Hm. I think that all makes sense.
Now I'm wondering whether specificity can be measured in a sort of absolute sense rather than in a relative sense.
You mention that sunny day is more specific than day because it adds weather. Or as others have mentioned, because the set of points it includes is a subset of the set of points that day includes.
But what about the concept of "pizza that is warm, has an exterior that is thin and crispy, an interior that is warm, chewy, and fresh, a thin layer of tomato sauce that is mildly sweet and acidic, and small dollups of fresh mozzarella cheese that is cool and soft"? Can we say that this pizza concept is specific? That it's more specific than day or even sunny day, despite being distant in Thingspace from the day and sunny day concepts?
Intuitively the answers to those questions seem to be "yes", but I'm not sure why, at least not formally.
Maybe it's about "potential for confusion". If I said "the pizza was good", the good pizza concept is it's easy to be confused about what the concept is pointing too (thick or thin crust? red or white sauce?). I suppose this is because there are a lot points clustered together in the good pizza concept.
Alternatively, if I said "last weekend", I used a lot less words than I did in my "pizza that is warm..." ramble, but I still think "last weekend" is quite specific. I suppose because even though I'm only specifying two "things" -- "last" and "weekend" -- the potential for confusion is low. There are only two days "last weekend" can be referring to.
[As mentioned in a linked article, the commonly stated justification was to "lock in the juices", which isn't true, but it wouldn't surprise me if food safety was the actual impetus behind that advice.]
I actually think there is an important element of truth to the idea that searing locks in the juices. This video discusses it.
The idea is that no, searing doesn't lock in the juices that are inside the meat. However, the perception of juiciness is subjective and not just dependent on the actual juice in the meat. A big part of what makes you perceive something as juicy is how much it makes your mouth water, and searing does seem to make your mouth water a lot more.
That's great to hear!
One thing I've heard is that for crispy outsides, after parcooking you want to shake 'em up aggressively so that there's a pasty substance on the outside like in this image. It provides more surface area for browning.
This post from Serious Eats has some other tips that you might be interested in.
There are some other things that I wanted to say but struggled to fit in to the OP. I'll mention them here (in a rather brain-dumpy manner):
Yes, traditionally people would sear and then put in the oven so the "reverse" in "reverse sear" is alluding to the fact that you're switching the order by going oven first and sear second.
Some other comments:
Ah I see. Thanks for clarifying. I see now that it was mentioned but yeah, I lost sight of it while reading.
I'd be interested to hear more about how governments currently deal with it. It seems kinda obvious to me that we wouldn't want to trust that there is no state-level hacking going on, and that we'd want something like what you propose in the post where you can know it's random without having to trust people. I always assumed they had some sort of fancy math-y solution, but from what you're saying it sounds like maybe they don't.
What if instead of one sources of randomness, we have each candidates provide their own?
Maybe instead of one person-with-a-hat randomizer, we could have each candidate be their own randomness source. We just need a way for candidates' randomness to be merged in a way that determines the winner.
I got a little confused here. If you have a source of randomness available to you, why move forward to something like Rock-Paper-Scissors? Why not just say "we'll generate a random number between 0 and 1. I win if it's between 0 and 0.5, you win if it's between 0.5 and 1, we re-run if it's exactly 0.5"?
Is it because both parties can't agree that the source of randomness is fair?
The paper's in a hat discussion made me think back to this from Probability is in the Mind:
I believe there was a lawsuit where someone alleged that the draft lottery was unfair, because the slips with names on them were not being mixed thoroughly enough; and the judge replied, "To whom is it unfair?"
Not that I don't think there can be legitimate problems with the degree of randomness. Just that in the absence of legitimate problems, people still might have problems with it that aren't legitimate.
Yes, that visual diagram is very helpful. Thank you! I think I mostly get it now.