Comment author: kendoka 22 April 2012 06:19:23PM 7 points [-]

that's why grocery stores design their floor layouts so that you can't help but notice the delicious rows of candy bars while you're trapped in the checkout line. no escape!

I could make similar comparisons to when my morally upright conservative parents were genuinely shocked and exasperated at their sex-starved son when he's constantly surrounded by flirtatious nubile catholic school girls in short skirts all day every day.

"Lord Grant me Temperance and Chastity... but not yet! " St. Augustine of Hippo

Comment author: Martin-2 04 March 2013 12:14:38AM 5 points [-]

that's why grocery stores design their floor layouts so that you can't help but notice the delicious rows of candy bars while you're trapped in the checkout line. no escape!

In theory your escape would be a competing supermarket that hides their candy bars to attract your business.

Comment author: XiXiDu 04 June 2010 09:55:03AM 1 point [-]

Why would you need more than plain English to intuitively grasp Monty-Hall-type problems?

Take the original Monty Hall 'Dilemma'. Just imagine there are two candidates, A and B. A and B both choose the same door. After the moderator picked one door A always stays with his first choice, B always changes his choice to the remaining third door. Now imagine you run this experiment 999 times. What will happen? Because A always stays with his initial choice, he will win 333 cars. But where are the remaining 666 cars? Of course B won them!

Or conduct the experiment with 100 doors. Now let’s say the candidate picks door 8. By rule of the game the moderator now has to open 98 of the remaining 99 doors behind which there is no car. Afterwards there is only one door left besides door 8 that the candidate has chosen. Obviously you would change your decision now! The same should be the case with only 3 doors!

There really is no problem here. You don’t need to simulate this. Your chance of picking the car first time is 1/3 but your chance of choosing a door with a goat behind it, at the beginning, is 2/3. Thus on average, 2/3 of times that you are playing this game you’ll pick a goat at first go. That also means that 2/3 of times that you are playing this game, and by definition pick a goat, the moderator will have to pick the only remaining goat. Because given the laws of the game the moderator knows where the car is and is only allowed to open a door with a goat in it. What does that mean? That on average, at first go, you pick a goat 2/3 of the time and hence the moderator is forced to pick the remaining goat 2/3 of the time. That means 2/3 of the time there is no goat left, only the car is left behind the remaining door. Therefore 2/3 of the time the remaining door has the car.

I don't need fancy visuals or even formulas for this. Do you really?

Comment author: Martin-2 14 February 2013 04:32:33AM *  0 points [-]

Although it's late, I'd like to say that XiXiDu's approach deserves more credit and I think it would have helped me back when I didn't understand this problem. Eliezer's Bayes' Theorem post cites the percentage of doctors who get the breast cancer problem right when it's presented in different but mathematically equivalent forms. The doctors (and I) had an easier time when the problem was presented with quantities (100 out of 10,000 women) than with explicit probabilities (1% of women).

Likewise, thinking about a large number of trials can make the notion of probability easier to visualize in the Monty Hall problem. That's because running those trials and counting your winnings looks like something. The percent chance of winning once does not look like anything. Introducing the competitor was also a great touch since now the cars I don't win are easy to visualize too; that smug bastard has them!

Or you know what? Maybe none of that visualization stuff mattered. Maybe the key sentence is "[Candidate] A always stays with his first choice". If you commit to a certain door then you might as well wear a blindfold from that point forward. Then Monty can open all 3 doors if he likes and it won't bring your chances any closer to 1/2.

Comment author: simplicio 04 February 2013 11:35:34PM 18 points [-]

You can't reason someone out of a position they didn't reason themselves into.

I don't think this is empirically true, though. Suppose I believe strongly that violent crime rates are soaring in my country (Canada), largely because I hear people talking about "crime being on the rise" all the time, and because I hear about murders on the news. I did not reason myself into this position, in other words.

Then you show me some statistics, and I change my mind.

In general, I think a supermajority of our starting opinions (priors, essentially) are held for reasons that would not pass muster as 'rational,' even if we were being generous with that word. This is partly because we have to internalize a lot of things in our youth and we can't afford to vet everything our parents/friends/culture say to us. But the epistemic justification for the starting opinions may be terrible, and yet that doesn't mean we're incapable of having our minds changed.

Comment author: Martin-2 14 February 2013 12:58:04AM 0 points [-]

Suppose I believe strongly that violent crime rates are soaring in my country (Canada), largely because I hear people talking about "crime being on the rise" all the time, and because I hear about murders on the news. I did not reason myself into this position, in other words.

It looks to me like you arrived at this position via weighing the available evidence. In other words, you reasoned yourself into it. Upon second reading I see you don't have a base rate for the amount of violent crime on the news in peaceful countries, and you derived a high absolute level from a high[er than you'd like] rate of change. But you've shown a willingness to reason, even if you reasoned poorly (as poorly as me when I'm not careful. Scary!) So I think jooyus' quote survives.

Comment author: Bugmaster 15 March 2012 08:33:10PM 14 points [-]

Did anyone reading this initially get the impression that Less Wrong was cultish when they first discovered it?

What do you mean, "initially" ? I am still getting that impression ! For example, just count the number of times Eliezer (who appears to only have a single name, like Prince or Jesus) is mentioned in the other comments on this post. And he's usually mentioned in the context of, "As Eliezer says...", as though the mere fact that it is Eliezer who says these things was enough.

The obvious counter-argument to the above is, "I like the things Eliezer says because they make sense, not because I worship him personally", but... well... that's what one would expect a cultist to say, no ?

Less Wrongers also seem to have their own vocabulary ("taboo that term or risk becoming mind-killed, which would be un-Bayesian"). We spend a lot of time worrying about doomsday events that most people would consider science-fictional (at best). We also cultivate a vaguely menacing air of superiority, as we talk about uplifting the ignorant masses by spreading our doctrine of rationality. As far as warning signs go, we've got it covered...

Comment author: Martin-2 21 October 2012 07:33:28AM 0 points [-]

Eliezer (who appears to only have a single name, like Prince or Jesus)

Mr. Jesus H. Christ is a bad example. Also there's this.

Comment author: Martin-2 16 August 2012 08:11:10PM 1 point [-]

I presume Rokia was able to buy a hybrid and some prime real estate after all this.

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