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Book:   Your Brain: The Missing Manual
Subject:   Why I recommend this book
Date:   2008-07-07 13:54:50
From:   Hartley Jackson
Rating:  StarStarStarStarStar

There are a number of reasons why I can recommend this book.


Matthew MacDonald displays a great sense of humor in Your Brain: The Missing Manual.


He covers a complex subject as complex as the human brain in simple easy to understand language and does it in about a third the number of pages needed to cover a much simpler computer operating system.


He includes summaries of the information that can help you to use this understanding for your own brain maintenance.


I believe some of the most useful information that he provides has to do with how the brain and our own expectations can fool us into an unshakable belief in something that is absolutely untrue.


I also believe that his own brain fooled him into including a probability example from a 1990 Parade magazine article. I had read about this before and the author repeated what I had read - that hundreds of math professors wrote in with faulty logic to "correct" the solution that was given in the Parade article.


A person is to pick the one of three doors that leads to the prize. After he picks the door, the host then eliminates one of the remaining doors that does not contain the prize. The person is not told whether the door he picked leads to the prize or not. It is true, but maybe not obvious, that this first choice is absolutely meaningless and provides no information about what is behind the other two doors.


The person is then told that he can pick either of the two doors. Wording this instruction in terms of switching or sticking to the person's initial choice obscures the fact that this is now a new separate simple probability game where choosing either door has a 50 - 50 chance of winning.


If you cannot see that this simple solution is correct, it is probably because who are we to question it when hundreds of math professors wrote it with faulty logic to "correct" it?


I recommend reading this book to learn more about how our brains and others words lead us to incorrect conclusions, and about ways we might better maintain the way our brains function.


If you read the above probability example remember that the probability depends only upon the doors and has nothing to do with whether he changes his mind.

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  • Corrections to Why I recommend this book,  August 16 2008
    Rating: StarStarStarStarStar
    Submitted by Hartley Jackson   [Respond | View]

    I was correct in recommending this book, but I was wrong in my criticism of it.

    I correctly wrote that:

    I believe some of the most useful information that he provides has to do with how the brain and our own expectations can fool us into an unshakable belief in something that is absolutely untrue.

    At this point in my initial review I was wrong when I wrote "I also believe that his own brain fooled him into including a probability example from a 1990 Parade magazine article." I had read about this before and the author repeated what I had read - that hundreds of math professors wrote in with faulty logic to “correct” the solution that was given in the Parade article. At least I was not alone in being wrong.

    A person is to pick the one of three doors that leads to the prize. After he picks the door, the host then eliminates one of the remaining doors that does not contain the prize. What I missed and what Mathhew MacDonald clearly showed in his diagram was that there was just one chance in 3 that the first pick would lead to the prize. There was a two thirds chance that the prize was behind the other two doors. The host provided information that says which of the other two doors it would have to be behind. Switching is a better choice two out of three times. I believe that having read a poorer explanation of this before and being upset by what I thought was faulty logic may have blinded me to Mr. MacDonald's correct explanation. I was only able to understand my error after reading a third report and then re-examining Mr MacDonald's diagram.

    I recommend reading "Your Brain: The Missing Manual" to learn more about how our brains and others words lead us to incorrect conclusions, and about ways we might better maintain the way our brains function.

    This is a five star book that I will read more than once. It even helped me to recognize my own brain's misdirection..


  • Matthew MacDonald photo The Monty Hall problem,  July 09 2008
    Submitted by Matthew MacDonald | O'Reilly AuthorO'Reilly Blogger   [Respond | View]

    The Monty Hall problem is a tricky one, because the solution seems so thoroughly counterintuitive. The short answer is that the final choice between two doors isn't a "simple probability problem" because the state of those doors (what's behind them) has been influenced by the host's prior decision, and the host's decision was not made randomly. But if you aren't convinced by the probability tree, try the game that's described in the book, and enjoy the chance to beat the pants off your friends two thirds of the time! (I know I did.) Or, for a more intense mathematical explanation, head to Wikipedia and search for "Monty Hall problem" or "Three Prisoners problem."

    Incidentally, I didn't intend to give mathematicians a bad rap--during the Parade controversy a significant minority wrote in to express embarassment that so many of their colleagues had jumped to the wrong conclusion using their instincts, rather than take the time to work out the problem on paper.