Forsher wrote:A-Series-Of-Tubes wrote:
Every woman should be prioritized over every man (assuming all women are fertile, but never mind), because they MIGHT be pregnant.
This is how expected values work. In the basic set up, we take the probability of a value times that value, repeat for all values and associated probabilities and then sum. So, if we've got P(X = 1) = 1, for X= 1, we get 1. All other values have 0 probability so the expected lives is 1.
For a woman we assume is of childbearing age, our situation is:
P(X = 1) * 1 + P(X = 2) * 2 + P(X = 3) * 3 + ...A "multi-life combo" could be more simply called "two lives".
No, it cannot.
Because you're attached to this jargon which sounds like a Macca's option?
If you want to refute my claim, you can only do so by defining a "multi-life combo".
Though I'll grant you it is late, and probably we're both tired.
To further the discussion, I'll just pretend that a child's life being worth more than an adult's life, can be seamlessly extended to a fetus's life also being worth at least one whole life. I do not like it,
In principle, this is accommodated within the probability in the first place. We're not evaluating the chance that an arbitrary woman identified to be of childbearing age is, say, currently "cooking" two embroyos/zygotes/foetuses in the womb. We're evaluating the probability that such a woman will carry two children to term, who both survive birth given that woman's present characteristics.
You'd better stop there, before you prove that every female who might give birth some day, has infinitely more value than any male who might play his part in raising a child to breeding age.
It really looks to me like you're carrying the reasoning of each point just so far, before you realize that you're making a reductio ad absurdum of your own point. Are you leaving the finishing touches to me, as some kind of test?
I avoid the regression because it distracts from the essential premise of multi-life combos. The way I've written it here, for example, seems gender neutral but that's due to the limits of my words and my desire to not use a regression modelling the P(X = x)s.
Is it possible that "multi-life combos" is a previously defined term from actuarial science?
Maybe that's the problem. Maybe you're relying on some base of theory I've never heard of, and I made the silly mistake of thinking you are relying on something you thought up while staring dejectedly at a hamburger, and pondering why your appetite has evaporated.
I will stop teasing you soon. There is a genuine chance it's a properly defined term and I'll look like an idiot for not bothering to google it.
But here's where you make the most critical error. One or more women know they are pregnant, therefore to be fair ALL the women must be treated as double lives. How can you possibly present that as fair, when it favors the whole class of women for characteristics you only have reason to believe a few of them have?
No, that's the point. You can't identify who and is and isn't pregnant, you cannot identify who will and will not have successful births and you cannot believe what anyone tells you... and nor should you be wasting time. Basically, the logic is that every single woman that the crew believe could bear children gets to free ride off the possibility that they can be a multi-life combo. It's just a simple free rider problem, is all.
Suppose an accident had disabled so many lifeboats, that you didn't have enough places even for all the children. Girls, of whatever age, would have to go first, because 15 years from now they might play the indispensable role in creating a new person.
Boys however, are dispensable in the reproduction process. This is well known.
Nope. I'll let you favor the remaining women (after the known pregnant ones have been let on the boat), but only a bit. Not absolutely.
OK, as the captain you may have good numbers for how many women fall pregnant, per day, on a ship your size. Let's say in fact, on your own ship which you've captained many times (not the Titanic obviously). But if you don't, I would say to count the number of known pregnant women, and make that the number of "extra" women you're going to rig your lottery to pick.
Look, it'd make for a great dystopian sci fi... perhaps a plot point on Avenue Five or Black Mirror... to have cruise members be given armbands which have their expected lives stuck on them, but I don't make the assumption that the crew has made these calculations before the accident. I make the assumptions that (a) the captain gives orders to follow this utilitarian principle and (b) the crew members who operate that order have to make decisions on the fly.
Wait, I missed (a)? How did I miss this?
Captain: First Mate, I am busy at the helm of this stationary sinking ship. I am delegating to you the responsibility of maintaining order and seeing that the maximum number of passengers are seated safely on the lifeboats. Which as you know, are insufficient for all the passengers.
First Mate: Thankyou, thankyou for this grave responsibility sir. Permission to refuse?
Captain: Refused. You will conduct the filling of the lifeboats.
First Mate: What ... criteria should I ... employ, to choose between the passengers? Sir?
Captain: Apply the Utilitarian Principle, just like you learned in officer school. There will be no further orders. Do it now.
First Mate: *leaving* (mutters) Yes sir, Captain Ahab sir.
It's a simple free-rider problem. YEAH. The fact that your method suffers from a really stark free-rider problem, doesn't bother you at all?
When your calculations lead to the conclusion that a woman's life is always worth more than a man's life, then you've made some basic assumption error early in the process. Perhaps you failed to properly account for what "fair" should mean, or you've deliberately ignored the possibility a foetus's life can't be put on the same scale since it lacks value-for-itself and has only such value as the host woman puts on it?
Yeah, I think that's it. A foetus that the woman is not even aware exists, has some value the Captain should account for. EDIT: Looking more closely, it's a foetus that actually doesn't exist that the Captain (or delegated officer) should be taking into account. This is so weird, I don't think I've heard it even from a pro-life "foetuses are literally God" type.
I notice now that you did sort of consider it, but wriggled around it with "women might lie" so let's apply your own logic to that. Sure they might. If it was me, I think I probably would. But because women might lie, we can treat all women claiming without obvious evidence to be pregnant, as liars. We have all the pregnant ones on the boat, and all the women still on the ship can be fairly treated as Not Pregnant. Only I wouldn't use that line of argument myself, it has that 'trying to balance a bicycle which has no wheels' feel to it.
I will make one compromise though. Before making the final list, I would call on all the women to declare if they like, that they are not pregnant (or if they're not sure but don't care), and that they don't want the privilege afforded to women by the default rule. If possible this would be done by a secret ballot, though if there's not time for that I guess "all women who do not wish to claim the benefit-of-the-doubt privilege ahead of the men, please make your way to the stern side of the crowd".
I have enough faith in human nature, to think giving the option to be treated exactly like the men are, to the women, will substantially cut into your "free rider problem".
What I would not do, is announce that because all the childbearing age or younger women could possibly make a greater contribution to the human race in the future, they will all go ahead of the men. I just can't see anything good coming of that.