Alicorn comments on Why Are Individual IQ Differences OK? - Less Wrong
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I think you're lying.
Indeed. At the usual standard deviation norm of ~15, a 220 IQ would be 8 standard deviations out and make him ~1 in 8*10^14 (100 trillion).
Inasmuch as only 100 billion humans are estimated to have ever lived, the overwhelming majority of that having an average IQ far lower than 100 and so being essentially irrelevant, we can conclude that he is either lying or from the future.
220+ IQ scores DO happen - due to the fact that IQ tests cannot be made accurate for such an uncommon group of people, they're far more common than they're mathematically supposed to be. A collection of research on that can be found online right here:
http://hiqnews.megafoundation.org/Terman_Summary.htm
I've actually talked with people in that IQ vicinity, and based on the absolutely sublime intelligent conversation they're capable of providing, and considering the likelihood of specifically them being dishonest about that within the context of their other behaviors, I just don't think they're lying.
Superintelligent people do exist. And they have to actually BE somewhere, right? Where do they go?
Do you think that none of them would be attracted to a website like LessWrong? I think this site is likely to be a genius magnet.
If it turns out that this person's IQ really is over 220, I totally want to have intelligent conversation with them. If you give people the benefit of the doubt in situations like this, sometimes the result is more than worth the effort to withhold judgment for a while.
P.S. Yes, I realize the claim is that it was estimated at over 220, not that they received that score. The obvious argument here is "What professional would estimate it that high knowing how rare those scores are SUPPOSED to be?" but if you're not basing your estimation on observations about people who have received that score, all you are left with is attempting to deduce the characteristics of a person with such an IQ out of the numbers themselves, with no actual experience to base it on. Or, this person may be referring to the practice of adjusting a young child's IQ score upward in order to reflect the age at which they took the test. For instance, if you are 2 years old and get an IQ of 100 on an IQ test, that's really incredible. You definitely have to give that kid a higher score than 100. The only way I know of to get a score in the 200 ballpark is to have that sort of age adjustment done after taking the test with the highest limit before a certain age.
And that's a limitation of the tests being ratio tests or not being normed on the sufficiently large population they're supposed to be normed on. (Why are all the datapoints on that page so old?) That's why modern IQ tests come with listed ceilings! 'Past this point, who knows what it's measuring if anything'. With a short test, even random guessing will eventually throw up some remarkable scores...
Perfectly consistent with them having more earthly IQs >140. (If even that; I have been reading up on psychopathy lately, and one of the diagnosable traits is being gifted conversationalists and creators of emotional 'bonds', despite psychopathy being, if correlated with IQ at all, negatively correlated.)
IQ is defined to be a normal distribution with mu = 100 and sigma = 15, so “IQ 220” means ‘99.9999999999999th percentile¹’; if more than a person in 10^15 gets such a score, then the test is miscalibrated. (But most tests are, beyond a few standard deviations away from the mean.)
pr norm(8)in gnuplot and moved the decimal point.