I've often had half-finished LW post ideas and crossed them off for a number of reasons, mostly they were too rough or undeveloped and I didn't feel expert enough. Other people might worry their post would be judged harshly, or feel overwhelmed, or worried about topicality, or they just want some community input before adding it.
So: this is a special sort of open thread. Please post your unfinished ideas and sketches for LW posts here as comments, if you would like constructive critique, assistance and checking from people with more expertise, etc. Just pile them in without worrying too much. Ideas can be as short as a single sentence or as long as a finished post. Both subject and presentation are on topic in replies. Bad ideas should be mined for whatever good can be found in them. Good ideas should be poked with challenges to make them stronger. No being nasty!
Can you characterize a bit more concretely what you mean, by zooming in on a tiny part of this planned work? It's no easy task to go from common sense to math, and not shoot your both feet off in the process.
Basically, I want to reconstruct, slowly, the dutch book and vulnerability arguments, but step by step, with all the bits that confused me filled in.
The basic common sense rule that these are built on is "don't accept a situation in which you know you automatically lose" (where "lose" is used to the same level of generality that "win" is in "rationalists win.")
One of the reasons I like dutch book/vulnerability arguments is that each step ends up being relatively straightforward as to getting from that principle to the math. (Sometimes an additional concept needs to be introduced, not so much proven as much as defined and made explicit.)