You are over-simplifying Bayesian reasoning. Giving partial credence to propositions doesn’t work; numerical values representing partial credence must be attached to the basic conjunctions.
For example, if the propositions are A, B, and C, the idea for coping with incomplete information that every-one has, is to come up with something like P(A)=0.2, P(B)=0.3, P(C)=0.4 This doesn’t work.
One has to work with the conjunctions and come up with something like
P(A and B and C) = 0.1
P(A and B and not C) = 0.1
P(A and not B and C) = 0.1
P(A and not B and not C) = 0.2
P(not A and B and C) = 0.1
P(not A and B and not C) = 0.1
P(not A and not B and C) = 0.1
P(not A and not B and not C) = 0.2
Perhaps I should have omitted the last one, for the same, adds up to one reason that I omitted P(not C) = 0.6. One actually has to work with seven numbers not three.
Ordinarily I would approve of simplifying Bayesian reason in this way; it helps you get to your point quickly. The reason that I criticize it as an over-simplification is that you proceed to talk about fuzzing the propositions in four ways: vagueness, approximation, context-dependence, and sense vs nonsense. Propositions or basic conjunctions?
A big problem with Bayesian reasoning is that the number of basic conjunctions increases exponentially with the number of propositions. This makes Bayesian reason rather impractical. One must resort to various ugly hacks to tame this exponential explosion. I believe that the problem is not actually with Bayesian reasoning, but with having incomplete information. Any attempt to cope with missing information will suffer from this exponential explosion and need hacky fixes.
Maybe you can cope with vagueness, approximation, etc, by fuzzing the propositions, but when you try to accommodate missing information you will have to work with basic conjunctions. If proposition A has category boundaries that are fluid and amorphous in one way, and proposition B has category boundaries that are fluid in a different way, you will need some kind of product structure on fluidity so that you can cope with “A and B” and also “A and not B”, “not A and B”, and finally “not A and not B”. Maybe you can postulate that the fluidity of A is just the same whether B is true or false, but this is basically a hack to try to contain the exponential explosion of the inherent difficulties.
My take on the conflict theory analysis is that the reserve army of brutal thugs is a valuable resource for avant-garde revolutionaries. Think 1917 Russian revolution. Its was a close run thing with a brutal civil war. Typically the avant-garde don’t have the numbers. They may win power, but not have the numbers to hold on to it. They need to put boots on the necks of counter-revolutionaries. Since their tests for counter-revolutionariness have too many false negatives, they have to go large and put boots on the necks of the general population. Where do they find the feet to fill the boots? They release brutal thugs from prison to provide the muscle for the NKVD, KGB, Stasi, etc.
It is a very dangerous game. The avant-garde revolutionaries need to retain control of their brutal thugs. The thugs need to be kept divided. If some get ideas above their station, others are sent to kill them. But the Russian revolution and the French revolution both ate themselves. One faction within the revolutionary avant-garde sends their tame thugs to kill a rival faction within the avant-garde. The death toll rises and Stalin or Napoleon comes out on top.
I’m unclear on the causal connections here. Perhaps opposition to the death penalty is all high minded mercy. When the revolution comes, it is an unfortunate accident that the revolutionaries are gifted a reserve army of brutal thugs to help them consolidate their power. Or perhaps there are some strategic thinkers covertly funding the merciful people naturally inclined to oppose the death penalty. The money boosts the opposition to the death penalty, enough for mercy to defeat prudence.
It is not just domestic revolutionaries that one has to worry about. When the USSR took over Eastern Europe at the end of WWII, releasing brutal thugs from prison, to provide the muscle for the secret police, was one of the techniques used to impose the new communist governments.