Xodarap comments on A Pure Math Argument for Total Utilitarianism - Less Wrong
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Comments (36)
This is a good point - I am now regretting not having given more technical details on what it means to be "order preserving".
The requirement is that
X > 0 ==> X + Y > Y. I've generated the graph under the assumption thatMedium > 0, which results in (very good, medium) > (very good). Clearly the antecedent doesn't hold ifMedium < 0, in which case the graph would go the other direction, as you point out.