Because of other problems with this, I’ve replaced it with the much more general concept of a preorder. This can express all the things we want to express, but is a lot less intuitive for how humans model things. I may come up with some alternative definition at some point (less general than a preorder, but more general than this post.
Hey there! Thanks for your long comment—but, alas, this model of partial preferences is obsolete :-(
See: https://www.lesswrong.com/posts/BydQtwfN97pFwEWtW/toy-model-piece-1-partial-preferences-revisited
Because of other problems with this, I’ve replaced it with the much more general concept of a preorder. This can express all the things we want to express, but is a lot less intuitive for how humans model things. I may come up with some alternative definition at some point (less general than a preorder, but more general than this post.
Thanks for the comment in any case.
Never mind—I had fun thinking about this :-).