For those who don't know, the "preface paradox" is an epistemic paradox wherein an author painstakingly researches every single fact he asserts in a new book he's releasing. As a result, he believes each assertion made in the book with a high degree of certainty. However, he also takes care to write in the book's preface that, being cognizant of his own fallibility and of the unlikelihood that he's released a perfect work, he's likely to have made a mistake somewhere, and pre-emptively apologizes for doing so. Thus the paradox arises as it seems he rationally believes two beliefs that cannot be true at the same time, yet is aware of this inconsistency.
Generally, this has been framed as a question of whether one can rationally hold jointly inconsistent beliefs. My question is what ramifications this has on whether one can consciously hold inconsistent beliefs, period. If its psychologically possible to consciously hold inconsistent beliefs, is it also possible to hold contradictory beliefs as well?
(more info on the paradox) http://plato.stanford.edu/entries/epistemic-paradoxes/#PrePar