Each compartment has its own threshold for evidence.
The post reminded me of Christians talking bravely about there being plenty of evidence for their beliefs. How does that work?
When evidence is abundant we avoid information overload by raising the threshold for what counts as evidence. We have the luxury of taking our decisions on the basis of good quality evidence and the further luxury of dismissing mediocre evidence as not evidence at all.
Evidence is seldom abundant. Usually we work with a middling threshold for evidence, doing the best we can with the mediocre evidence that the middle threshold admits to our councils, and accepting that we will sometimes do the wrong thing due to misleading evidence.
When evidence is scarce we turn our quality threshold down another notch, so we still have evidence, even if it is just a translation of a copy of an old text that is supposed to be eye witness testimony but was written down one hundred years after the event.
I think that the way it works with compartmentalization is that we give each compartment its own threshold. For example, an accountant is doing due diligence work on the prospect for The Plastic Toy Manufacturing Company. It looks like being a good investment, they have an exclusive contract with Disney for movie tie-ins. Look, it says so, right there in the prospectus. Naturally the accountant writes to Disney to confirm this. If Disney do not reply, that is a huge red flag.
On Sunday the accountant goes to Church. They have a prospectus, called the Bible, which makes big claims about their exclusive deal with God. When you pray to God to get confirmation, He ignores you. Awkward!
People have a sense of what it is realistic to expect by way of evidence which varies between the various compartments of their lives. In every compartment their beliefs are comfortably supported by a reasonable quantity and quality of evidence relative to the standard expected for that compartment.
Should we aim at a uniform threshold for evidence across all compartments? That ideas seems too glib. It is good to be more open and trusting in friendship and personal relationships than in business. One will not get far in artistic creation if one doubts ones own talent to the extent of treating it like a dodgy business partner.
Or maybe having a uniform threshold is exactly the right thing to do. That leaves you aware that in important areas of your life you have little evidence and your posteriori distributions have lots of entropy. Then you have to live courageously, trusting friends and lovers despite poor evidence and the risk of betrayal, trusting ones talent and finishing ones novel despite the risk that it is 1000 pages of unpublishable drek.
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... Um, the default assumption is that any given hypothesis is wrong, you can't get your priors to converge otherwise. Omnipotent intelligent beings are sufficiently complex that I'd need a few megabits in their favor before I gave them parity with physics.
No, that is not the default way to handle a hypothesis. The default is to ask: why should I believe this? If they have reasons, you look into it, assuming you care. If the reasons are false, expound upon that. If they are not false, you cannot simply claim that, since the proof is insufficient, it is false.
The point of my argument was that there was very little evidence either way. I implied that truth of the hypothesis would have no certain effect upon the world. Thus it is untestable, and completely unrelated to science. Therefore, any statement that it is false needs either a logical proof (all possible worlds), or to go on faith.
The physics analogy was on the other subject, of where we set the thresholds. In this case, even if we set them very low, we can say nothing. Your response makes more sense to the question of whether it is a belief you should personally adopt, not whether it is true or not.
Side Note: A few megabits? Really? You think you are that close to infallible? I know I'm not, even on logical certainties.