1) “The point is that the subject has the same experiences as that of having one headache five times, and therefore has the same experiences as five headaches among five people.”
One subject-of-experience having one headache five times = the experience of what-it’s-like-of-going-through-5-headaches. (Note that the symbol is an equal sign in case it’s hard to see.)
Five headaches among five people = 5 experientially independent experiences of what-it’s-like-of-going-through-1-headache. (Note the 5 experiences are experientially independent of each other because each is felt by a numerically different subject-of-experience, rather than all by one subject-of-experience.)
The single subject-of-experience does not “therefore has the same experiences as five headaches among five people.”
2) “You think it should be “involves more pain for one person than”. But I think it should be “involves more pain total”, or in other words I take your metric, evaluate each person separately with your metric, and add up the resulting numbers.”
Ok, and after adding up the numbers, what does the final resulting number refer to in reality? And in what sense does the referent (i.e. the thing referred to) involve more pain than a major headache?
Consider the case in which the 5 minor headaches are spread across 5 people, and suppose each minor headache has an overall shittiness score of 2 and a major headache has an overall shittiness score of 6. If I asked you what ‘2’ refers to, you’d easily answer the shitty feeling characteristic of what it’s like to go through a minor-headache. And you would say something analogous for ‘6’ if I asked you what it refers to.
You then add up the five ’2’s and get 10. Ok, now, what does the ’10′ refer to? You cannot answer the shitty feeling characteristic of what it’s like to go through 5 minor headaches, for this what-it’s-like is not present since no individual feels all 5 headaches. The only what-it’s-like that is present are 5 experientially independent what-it’s-like-of-going-through-1-minor-headache. Ok so what does ’10′ refer to? 5 of these shitty feelings? Ok, and in what sense do 5 of these shitty feelings involve more pain than 1 major headache? Clearly not in an experiential sense for only the what-it’s-like-of-going-through-5-minor-headaches is plausibly experientially worse than a major headache. So in what sense does the referent involve more pain than a major headache?
THIS IS THE CRUX OF OUR DISAGREEMENT. I CANNOT SEE HOW 5 what-it’s-like-of-going-through-1-minor-headache involves more pain than 1 major headache. YES, mathematically, you can show me ’10 > 6′ all day long, but I don’t see any reality onto which it maps!
3) “It’s just plain old cardinal utility: the sum of the amount of pain experienced by each person.”
Yes, but I don’t see how that “sum of pain” can involve more pain than 1 major headache because what that “sum of pain” is, ultimately speaking, are 5 what-it’s-likes-of-going-through-1-minor-pain, and NOT 1 what-it’s-like-of-going-through-5-minor-pains.
4) “Why?”
Because ultimately you’ll need an account of ‘involves more pain than’ on which 5 minor headaches spread across 5 people can involve more pain than 1 major headache. And in that situation, it is clearly the case that the 5 minor headaches are not experientially worse than the 1 major headache (for only the what-it’s-like-of-going-through-5-minor-headaches can plausibly be experientially worse than 1 major headache).
My point was just that you’ll need an account of ‘involves more pain than’ that can make sense of how 5 experientially independent what-it’s-likes-of-going-through-1-minor-headache can involve more pain than 1 major headache, for my account (i.e. “is experientially worse than”) certainly cannot make sense of it.
5) “It is distributed − 20% of it is in each of the 5 people who are in pain.”
But when it’s distributed, you won’t have an overall shittiness that is shittier than the experience of 1 major headache, at least not when we understand “is shittier than” as meaning “is experientially worse than”. For 5 experientially independent what-it’s-likes-of-going-through-1-minor-headache are not experientially worse than 1 major headache: only the what-it’s-like-of-going-through-5-minor-headaches can plausibly be experientially worse than 1 major headache.
Your task, again, is to provide a different account of ‘involves more pain than’ or ‘shittier than’ on which, somehow, 5 experientially independent what-it’s-likes-of-going-through-1-minor-headache can somehow involve more pain than 1 major headache.
Yes, each of the 5 minor headaches spread among the 5 people are phenomenally or qualitatively the same as each of the 5 minor headaches of the one person. The fact that the headaches are spread does not mean that any of them, in themselves, feel any different from any of the 5 minor headaches of the one person. A minor headache feels like a minor headache, irrespective of who has it.
Now, each such minor headache constitutes a certain amount of pain, so 5 such minor headaches constitutes five such pain contents, and in THAT sense, five times as much pain. Moreover, since there are 5 such minor headaches in each case (i.e. the 1 person case and the 5 people case), therefore, each case involves the same amount of pain. This is so even if 5 minor headaches all had by one person (i.e. the what-it’s-like-of-going-through-5-minor-headaches) is experientially different from 5 minor headaches spread across 5 people (5 experientially independent what-it’s-likes-of-going-through-1-minor-headache).
Analogously, a visual experience of the color orange constitutes a certain amount of orange-ish feel, so 5 such visual experiences constitutes 5 such orange-ish feels, and in THAT sense, 5 times as much orange-ish feel. If one person experienced 5 such visual experiences one right after another and we recorded these experiences on an “experience recorder” and did the same with 5 such visual experiences spread among 5 people (where they each have their visual experience one right after the other), and then we played back both recordings, the playbacks viewed from the point of view of the universe would be identical: if each visual experience was 1 minute long, then both playbacks would be 5 minutes long of the same content. In this straight forward sense, 5 such visual experiences had by one person involves just as much orange-ish feel as 5 such visual experiences spread among 5 people. This is so even if the what-it’s-like-of-going-through-5-such-visual-experiences is not experientially the same as 5 experientially independent what-it’s-likes-of-going-through-1-such-visual-experience.
Right? I assume this is what you have in mind.
I thus understand your alternative account or sense of ‘involves more pain than’. I can see how according to it, 5 minor headaches had by 1 person involves the same amount of pain as 5 minor headaches spread among 5 people.
But again, consider 5 minor headaches spread among 5 people vs 1 major headache. Here you claim that the 5 minor headaches involves more pain than 1 major headache, and I asked you to explain in what sense. Why did I do this? Because it is clearest here how your account fails to achieve what you think it can achieve.
So let’s carefully think about this for a second. Each minor headache constitutes a certain amount of pain—the amount of pain determined how shitty it feels in absolute terms. The same is true of the major headache. Since a major headache feels a lot shittier in absolute terms, we might use ‘6’ to represent the amount of pain it constitutes, and a ‘2’ to represent the amount of pain a single minor headache constitutes. IMPORTANTLY, both numbers—and the amount of pain they each represent—are determined by how shitty the major headache and the minor headache respectively FEEL. (Note: As I mentioned in an earlier reply, how shitty a pain episode feels is a function of both its intensity and duration).
Ok. Now, we have 5 experientially independent minor headaches. We have 5 such pain contents, and in THAT sense, 5 times as much pain. The duration of the playback would be 5 times as long compared to the playback of 1 minor headache.) Ok, but do we have something that we can appropriately call 10. Well, these numbers are meant to represent the amount of pain there is and we just said that the amount of pain is determined by how shitty something feels.
The question then is: Do 5 experientially independent minor headaches some how collectively constitute an amount of pain that feels like a 10. Clearly they don’t because only the what-it’s-like-of-going-through-5-minor-headaches can plausibly feel like a 10, and 5 experientially independent what-it’s-likes-of-going-through-1-minor-headache is not experientially the same as 1 what-it’s-like-of-going-through-5-minor-headaches.
You might reply that 5 experientially minor headaches collectively constitute a 10 in that each minor headache constitutes an amount of pain represented by 2 and there are 5 such headaches. In other words, the duration of the playback is 5 times as long. There is, in that sense, 5 times the amount of pain, which is 10.
Yes, there is 5 times the amount of pain in THAT sense, which is why I would agree that 5 minor headaches all had by one person involves just as much pain as 5 minor headaches spread among 5 people in THAT sense. BUT, notice that only the number 2 is experientially determined. The 5 is not. The 5 is the number of instances of the minor headaches. As a result, the number 10 is not experientially determined. So, the number 10 simply signifies a certain amount of pain (2) repeated 5 times. It does NOT signify an amount of pain that feels like a 10.
You might not disagree. You might ask, what is the problem here? The problem is that while you can compare a 10 and a 10 that are both determined in this non-purely experiential way, which in effect is what you do to get the result that 5 minor headaches had by one person involves just as much pain as 5 minor headaches spread among 5 people, you CANNOT compare a 10 and a 6 when the 10 is determined in this non-purely experiential way and the 6 is determined in a purely experiential way. For when the numbers are determined in different ways, they signify different things, and are thus incommensurate.
I can make the same point by talking in terms of pain, rather than in terms of numbers. When you say that 5 minor headaches all had by one person involves the same amount of pain as 5 minor headaches spread among 5 people, you are USING ‘amount of pain’ in a non-purely experiential sense. The amount of pain, so used, is determined by a certain amount of pain used in a purely experiential sense (i.e. an amount of pain determined by how shitty a minor headache feels) x how many minor headaches there are. While you can compare two amounts of pains, so used, with each other, you cannot compare an amount of pain, so used, with a certain amount of pain used in a purely experiential sense (i.e. an amount of pain determined by how shitty a major headache feels).
Of course, how many minor headaches there are will affect the amount of pain there is (used in a purely experiential sense) when the headaches all occur in one person. For 5 minor headaches all had by one person results in the what-it’s-like-of-going-through-5-minor-headaches, which feels shittier (i.e. is experentially worse) than a major headache and thus constitutes more pain than a major headache. Thus, when I say 5 minor headaches all had by one person involves an amount of pain that is more than the amount of pain of a major headache, I am using both “amount of pain” in a purely experiential sense. I am comparing apples to apples. But when you say that 5 minor headaches spread among 5 people involves an amount of pain that is more than the amount of pain of a major headache, you are using the former “amount of pain” in a non-purely experiential sense (the one I described in the previous paragraph) and the latter “amount of pain” in a purely experiential sense. You are comparing apples to oranges.
In this response, I’ve tried very hard to make clear why it is that even though your account of ‘involves more pain than’ can work for 5 minor headaches all had by one person vs 5 minor headaches spread across 5 people (and get the result you want: i.e. that the amount of pain in each case is the same), your account cannot work for 5 minor headaches spread across 5 people vs 1 major headache. Thus, your account cannot achieve what you think it can achieve.
I worry that I haven’t been as clear as I wish to be (despite my efforts), so if any part of it comes off unclear, I hope you can be as charitable as you can and make an effort to understand what I’m saying, even if you disagree with it.