Child Prodigies
I’ve recently had cause to look at the published literature on child prodigies and there’s not much there. It is very surprising that such an interesting subject has been so little researched.
First a definition from a paper by David Feldman: A “prodigy was a child (typically younger than 10 years old) who is performing at the level of a highly trained adult in a very demanding field of endeavor.” There are three fields in which high-level creative results have been produced before the age of 10: Chess, Mathematics and Music. There are other fields such as art and writing in which young people may be precocious imitators. Pablo Picasso exactly mimicked his father’s drawings. There is an impressive list of child prodigies in other fields as well, but it seems that only in chess, mathematics and music have profound, original insights been contributed by preadolescent children.
There is an interesting association between mathematics and chess: many top chess players are also extremely good at mathematics. In a previous post I mentioned the English Grandmaster John Nunn, and there are many other examples. Men dominate both fields, but that does not necessarily mean that there is a natural gender difference. There’s a very interesting book entitled Breaking Through, by the chess Grandmaster Susan Polgar who was herself a prodigy, as were both of her sisters. Girls have been excluded from many of these events, or they’ve been forced to play only against girls or women. I know a young person who as a pre-teenager wanted to join the school chess club, but only went once, after discovering that all the other members were boys. A shame: she was already quite a strong player.
Both chess and mathematics involve highly developed non-verbal and visuospatial skills. The writer and critic George Steiner had this to say: “The solution of a mathematical problem, the resolution of a musical discord or conclusion of a contrapuntal development, the generation of a winning chess position can be envisaged as spatial regroupings, that have their own internal logic.” He went on to speculate, “All three fields involve enormously powerful but narrowly specialized areas of the cortex. These areas can somehow be triggered into life in a very young child and can develop in isolation form the rest of his psyche. Sexually and socially unformed, very possibly backward in every general respect, the child virtuoso or pre-teenage chess master draws on formidable but wholly localized synapses in the brain.”
In the book The Exceptional Brain, Lee Cranberg and Marty Albert suggested that these “localized synapses” lie in the right hemisphere of the brain, which is primarily involved in non-verbal visuospatial skills and pattern recognition. They also suggested that gender differences in proficiency in chess support the right hemisphere idea. But after reading Susan Polgar’s book, and spending a great deal of time analyzing the world literature on gender differences in cognition, that last point doesn’t convince me.
It is striking that three of the code breakers at Bletchley Park during the second World War, were outstanding international chess players Stuart Milner-Barry, Harry Golombek and Hugh Alexander. These code breakers who helped win the War also utilized similar skills to those needed to master a chess position or to calculate a mathematical problem.
The child prodigies seem to have some things in common:
- An unusually strong talent in a single area
- Reasonably high but not necessarily exceptionally high IQ: some people with astronomically high levels of intelligence have had problems with interpersonal adjustment, unless very carefully nurtured as children.
- Focused energy.
- Sustained effort to achieve the highest levels in their field: even chess prodigies need thousands of hours of practice, and mathematical prodigies need to work at their field.
- Unusual self-confidence.
Adults who want to improve in chess are constantly told to practice as much as possible, and to work on pattern recognition and problem solving. It is just the same in music and mathematics.
Although child prodigies may simply have better neurological equipment, usually coupled with extraordinary encouragement by their parents, I am left with a question that I posed in an earlier post. Mozart often said that when he was composing he felt as if he was taking dictation from God. That he was not the one composing, but that he was in effect picking something up from the Universe. I’ve seen countless highly gifted people tell me that their greatest insights in science, music philosophy or chess just “came to them.” The former chess World Champion Tigran Petrosian once said that he could tell when he was out of form when his calculations did not confirm the validity of his first impressions. All this implies unconscious processing to be sure, but I am not sure that it is all in the brain.
Because there is another phenomenon that has also not been much researched, and that is the phenomenon of simultaneous breakthroughs: two or more people in different parts of the world coming up with new creative solutions at the same time and without any personal contact. I shall have more to say about this in another post, but it speaks to the fundamental interconnectedness of all of us.
Maybe the child prodigies not only have special brains and special parents, but they also have access to a store of information not available to everyone.
At least not yet: We already have training methods that help people access accurate information that they did not know consciously. A story for another day.
“Genius is characterized just by the fact that it escapes classification.”
–Leopold Infeld (Polish Physicist, 1898-1968)
Intuitive Knowing and the Real Rainman
In 1988 the Dustin Hoffman won the Academy Award for Best Actor for his portrayal of Raymond Babbit in the movie Rainman.
The character was actually inspired by a real person named Kim Peek. Now in his mid-fifties, Kim has memorized more than 11,000 books, and can read a page of any book in about ten seconds. It has recently been discovered that each of his eyes can read a separate page simultaneously, absorbing every word. He can also do instant calculations on things related to the calendar and several other very specialized topics.
He and his brain has been studied in great detail by a Dr. Darold Treffert at University of Wisconsin Medical School. It is quite different from the rest of the population. He does not have the great bridge – the corpus callosum – that connects the two hemispheres in most people. Instead he just has one solid hemisphere. The right cerebellum is in several pieces. None of this really explains his abilities, though perhaps having no corpus callosum means that the right side of his brain is freed from dominance by the left. Darold Treffert makes a good point when ha says that Kim’s father is partly responsible for his brilliance: his belief in his son and his unconditional love for him may have more to do with bringing forth his remarkable skills than the wiring of his brain.
There have been many other cases of savants who had remarkable and seemingly effortless abilities. For years now I’ve collected reports about some of them. Srinivasa Ramanujan who complied over 3000 mathematical theorems in less than four years. Vito Magniamele who at the age of 10 could compute almost instantly the square root of any large number. Then there was a six-year-old child named Benjamin Blythe, who while out walking with his father in 1826, asked, “What time is it?” After being told, he gave – accurately – the exact number of seconds that he had been alive, including the two leap years. In one of his books, Oliver Sachs, describes a pair of twins in a psychiatric hospital who are said to have below “normal” intelligence, but who amuse themselves by swapping enormous prime numbers. Even the English chess grandmaster John Nunn reported how, as a child, he could do instant calculations in his head. And, at the age of fifteen, he became the youngest undergraduate at Oxford University in 300 years. Most strong chess masters will "know" where to put the pieces, but then come up with the logical reasons later on.
These abilities: to read and memorize, to do instant calculations and to have instant deep knowledge of topics is remarkably interesting and important for all of us. If complex mathematics can be done by people who have no training or intellectual sophistication, what other gifts and talents may we have lying undiscovered within us?
These observations lead to the questions; first, can anyone do the same feats as Kim Peek? Second, where does instant mathematical information come from? Third, can anyone access it? And fourth, is this similar to the way that shamans and Babylonian mathematicians obtained their information?
In Healing, Meaning and Purpose we learn that there is powerful evidence to suggest that we do have access to a whole seam of knowledge about the world around us. The anthropologist Jeremy Narby studied shamans in the Amazonian rainforest who have found safe and effective herbal treatments among the 80,000 plants available to them. They are usually used in combinations, and to have tested all the plants and all the possible combinations would have taken hundreds of thousands of years. So it cannot have been done by trial and error. I have seen something similar in traditional Chinese herbal medicine, where combinations are invariably used, and once again, if the effective ones had been discovered by trial and error, it would have taken armies of physicians working for countless thousands of years.
I don’t expect everyone to be able to become lightning calculators. Neither would most us want to be. But there are a number of ways of getting much better at tapping this intuitive knowing. It is important to tap your intuition and to use it as the ally of your reasoning.
- Relaxation, meditation or prayer are all excellent for starting the process. Meditation to explore your inner nature may take hours a day for many years, but when we use it to improve our inner knowing, a few minutes a day is all that you need. Just long enough slightly to alter your state of consciousness
- Visualize a place that you really like that you can return to at will. I learned this trick from a shaman, and it’s immensely useful. You might remember, visualize or create a space for yourself. For instance you might like to imagine going to a beach that you like.
- Ask a question: remember that the quality of your answers is dependent on the quality of your questions. So be precise and be calm when you ask you question.
- Agree with yourself that you will take action on what you learn. And that leads me to the last point for today:
- I just got an email question about how to differentiate between an impulse and an intuition. The answer to that is your response: an impulse impels you to immediate action, an intuition gives you time to reflect and to thank the Universe for what you’ve just been told.
“At every moment there is in us an infinity of perceptions, unaccompanied by awareness or reflection. That is, of alterations in the soul itself, of which we are unaware because the impressions are either too minute or too numerous.”
–Baron Gottfried Wilhelm von Leibniz (German Philosopher and Mathematician, 1646-1716)
Risk, Reason, Intuition and Avoiding Overwhelm
The British Academy Festival of Science at the University of East Anglia has just finished, and there were a lot of interesting papers this year.
There was some impressive work on two unavoidable parts of life: risk and uncertainty. And how we cope with them. Professor Peter Taylor-Gooby, who is the Director of the Economic and Social Research Council Social Context and Responses to Risk Network (SCARR) at the University of Kent, had this to say: "There is a lot of evidence that concern about risk is directly related to lack of knowledge and the extent to which the event is dreaded…. and trust always involves emotion as well as reason."
How can we restore people’s level of confidence in themselves, in the people around them and in people in positions of authority? The answer lies in emotions instead of reason alone. This is especially true when the perceived risk is related to health, the environment, new technologies and energy.
Peter went on to say this: "The way that information about a particular risk is transmitted and interpreted by various audiences is also important in determining how people respond."
We all engage in some routine tasks without much thought. To apply your full awareness to everything that you do would quickly become exhausting. That is why we develop habits and do some things “On autopilot.” Habits are essential, and we have helped countless people by reprogramming habit patterns.
A problem can occur when you do the wrong things on autopilot and applying too much attention to things that do not require it. The first may damage a relationship: your significant other may not be best pleased to discover that you have been on autopilot during an intimate event. Applying too much attention to things that do not merit them is a good way of developing anxieties and paranoia.
With the increasing complexity of the world, and more things vying for our attention, we are all facing what I call “Overwhelm,” which is just what is sounds like. When we are tired or sick in mind, body or soul. When our subtle systems have become depleted by poor food, irregular breathing, negative people or a negative environment, any of us can become overwhelmed. People with attention deficit disorder, anxiety disorders and bipolar disorder are all more likely to suffer from Overwhelm. Many of the techniques for developing resilience that we have been discussing, are specifically designed to protect you against Overwhelm.
The key for us is to have in place a series of coping strategies that neither rely upon rationality alone or on a mixture of blind faith or hope: that is the best way to deal with growing uncertainties.
“Often you have to rely on intuition.”
-Bill Gates American Computer Genius, Businessman and Co-founder of Microsoft, 1955-
Chess and the Mind
I have a confession to make: I have been a life long chess enthusiast, and I can’t start the day without visiting the best chess website on the internet. We are currently almost half way through the second major tournament of the year: the same one at which the incomparable Garry Kasparov announced his retirement last year.
Chess is not just a pastime. There is evidence that it is one of the ways in which we can improve the thinking abilities of young people and prevent the downward slide of our minds as we get older.
In the United Kingdom, studies have shown an astonishing correlation between the academic attainments of schools and the success of their chess teams. Year after year, the schools with the most successful teams send more of their students to top universities, compared with schools that do not play the game or have weak teams. During the Second World War many of the geniuses working at Bletchley Park who cracked the Enigma Code, were outstanding chess players.
For a long time now big business has been recruiting high-level chess players into particular positions that require their unusual skills. It tells you something when you see a major corporation placing advertisements for executives in chess magazines. Chess helps develop memory, concentration, visualization, decision-making, and sharpens our analytical and strategic thinking. It can even help make us more creative and more imaginative. Tournament players have to have a good degree of self-knowledge, and some grasp of psychology is a must. I have won more than one tournament game because of my ability to read the body language and intentions of an opponent. It is no surprise that a good many strong chess players are doing extremely well playing online poker. Chess really is a microcosm of life in general.
“Life is like a game of chess: we draw up a plan; this plan, however, is conditional on what – in chess, our opponent – in life, our fate – will choose to do.” –Arthur Schopenhauer (German Philosopher, 1788-1860)
The chess master Bruce Pandolfini was portrayed – and had a brief cameo – in the film Searching for Bobby Fischer. He has written a nice little book called Every Move Must Have a Purpose, about applying chess strategies in business and life, and next month will see the eagerly awaited publication of a similar book by the master himself, Garry Kasparov.
Here are some principles that I have learned from chess, and that I apply to health, life and business:
- When confronted with any kind of a problem, try to break it down into small manageable chunks, and if you can’t, learn to use and to trust your intuition. (Have a look at my post on Unconscious Processing and Intuition)
- Constantly ask questions: Why is this happening? Is there a pattern here? What does the other person intend? How can I fashion a response that fits and will move things in the direction that I want and is congruent with my overall plan of life? What are the rules here? Can I break the rules? This does not mean cheating, it means being sure that you are not applying rules mechanically, without checking to make sure that they apply in your particular situation.
- Always work to a clear plan. Even if the plan is not correct, it will always be better than the efforts of someone who has no plan at all. It is fine to “go with the flow,” after you have won the game!
- Be constantly on the lookout for opportunities and if there aren’t any, create them!
- As in life, chess demands action. You will succeed at nothing by sitting and waiting for success to come to you.
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A game of chess, like the game of life demands one move after another. The successful person is one who makes each move to the very best of their ability. As Willard J. Marriott said: “It’s the little things that make the big things possible. Only close attention to the fine details of any operation makes the operation first class.”
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Have absolute integrity in everything that you do. Be honest with other people and be honest with yourself. If you say that you are going to do something, do it. If you commit to a plan, do not stop until it is complete.
- Coordinate all of your resources. In chess, it is impossible to win unless all the pieces are coordinated. You can destroy everything that you’ve worked for by having a piece adrift on the far side of the board, with nothing to do.
- If you have any weakness, make it your business to convert them into strengths.
- Don’t exceed your own capacity by over-extending yourself.
- Resilience is an extremely important attribute that we all need to develop: things do not always go according to plan, and when they do not, it is important to be able to bounce back quickly.
- Learn not to be over-awed by challenges. Many people defeat themselves with faulty expectations. I once had a trainer who was an extremely fine player. In one tournament he was in with a chance of winning serious money, but in the last round he was drawn against a Russian grandmaster. I saw him before the game: shoulders hunched over, hyperventilating and a scowl on his face. Play began with a variation that my coach and I had analyzed five days earlier, and he had shown me what not to play. In the game against the Russian he played the very move that he had just told me was a critical mistake! He lost in just a few moves. Not because the Russian beat him, but because he beat himself.
“A mountain is composed of tiny grains of earth. The ocean is made up of tiny drops of water. Even so, life is but an endless series of little details, actions, speeches, and thoughts. And the consequences whether good or bad of even the least of them are far-reaching.” — Sri Swami Sivananda (Indian Physician and Spiritual Teacher, 1887-1963)
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Unconscious Processing and Intuition
There is a very interesting paper in this week’s Journal Science. It is from a group working at the University of Amsterdam, and their findings are likely to turn one branch of psychology upside down. Let me explain the importance of this work, and how you can start to apply it in your own life.
What the researchers did was to divide their subjects into two groups. In the first experiment the subjects had to decide on a favorite car. One group used a conscious, intellectual reasoning approach and the other group was distracted with puzzles to keep their conscious minds busy before making the decision. When there were only four things to factor into the choice, the intellectuals did better. But when they had to choose on the basis of 12 factors the people using conscious decision-making did much worse than the people who had to make an immediate decision based on unconscious thought processes. In the second experiment shoppers were asked about their satisfaction with items that they had bought. People who bought on the basis of conscious deliberation were much happier with their choices of simple items, while the “unconscious” shoppers preferred their choices of more complex items.
Why is this so important? Since the Enlightenment, science has emphasized the benefits of conscious deliberation in decision-making, and has tended to look down on the whole notion of unconscious thought. Yet this study adds to the growing body of evidence that not only can people think unconsciously, but that for complex decisions, unconscious thought is actually superior. Conscious thought is like a bright torchlight that can only illuminate a few things at a time, and that can lead to some aspects of a problem being given undue attention.
This report supports something that many of us have been teaching for some time. Too much conscious deliberation can actually be counter-productive. Effective thinking needs us to get all the information necessary to make a decision. Then, if we are dealing with a simple decision use conscious thought. But if the decision is complex, it is best left to unconscious thought; in effect to sleep upon it. The answer then tends to appear very suddenly.
There is a secret about the way in which a great deal of progress is made: Most of the major advances in physics have come not from logical progression, but from mystical revelation: Albert Einstein and the theory of relativity, Max Planck and quantum theory, Erwin Schrödinger and wave mechanics, the list is a long one. The great Welsh mathematician and philosopher Bertrand Russell once said of Einstein, that the problem in understanding him was not a difficulty with his logic, but with Einstein’s imagination. He was able to let his mind go to places that others could not, and it came back with answers that nobody else could have conceived of. There is evidence that while most chess players spend virtually all of their time trying to calculate, strong players rely on unconscious processes for most of the game, and only calculate for short periods when their unconscious mind tells them too. There is even evidence from brain imaging studies that average players activate all the cognitive areas of the frontal lobes while playing, with some temporal lobe activity as they try to remember their lessons. By contrast, a chess master uses many regions of his brain at once, and only occasionally activates parts of his frontal lobes when calculation is required.
What this means for us is that we must not be afraid to turn complex problems over to our unconscious minds. I have also spent a great deal of time training people to get used to using their intuition, for this is really one aspect of what we are talking about here. In my book Healing, Meaning and Purpose, I have several sections on developing your intuition.
When you start learning to turn problems over to your unconscious mind, one of the most difficult things is to know when to trust it. So here are some tips:
1. Once you have an answer, now is the time to use your conscious mind to see if the answer that you’ve come up with makes sense.
2. Learn to trust yourself. That may take a little time, but if you have a problem with trusting yourself, you have something tangible to work on.
3. Always be certain that you are prepared to hear whatever answers you receive.
4. Use your intuition to evaluate your intuitions: does the answer “feel” right?
5. Don’t force the process: conscious deliberation follows a linear time scale, unconscious thinking does not; so let insights come in their own time.
6. Always promise yourself that you will take action on any decisions that you make. Your brain and mind will not likely be very cooperative if you ignore the fruits of your unconscious thinking!
“There is no such thing as a logical method of having new ideas…. Every great discovery contains an irrational element of creative intuition.” –Sir Karl Popper (Austrian-born British Philosopher, 1902-1994)
