People would assume that you probably have an IQ in the gifted range if you tell them that you read LW. In this case, everyone has an incentive to fudge the numbers.
Ok, now here is a motive! I still find it difficult to believe that:
Most of 1000 people care so much about status that they're willing to prioritize it over truth, especially since this is LessWrong where we gather around the theme of rationality. If there's anyplace you'd think it would be unlikely to find a lot of people lying about things on a survey, it's here.
The people who take the survey know that their IQ contribution is going to be watered down by the 1000 other people taking the survey. Unless they have collaborated by PM and have made a pact to fudge their IQ test figures, these frequently math oriented people must know that fudging their IQ figure is going to have very, very little impact on the average that Yvain calculates. I do not know why they'd see the extra work as worthwhile considering the expected amount of impact. Thinking that fudging only one of the IQs is going to be worthwhile is essentially falling for a Pascal's mugging.
Registration at LessWrong is free and it's not exclusive. At all. How likely is it, do you think, that this group of rationality-loving people has reasoned that claiming to have joined a group that anybody can join is a good way to brag about their awesomeness?
I suppose you can argue that people who have karma on their accounts can point to that and say "I got karma in a gifted group" but lurkers don't have that incentive. All lurkers can say is "I read LessWrong." but that is harder to prove and even less meaningful than "I joined LessWrong".
Putting the numbers where our mouths are:
If the average IQ for lurkers / people with low karma on LessWrong is pretty close to the average IQ for posters and/or people with karma on LessWrong, would you say that the likelihood of post-making/karma-bearing LessWrongers lying on the survey in order to increase other's status perceptions of them is pretty low?
Do you want to get these numbers? I'll probably get them later if you don't, but I have a pile of LW messages and a bunch of projects going on right now so there will be a delay and a chance that I completely forget.
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The philosophical problem has always been he apparent arbitrariness of the rules. You can say that "meaningful" sentences are empircially verifiable ones. But why should anyone believe that? The sentence "the only meaningful sentences are the empircially verifiable ones" isn't obviously empirically verifiable. You have over-valued clarity and under-valued plausibility.
Clarity cannot be over-valued; plausibility, however, can be under-valued.