Suppose Mary has enough information to predict her own behavior. Suppose she predicts she will do x. Could she not, upon deducing that fact, decide to not do x?
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.
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.