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Defining value is the same problem as creating a set of ranked preferences on reachable world states (rather than candidates). You agree with this in your third
by yummyfajitas 12y ago
Defining value is the same problem as creating a set of ranked preferences on reachable world states (rather than candidates). You agree with this in your third sentence - a ranked preference implies a utility function exists and vice versa (provided the set of states is countable).
Arrow's Theorem says that you can't construct a set of ranked preferences from individual utility functions in a reasonable way. Throwing in extra assumptions (like cardinal preferences) allows you to do so. But if you scroll up, you'll see that Retra was arguing against a price-based (i.e. cardinal) construction.
I claim that if Retra ever actually bothers to write down his definition of value to society it will be unreasonable. But given his unwillingness so far, I think he's just using "value to society" as a meaningless feel-good phrase to justify whatever policy he likes.
The easiest way to prove me wrong would be to actually clearly state your definition of "value to society". Strangely, no one is willing to do that.
- Retra 12y ago"What is valuable to a society is not some specific state, but the ability to rapidly converge to better states as more information is obtained." Right from my other post. It is flexible decision-making capability. You simply get to the "top of the hill" because from there you can move most readily to any other place should you learn it is a better place to be.
- yummyfajitas 12y agoI'm asking you how you define "better". All you've told me is that it's good to be able to get there more quickly, which is almost tautological.
- Retra 12y agoNo, that is not what you were asking. I'd have been glad to answer that for you, but it really has little to do with my point. Regardless, I don't think your attitude indicates that it would be worth my time to explain. I'm not going to write an academic paper for your convenience. >All you've told me is that it's good to be able to get there more quickly, which is almost tautological. http://en.wikipedia.org/wiki/Recursive_definition http://en.wikipedia.org/wiki/Recursive_definition
- SamReidHughes 12y agoArrow's Theorem is irrelevant because you don't need to have a way of voting for some group preference that meets its criteria in order to have an approximate notion of what "value to society" means. Formulating a precise definition of "value to society" is irrelevant to the discussion. Gosh, maybe it means there's benefit to people other than the direct recipient of the education! Because, you know, if you look at the way people use that phrase, that's what they use it to mean. > But if you scroll up, you'll see that Retra was arguing against a price-based (i.e. cardinal) construction. Price people are paying is not the same thing as "utility", good job misreading Retra's comment.