It is standard wisdom in politics that if you control the agenda, it doesn’t matter how people vote.
I think I understand the confusion. When I say “vote”, I am not necessarily talking about electorates or plebiscites. In fact, Pettit’s paper is remarkable precisely for also considering situations that have nothing to do with politics or government.
Consider the case of a trust fund that must make decisions for the trust based on how the original creator specified it. For example, they may be charged to make investment decisions that best support a specific community or need. The executors of this trust try their hardest to meet the spirit as well as the letter of these instructions, so they end up adopting rules that require members to vote separately on whether a proposed action meets the spirit of the instructions and whether it meets the letter of the instructions. The rationale is that this ensures the executors as a whole have done their homework and cannot be held liable for missing one or the other requirement through a single vote.
The doctrinal paradox in this case demonstrates you can get different outcomes if you had them vote directly on whether it met spirit and letter, or had them vote separately on the components of the question.
I hope that this explains what I mean by “required to do it” by providing an incentive that has nothing to do with politics. I hope it also encourages a shift towards thinking in terms of systems and their consistency criterions.
I won’t respond to the rest of the comment because discourse about political agenda is not relevant to this discussion.
I have a huge problem with the “Some problems are boring” section, and it basically boils down into the following set of rebuttals:
Some problems may seem boring, but are vital to solve anyway
Some problems may seem boring, but their generalizations are interesting
Problems that seem boring may have really interesting solutions we are unaware of
Every single one of the examples cited in that section falls into this category:
They all have interesting generalizations, applications and potential solutions. Identifying arbitrary blotches on dental CT scans can be generalized to early-stage gum disease prevention. Figuring out optimal pricing for any item can assist in optimal market regulation. Identifying fraud actively makes the world safer and gives us tools to understand how cheaters adapt in real-time to detection events. And, be honest, if the answer to any of these turned not to be trivial at all—if this is what our models point to—no one would be suddenly claiming the problem itself is boring.
I feel really strongly about this because dismissing any problem as “boring” is isomorphic to asking “why do we fund basic science at all if we get no applications from it” or “why study pure math”, and we all ought to know better than to advance a position so well-rebuffed as “it seems really specific and not personally interesting to me, so why should we (as a society/field) care?”