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Jiro comments on Torture vs. Dust Specks - Less Wrong
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If you think that 100C water is hot and 0C water is cold, then there is some point in the middle of this sequence where your opinion changes even though the numbers only change slightly.
My opinion would change gradually between 100 degrees and 0 degrees. Either I would use qualifiers so that there is no abrupt transition, or else I would consider something to be hot in a set of situations and the size of that set would decrease gradually.