I have a confession: for at least a couple of weeks after I started hanging out a bunch with SingInst people, I was pretending I knew what an “alief” was. Eventually, I asked, and the answer Jasen gave me was: Your “aliefs” are what your elephant believes.
Nick has suggested that “cesires” (what the elephant wants) be talked about as well.
These days , I’m more inclined to describe my state by saying, “a part of me believes X” or “a part of me wants Y”, because then I have a better sense of how to continue the internal conversation.