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Tyrrell_McAllister comments on Notion of Preference in Ambient Control - Less Wrong
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What was your "associated mapping K"? I took it to be what I'm calling the valuation map v. That's the only map that I associate to an interpretation.
K has a very small domain. Say, K("2+2")=K("5")="pull the second lever", K("4") undefined, K("A") undefined. Your v doesn't appear to be similarly restricted.