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TheOtherDave comments on The AI in Mary's room - Less Wrong Discussion
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There are three possibilities worth disambiguating here.
1) Mary predicts that she will do X given some assumed set S1 of knowledge, memories, experiences, etc., AND S1 includes Mary's knowledge of this prediction.
2) Mary predicts that she will do X given some assumed set S2 of knowledge, memories, experiences, etc., AND S2 does not include Mary's knowledge of this prediction.
3) Mary predicts that she will do X independent of her knowledge, memories, experiences, etc.