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falenas108 comments on Do the people behind the veil of ignorance vote for "specks"? - Less Wrong
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I don't think this works. Change it to:
"Would you rather be tortured for a week, or have someone else be tortured for 100 years?"
"Would you rather be tortured for 100 years, or have someone else be tortured for a week?"
The popular opinion would most likely be one week in both cases, which by this logic would lead to 3^^^3 people being tortured for a week. Utilitarianism definitely does not lead to this conclusion, so the query is not equivalent to the original question.