Stuart_Armstrong comments on No independence of irrelevant alternatives (picture proof) - Less Wrong
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Nearly. But I used more than an ordinal symmetry to be able to actually select the points I wanted (ordinally, "choice 3" is the same as "50% between choices 1 and 5", "50% between choices 2 and 4" and so on; I used the stronger symmetry to be able to choose option 3).