Formal preference is like prior: both current beliefs and procedure for updating the beliefs; beliefs change, but not the procedure.
I object to your talking about "formal preference" without having a formal definition. Until you invent one, please let's talk about what normal humans mean by "preference" instead.
I'm trying to find a formal understanding of a certain concept, and this concept is not what is normally called "preference", as in "likes". To distinguish from the word "preference", I used the label "formal preference" in the above comment to refer to this concept I don't fully understand. Maybe the adjective "formal" is inappropriate for something I can't formally define, but it's not an option to talk about a different concept, as I'm not interested in a different concept. Hence I'm confused about what ...
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