2010 02:43AM

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Comment author: JGWeissman 15 December 2010 05:47:37PM 3 points [-]

And if you try to use ordinal arithmetic then the addition won't be commutative which leads to other problems.

You can represent this sort of value by using lexigraphically sorted n-tuples as the range of the utility function. Addition will be commutative. However, Cata is correct that all but the first elements in the n-tuple won't matter.

Comment author: JoshuaZ 15 December 2010 06:04:26PM 0 points [-]

Yes, you're right. You can do this with sorted n-tuples.