I think that the Torture versus Dust Specks "paradox" was invented to show how utilitarianism (or whatever we're calling it) can lead to on-face preposterous conclusions whenever the utility numbers get big enough. And I think that the intent was for everybody to accept this, and shut up and calculate.
However, for me, and I suspect some others, Torture versus Dust Specks and also Pascal's Mugging have implied something rather different: that utilitarianism (or whatever we're calling it) doesn't work correctly when the numbers get too big.
The idea that multiplying suffering by the number of sufferers yields a correct and valid total-suffering value is not fundamental truth, it is just a naive extrapolation of our intuitions that should help guide our decisions.
Let's consider a Modified Torture versus Specks scenario: You are given the same choice as in the canonical problem, except you are also given the opportunity to collect polling data from every single one of the 3^^^3 individuals before you make your decision. You formulate the following queries:
"Would you rather experience the mild distraction of a dust speck in your eye, or allow someone else to be tortured for fifty years?"
"Would you rather be tortured for fifty years, or have someone else experience the mild discomfort of a dust speck in their eye?"
You do not mention, in either query, that you are being faced by the Torture versus Specks dilemma. You are only allowing the 3^^^3 to consider themselves and one hypothetical other.
You get the polling results back instantly. (Let's make things simple and assume we live in a universe without clinical psychopathy.) The vast majority of respondents have chosen the "obviously correct" option.
Now you have to make your decisions knowing that the entire universe totally wouldn't mind having dust specks in exchange for preventing suffering for one other person. If that doesn't change your decision ... something is wrong. I'm not saying something is wrong with the decision so much as something is wrong with your decision theory.
I'm not entirely convinced by the rest of your argument, but
The idea that multiplying suffering by the number of sufferers yields a correct and valid total-suffering value is not fundamental truth, it is just a naive extrapolation of our intuitions that should help guide our decisions.
Is, far and away, the most intelligent thing I have ever seen anyone write on this damn paradox.
Come on, people. The fact that naive preference utilitarianism gives us torture rather than dust specks is not some result we have to live with, it's an indication that the decisi...
The device allows for certain issues like slavery and income distribution to be determined beforehand. Would one vote for a society in which there is a chance of severe misfortune, but greater total utility? e.g, a world where 1% earn $1 a day and 99% earn $1,000,000 vs. a world where everyone earns $900,000 a day. Assume that dollars are utilons and they are linear (2 dollars indeed gives twice as much utility). What is the obvious answer? Bob chooses $900,000 a day for everyone.
But Bob is clever and he does not trust himself that his choice is the rational choice, so he goes into self-dialogue to investigate:
In the insurance industry, purchasing insurance comes with a price. Perhaps 1.5% premium of the cost of reimbursing you for your house that may burn down. The actuaries have run the probabilities and determine that you have a 1% chance that your house will burn down. Assume that all dollar amounts are utilons across all assets. Bob once again is a rational man. Every year Bob is chooses to pay 1.5% in premium even though his average risk is technically a 1% loss, because Bob is risk adverse. So risk adverse that he prefers a world in which he has less wealth, the .5% went to the insurance companies making a profit. Once again Bob questions his rationality on purchasing insurance:
Eliezer's post on Torture vs. Dust Specks [Here] has generated lots of discussion as well as what Eliezer describes as interesting [ways] of [avoiding] the question. We will do no sort of thing in this post, we will answer the question as intended; I will interpret that eye specks is cumulatively greater suffering than the suffering of 50 years.
My PVG tells me that I would rather have a speck in my eye, as well as the eye's of 3^^^3 people, than to risk to have one (perhaps me) suffer torture for 50 years, even though my risk is only 1/(3^^^3) which is a lot less than 50 years (Veil of ignorance). My PVG is what I will maximize, and doing so is the definition of instrumental rationality.
In short, the rational answer is not TORTURE or SPECKS, but depends on what your preference, values and goals are. You may be one of those whose preference is to let that one person feel torture for 50 years, as long as your actions that steer the future toward outcomes ranked higher in your preferences, you are right too.
Correct me if I am wrong but I thought rationality did not imply that there were absolute rational preferences, but rather rational ways to achieve your preferences...
I want to emphasize that in no way did I intend for this post to declare anything. And want to thank everyone in advance for picking apart every single word I have written. Being wrong is like winning the lottery. I do not claim to know anything, the assertive manner in which I wrote this post was merely a way to convey my ideas, of which, I am not sure off.