Suppose I told you that I knew for a fact that the following statements were true:
- If you paint yourself a certain exact color between blue and green, it will reverse the force of gravity on you and cause you to fall upward.
- In the future, the sky will be filled by billions of floating black spheres. Each sphere will be larger than all the zeppelins that have ever existed put together. If you offer a sphere money, it will lower a male prostitute out of the sky on a bungee cord.
- Your grandchildren will think it is not just foolish, but evil, to put thieves in jail instead of spanking them.
You’d think I was crazy, right?
Now suppose it were the year 1901, and you had to choose between believing those statements I have just offered, and believing statements like the following:
- There is an absolute speed limit on how fast two objects can seem to be traveling relative to each other, which is exactly 670,616,629.2 miles per hour. If you hop on board a train going almost this fast and fire a gun out the window, the fundamental units of length change around, so it looks to you like the bullet is speeding ahead of you, but other people see something different. Oh, and time changes around too.
- In the future, there will be a superconnected global network of billions of adding machines, each one of which has more power than all pre-1901 adding machines put together. One of the primary uses of this network will be to transport moving pictures of lesbian sex by pretending they are made out of numbers.
- Your grandchildren will think it is not just foolish, but evil, to say that someone should not be President of the United States because she is black.
Based on a comment of Robin Hanson’s: “I wonder if one could describe in enough detail a fictional story of an alternative reality, a reality that our ancestors could not distinguish from the truth, in order to make it very clear how surprising the truth turned out to be.”1
In previous research I found this one, brought by white firefighters protesting the affirmative action policies in Chicago, and while I recall a second I'm on a different computer and so can't easily check my history.
But I don't think that case makes the point you want it to make. It does not disapprove of hiring by lottery- indeed, the remedy involves selecting which African Americans (but not white or other races!) who scored between 65 and 88 (who are still interested) will get the available jobs by lottery- they just think that the city did not put the passing score bar low enough, and the standard they used to determine what was "low enough" was the disparate impact standard, not any sort of job performance criterion.
[Edit]: I should clarify that, again, the court's decision is made with the presumption that tests are guilty until proven innocent, and so when the decision says "the test was biased" or "there was no evidence that the test was necessary," they do not mean that "there is evidence that the test was biased" or "there was evidence that the test was not necessary," they just mean "there was not sufficient presented evidence that the test was necessary."
I think I've disproven the factual basis you gave for your speculation: the real standard is orthogonal to your cutoff-with-lottery versus rank-by-test-scores.
And it's now 80 karma paperclips. Do you know how ridiculous this looks, how badly Less Wrong is breaking its own rules of conversation?