  (b) Indeed, no conclusion of the form AO follows logically from any  PF judgment. (c) More strongly: the fact, taken by itself, that  someone has made a certain PF judgment does not even supply her with  sufficient grounds to draw the corresponding AO conclusion. For even  if she makes one PF judgment which favors a over b, as in the case we imagined, she may also make other PF judgments which favor b over a (say, when  r is the consideration that b would be lucrative,  while a would be expensive). We do not want to say in that  case that she has sufficient grounds to draw each of two incompatible conclusions (that a is better than b, and that  b is better than a; these are incompatible provided the better-than relation is asymmetric, assumed here).