It turns out that even very young children reason [using Bayes Theorem]. For example, my student Tamar Kushnir, now at Cornell, and I showed 4-year-olds a toy and told them that blocks made it light up. Then we gave the kids a block and asked them how to make the toy light up. Almost all the children said you should put the block on the toy—they thought, sensibly, that touching the toy with the block was very likely to make it light up. That hypothesis had a high “prior.”
Then we showed 4-year-olds that when you put a block right on the toy it did indeed make it light up, but it did so only two out of six times. But when you waved a block over the top of the toy, it lit up two out of three times. Then we just asked the kids to make the toy light up.
The children adjusted their hypotheses appropriately when they saw the statistical data, just like good Bayesians—they were now more likely to wave the block over the toy, and you could precisely predict how often they did so. What’s more, even though both blocks made the machine light up twice, the 4-year-olds, only just learning to add, could unconsciously calculate that two out of three is more probable than two out of six. (In a current study, my colleagues and I have found that even 24-month-olds can do the same).
There also seems to be a reference to the Singularity Institute:
The Bayesian idea is simple, but it turns out to be very powerful. It’s so powerful, in fact, that computer scientists are using it to design intelligent learning machines, and more and more psychologists think that it might explain human intelligence.
(Of course, I don't know how many other AI researchers are using Bayes Theorem, so the author also might not have the SI in mind)
If children really are natural Bayesians, then why and how do you think we change?
Comments sorted by top scores.
comment by daenerys ·
2012-10-11T22:05:42.681Z · LW(p) · GW(p)
It seems my model of LessWrong is somehow broken, and so I want to know why--
The OP is at -3. Why is that? (note: I am not the OP). The article is relevant, and not a re-post, and contains both a link AND a synopsis. The only reason I can think of is either people thought it should go in Open (and didn't leave a comment to say that). I think the article is not controversial enough, too old, and too downvoted for it to merely be the initial downvote wave that posts sometimes get.
Anyways, my expectations would have been that the post is in the low positive numbers. A -3 punches my expectations in the face and insults my expectation's mother. So now I'm curious. Ideas?
Replies from: Oscar_Cunningham, TheOtherDave
↑ comment by Oscar_Cunningham ·
2012-10-11T22:43:50.493Z · LW(p) · GW(p)
I'm pretty sure that the -3 is just the initial downvote wave; it'll climb back up to ~2 during the next 24hrs. Of course the fact that this discussion is in the comments might affect things.
I am part of the "initial downvote wave". I downvoted the post because although the "Bayesian" hypothesis might be interesting to LessWrong, the academic articles linked to from the Slate article didn't really support it., the Slate article was just written by some researcher trying to push their own research angle, and the LW post didn't do any further analysis.
My advice when linking to something like this is to link directly to the academic paper and to draw your summary directly from the abstract of the paper, so that you don't misrepresent what the paper claims. Popular science pieces normally write whatever they feel like and then link to a couple of vaguely related papers, so they can't be trusted at all.
Replies from: Morendil
↑ comment by Morendil ·
2012-10-12T06:24:46.312Z · LW(p) · GW(p)
My advice when linking to something like this is to link directly to the academic paper and to draw your summary directly from the abstract of the paper, so that you don't misrepresent what the paper claims.
↑ comment by TheOtherDave ·
2012-10-11T22:17:22.719Z · LW(p) · GW(p)
I observe that there are also three reasonably highly upvoted comments critical of the OP.
Replies from: daenerys, AlexSchell
My working theory is that the post was downvoted for reasons similar to those listed in those comments.
Perhaps even by the commenters themselves.
↑ comment by daenerys ·
2012-10-11T22:40:20.485Z · LW(p) · GW(p)
Ah, thank you. I could have sworn that I read the comments, trying to see if they mentioned why the downvotes. But I must have been too scan-y, because that didn't even click until you posted the explanation. Brains work weird.
I'm retracting the OC.