Showing posts with label Emperors New Clothes. Show all posts
Showing posts with label Emperors New Clothes. Show all posts

Saturday, July 17, 2010

Cognitive Dissonance, Monty Hall, and the nature of science.

Back in 2007, a study attempted to apply the theory of Cognitive Dissonance to monkeys. It lead to a good number of comments, made the NY Times, and got a good amount of comments on Slashdot.

Once a monkey was observed to show an equal preference for three colors of M&M’s — say, red, blue and green — he was given a choice between two of them. If he chose red over blue, his preference changed and he downgraded blue. When he was subsequently given a choice between blue and green, it was no longer an even contest — he was now much more likely to reject the blue.

So a monkey was shown to eat M&Ms pretty much equally and not much care. But, when forced to make a choice between two different M&Ms say red and blue, the rejected M&M when placed against green would be rejected at greater than the expected 1/2 outcome and was rejected closer to 2/3rds of the time. Thus proving the theory that they must have needed to rationalize the rejection and therefore valued the given item less than previously. When offered another choice, they were much less likely to chose that M&M which they rationalized themselves into not wanting anyway. Much like the Aesop Fable of the Fox and the Grapes who after thinking about it and realizing the grapes were unreachable, decided that they were also unripe and bitter.

Why do I bring this silly story up? Well, it has to do with the Monty Hall riddle. By the way, if you noticed the problem with the study, mad kudos to you. If you want, try to stop reading and figure it out (if you're well versed on the Monty Hall Riddle).

Well, it turns out that the odds for the second choice aren't 1/2, they are actually 1/3rds for the rejected and 2/3rds for the other. If there's a preference hierarchy at all there are a total of 6 different ways to rank the M&Ms.

RGB, RBG, BGR, BRG, GRB, GBR

If you are asked which you'd prefer red vs blue and you take the red, there are three possible hierarchies which could exist.

RGB, RBG, GRB - These are the only times that red is better liked than blue. And in these when offered B vs G, we find that 2 rank green > blue:

RGB, GRB. So the odds really are 1/3 that they should accept the rejected M&M if we go by pure raw statistics. The Social Psychologists who ran the experiment as well as the slashdot thread about it, which had highly rated comments about color vision in monkeys and possible flaws in methodology, etc. But, they like generations of social psychologists failed to spot this mistake. However, the flaw in the study was noticed by an economist, Dr. Keith Chen who subsequently published a paper about the flaw and the series of similar flaws that are seen throughout the field of Cognitive Dissonance all the way back to the early studies in the 1950s. And that the paradigm of "Rank, Choice, Rank" is always going to skew things because the choice changes the odds, even without any rationalization at all the first choice means the odds for the second question are different.

In fact, this same research is still going on. Supposing that if you could make the choice arbitrary enough, that it should somehow prove the point, and still it holds that if you use any metric at all (in that you don't simply flip a coin, or that if given the first choice again would more often than not choose the same way), you will find that if given and choice and then made to "chose between the rejected object and a third similar object." -- anything will prefer the third similar object 2/3rds of the time and studies with amazing datapoints like: "Both children and monkeys preferred the third object" are moot and expected by random chance and statistics.

So, an economist without any formal training in Social Psychology, Psychology, Cognitive Dissonance, or the various fields thereof offered a rather stunning rebuttal that properly refuted a fair amount of research from the 1950s to the present, and is undoubtedly correct. An economist offered a scientific refutation and demolished literally thousands of studies as an outsider. Think about this next time you hear anybody claim that atheists should study religion before trying to refute it. Or that science is simply dogmatic. It really is possible for somebody from the sidelines to kick the wall and destroy an entire house of cards. Science loves this! It doesn't matter who you are, you could be a 11 year old girl disproving therapeutic touch, or a balloonist explaining geophysics. The right answer wins. Sometimes it takes a few decades, sometimes it doesn't, but if you have the right answer then everybody else be damned. This is the debunking spirit atheists are accused of applying to religion and being wrong to do so. But, really it doesn't work that way. It doesn't matter how many texts you have on the bristliness of God's beard, if he's fictional then he's fictional.

"Any man more right than his neighbor constitutes a majority of one already." - Henry David Thoreau.

It doesn't take much to overthrow lies, it takes one boy to point and laugh and say that "the Emperor has no clothes". This is the nature of not only science but of truth. Lies cannot take the heat and it only takes a gentle wind to collapse a house of cards, so why should atheists be told to not go around blowing at the cherished beliefs of others? Are we to value the belief as worth more than the truth? In reality this is exactly what we are told. And ultimately this is the bane of skepticism and the birth of dogma. If one believes that wanting something to be true, makes it one iota more likely, then that is the only step you need to take in the wrong direction and suddenly any belief becomes acceptable because we are inclined to accept it. Restricting ones beliefs to those which are true, demands that we discount a lot of nonsense the chief-most being religion.

Those who would give up Essential Truth to purchase a little Temporary Comfort, deserve neither Truth nor Comfort.

Sunday, December 6, 2009

A modicum of thought. A parable of cards.

Imagine you are a member of a group of about ten people and everybody is given a card which is placed on their head so that they can see the card. These cards are going to have at most one black card and all the rest of the cards are white. The object of the game is to find the black card. When you do, you will be given a trillion dollars. If you choose the wrong card, you're out one dollar. If it's your card, you need to wait until the attending people return.

Now, everybody is been given their card. The big reveal! Everybody sits looking around the room, at everybody else's cards. You notice that everybody else's card is white. So then your card must be the black card! What luck! You barely give up anything if you guess wrong and if you guess right you get a trillion dollars. And you can rule out everybody else's card so, aren't you that much more likely to be correct? I mean they can't rule out the card on their head but you can! Why aren't they choosing your black card then? Shouldn't it be obvious that you're is the correct card? Shouldn't they have chosen by now? Isn't the fact nobody is choosing your card evidence that your card isn't the correct card? Why should it be your card, I mean it's not like you chose it, it was chosen for you. You ponder these doubts for a while, shoving them down each time they rear their head. It's a trillion dollars after all!

Isn't there at least a one in a trillion shot chance that everybody else at the table is blind and can't see a black card plain as day? Then aren't you losing nothing by choosing your own card. I mean, if you chose correctly you get a trillion dollars and if you choose wrongly, you'll have to clock out five minutes later when you go to work next Sunday. I mean, you've got everything to gain and nothing to lose.

One person at the table starts shouting: "None of the cards are black. You would have chosen by now. If somebody had the right card, everybody else would have thrown their cards to the ground by now. We've been sitting at this table for millennium!"

"What a blind moron!", you think to yourself. He doesn't see your card is clearly black.

Another person at the table chimes in, "You're wrong sir, my card is clearly black. I know that it must be the black card because all of your cards are white."

You can see his card is white, but you've liked what he's said to this presumptuous rabblerouser.

"Here-Here!" another man shouts.

"You can't see the black card unless you have the black card!" shouts a third man.

A Hah! That's clearly the case. That explains everything! That's why these people can't see your card is black! You can taste that money now. You didn't hear that as a rule, but it would explain the situation perfectly. I mean, what's the purpose of all of this if none of the cards are black? Wouldn't it be terrible if nobody got the trillion dollars!

Why is this brash, rude, arrogant man doing attacking you. You don't have to take this, you're a flipping trillionaire. Mentally you already have this money spent. This jackass wants to steal your constellation of castles, your bevy of beauties, your silo of gems. This wicked, evil, know-it-all wants to remove from the mouths of the hungry the charitable donations you'll make, he wants people to suffer the diseases you'd cure with that funding, he wants you poor and miserable. He wants to take away your hope. He want's to deprive you of your purpose.

Why is he maligning you in such a terrible way? Why doesn't he see that your card is the correct one and just collect the money? Does he hate your card or the money? Did somebody hurt him? Doesn't he know you can't see the card unless you have the card? What a deluded fool! These other men, though, they have white cards are ripping into this fool for being such a deluded brute who knows nothing of the secret rules of the game... good on them! They maybe wrong and will probably end up without any money if they don't choose your card soon, but they at least know how to put such an intolerant know-it-all in his place.

"Why would you get a trillion dollars for picking a card?", the inept blowhard asks quizzically? "What evidence do we have that there's any money at all!" "Where's the evidence? I mean we're in a pretty run down building, is this the kind of place people have when they trillion dollars laying around?"

"Shut-up", a young woman shouts! "Clearly they saved a lot of money in order to have the trillion dollars to give us, they love us that much."

"Yeah!", the rest agree.

The arrogant man, finally gives up, he throws his white card to the ground and leaves to room to go home and spend time with his family. What a fool, he was a few feet from a trillion dollars. The fool says in his heart, there's no black card. What an idiot!

When you finally get to see your card, what color do you think it'll be? Should you choose your card? I mean it is a trillion dollars after all!

Thursday, January 24, 2008

The Emperors New Clothes

Did anybody ever notice that in the Emperors New Clothes that if the Emperor had wanted to turn down the cloths, he could have just done so on the grounds of not wanting incompetent people to see him naked?

Also, in the Boy Who Cried Wolf, shouldn't the towns people be blamed. They put a kid in charge in whom they had no confidence. What's the point of the guard if he actually sees a wolf you won't believe him?

*shrug*