Tuesday, September 25, 2012

Why Cheaters Never Prosper

Today’s puzzle was created by the cognitive psychologist, Peter Wason, back in the 1960’s.  The test is usually referred to as the four-card task.  It was developed to test our logical reasoning, but by adding a second part to the test, evolutionary philosophers, think they have found an interesting ability, that our mind has, to catch cheaters in our society.

For you to see the total effect of the test, you need to follow the puzzle step-by-step, and not read ahead until you finish the previous part.

The test goes something like this;

Part 1.  All four cards in the first group bellow have a letter on one side and a number on the other.  If the rule states that;

 "If a card has a vowel on one side, then it has an even number on the other side."

Which two, and only two, cards do you need to turn over to find out if the rule is true?

 AD47


 Now that you've had a chance to think about the problem, the correct answer is to select the "A" and "7" cards. If you didn’t guess the correct answer, don’t feel bad. About 90% of people miss this question. Most people get it wrong by selecting the "A" and "4". The reason the "7" card needs to be turned over is because, if there is a vowel on the other side, the rule would be false. On the other hand, regardless of whether there is a vowel or consonant on the other side of the "4" card, it doesn't help to confirm or deny the statement. Remember the rule states that, if a card has a vowel on one side, then it has an even number on the other side, but does not say the opposite, if there is an even number on one side then there is a vowel on the other side.


Part 2. If you didn't get the previous problem correct, try the following one: Each card contains a person's age on one side, and what the person is drinking on the other side. Now, pretend you are the bartender. Which two cards would you need to turn over to verify this rule;
 
-->
"If a person is drinking a beer, then that person needs to be at least 21 years of age"
 
-->
 drinking a beer drinking a coke 22 years old 16 years old



You probably figured out that you need to flip over the "beer" card and the "16 years old" card. Now take a minute to notice that this problem is the exact same problem as part 1, only with alcoholic beverages replacing vowels, non-alcoholic ones replacing consonants, overage ages replacing even numbers, and underage ages replacing odd numbers. Why do you think people who are not able to solve the previous problem, or at least take more time to solve it, are able to get this one not only correct, but without much thought? Most likely, the explanation is the one given by many evolutionary philosophers. I’m just going to paraphrase some of their main points;
Because our brains are a product of evolution, and the theory that part of our evolution took place while humans have lived in groups and societies, it would be advantageous for us and our genes, if we had evolved the capabilities to deceive and cheat the others in our group, thus being able to get a bigger portion of the necessities needed for survival.  It would also then be advantageous to have an evolved “cheating detector,” thus insuring that we and our families get a fair share of the necessities. These philosophers believe that, because of group and intergroup interactions, we have evolved the ability to easily detect those that are lying and cheating, thus being able to protect ourselves. That's why in part 2, it is relatively easy to tell who at the bar might be lying. 

Remember, this is just a theory. There have been other hypotheses as to why we seem able to figure out part 2, but not part 1.
 I would love to hear from anyone who disagrees with this theory, or, anyone that would like to make a comment.

5 comments:

  1. First thought: anyone who learned geometry (emphasis on "learned" as opposed to "passed")should be able to figure out the first one, because of the nature of conditional statements.
    Second thought: If these two problems are always presented in this order, then I think the reason more people get the second one right is because they learned from the first. Though, I assume there have been appropriate tests carried out to verify that the second one is more frequently answered correctly for philosophers to make this claim.

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  2. The first problem is flawed. Turning over the 7 card will only help you determine if the rule is true if there is a vowel on the opposite side (in which case you have proven that the rule is false). If the 7 has a consonant, then you have to assume that all odd-numbered cards have consonants. That is hard to do with an unknown population size and a sample size of one.

    The second problem suffers from the same assumption flaw.

    I couldn't see a logical way to answer either question without making an unsupported assumption. I failed.

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  3. Nate, you are thinking too much like an economist. There is no population size or sample size. There are only four cards, and there are only going to be four cards.

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  4. This comment has been removed by the author.

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  5. "All four cards in the first group..."

    The identification of "the first group" led me to assume that there were multiple groups, else why identify the first of all groups?

    "Now, pretend you are the bartender."

    A bartender with 4 customers is not a host, not a bartender. And why would a bartender need to turn over the cards if he/she only has 4 customers?

    There are never just 4 cards.

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