It is through the sensitive juxtaposition of light and dark that the stark, naked truth is born from the shadows to dance, once more, unfettered and ever more brightly before our fading eyes. Chiaroscuro The Journal of the VinCI Society and ISI-S, Issue No. 2, Jan 2004 Editor: Muhamed Veletanlić Chiaroscuro is the official journal of the VinCI Society and ISI-S. All material published here is the property of the respective authors. Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Table of Contents Haikus – Two haikus by Ryan Sloan Honey Dew – A poem by Veola Carter The Secret Sex Life of Charles Lindbergh – An article by Robert Brizel John Lennon – A drawing by Kelly Dorsett A Computer Brady Bunch (parody) – A poem by Kelly Dorsett Quiescence – A poem by Kelly Dorsett Spring For The Scared Child – A poem by Kelly Dorsett Fountain – Holga photography by Kelly Dorsett Roots – Holga photography by Kelly Dorsett Pier Shot – Holga photography by Kelly Dorsett Rejects Tree – Holga photography by Kelly Dorsett Sustainable Poverty Reduction in Developing Countries - A Critical World Imperative – An article by William Clark and Matthew Berry We are Just One – A poem by Hernan Chang Saddam Hussein is Captured in Operation Red Dawn – An article by Robert Brizel Pascal’s Wager and the Paradox of Kraïtchik – An article by Albert Frank Gravitação Quântica - Atrativa, Repulsiva e Neutra – An article by HIndemburg Melao Jr. Método para aprimorar a acurácia na determinação das distâncias de estrelas – An article by Hindemburg Melao Jr. Die Laughing – A poem by Kay Lindgren The One-Legged Plover – A poem by Kay Lindgren Take Note – A puzzle by Lloyd King Symbolism – A puzzle by Lloyd King To Catch a Thief – A puzzle by Lloyd King Unknown Quantity – A puzzle by Lloyd King The Wolf at the Door – A painting by Lloyd King Forest of the Abandoned – A painting by Lloyd King Hypnosis (Fractal) – A visual art by Maria Claudia Faverio Tristesse – A visual art by Maria Claudia Faverio Blue Maze – A poem by Maria Claudia Faverio Vagabond Sun – A poem by Maria Claudia Faverio Monsieur Ibrahim – An article by Robert Brizel Science and NLP (Neurolinguistic Programming) – An article by Enrico di Bari Semantic Investigation – A puzzle by Laurent Dubois Answers to the puzzles from the last issue of Chiaroscuro 2 3 3 4 8 9 9 10 11 11 12 12 13 21 22 24 31 35 42 43 43 44 44 44 45 45 46 46 47 48 49 50 53 54 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Haiku No. 1 East, where light is borne and where darkness lies near death 'til light lies down west. Haiku No. 2 The trees do whisper and the glass blades do chatter but no one listens. Ryan Sloan Honey Dew Worship the ground that he walks on Cherish his each and every kiss Share every conscious moment, basking in the bliss Remember the vows, that made you both ONE Before God, man and one another When those sacred words were softly spoken 'I DO', was not what was said, and then DONE. The joining of two hearts and souls Eternally, forever BOUND Nowhere in the Milky Way, can a more celestial love be found. Write your list, and he'll write his too He's sweeter than the most succulent nectar. The bees would lose their cool. No-one else could ever guess, or even have a CLUE. Renew your vows and reassure him by delicately whispering in his ear. 'Oh yes', my dear sweet HONEY, I sincerely and faithfully promise you that, I still DEW (DO). Veola Carter 3 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 The Secret Sex Life of Charles Lindbergh By Robert Brizel Venerable icon. Pioneer of aviation. Revered and beloved public legend. All of these terms have been used to describe flying ace Charles Lindbergh, who was admired by Americans and Germans alike for his airplane accomplishments. Now, long after his death, new details have emerged which now paint a stunning portrait of the aviation sex scandal of the century. What remains bizarre in these revelations is nobody knew about it. In the fast of what might have been another cruel hoax, Lindbergh’s grandson, Morgan Lindbergh, came forward for a DNA test which proved with 99.9 percent certainty that Dyrk and David Hesshaimer and their sister Astrid Bouteuil of Munich, Germany were Charles Lindbergh’s illegitimate children. Between 1957 and 1974, Mr. Lindbergh and his family made three trips to Munich every year. Unbeknownst to his own family, Lindbergh was using these trips to sneak away for secret sexual trysts with Munich hat maker Bridgette Hesshaimer, beginning in 1957 when he was 55 and she was only 32 under the mysterious alias of ‘Mr. Careu Kent’. Dozens of handwritten letters from Lindbergh to the children’s mother found by them in the 1980’s confirmed the inevitable. Mr. Lindbergh had acted responsibly towards his ‘secret’ family, however, devoting much time and energy to them, helping to buy a family house and setting up trust funds for the children. The mother, acting on Lindbergh’s behalf, had obtained the children’s silence while she was alive. Now, two years after her death, these illegitimate children are not seeking a claim of Lindbergh’s legitimate estate or assets. A meeting is planned between the two Lindbergh families in 2004, and a new book and television documentary will reveal the true details of Lindbergh’s incredible double life with the Hesshaimers. The Daring Exploits of Lindbergh: Lucky Lindy and the Lone Eagle In 1927, Charles Lindbergh became an international hero by flying solo across the Atlantic Ocean from New York to Paris in 33 hours. His life became more public, largely due to two incidents: the kidnapping and murder of the Lindbergh baby by Bruno Hauptmann; and Lindbergh’s sympathy for the Nazi 4 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 cause, including receiving an award from Luftwaffe leader Herman Goering (later a high Nazi official) seen as Pro-Nazi. The world press nicknamed Lindbergh ‘Lucky Lindy’ and ‘The Lone Eagle’, but Lindbergh alienated the press by speaking out against American involvement in World War II before the Japanese attack on Pearl Harbor. A barnstormer pilot who performed daredevil stunts at county and state fairs, Lindbergh enlisted in the U.S. Army in 1924 so he could become an Army Air Service Reserve Pilot. He graduated from the Army’s flight-training school in San Antonio as the best pilot in his class. He was hired by the Robertson Aircraft Corporation of St. Louis to fly mail between St. Louis and Chicago. The Orteig Challenge and the Spirit of St. Louis In 1919, a New York hotel owner named Raymond Orteig offered 25,000 dollars U.S. (an extraordinary sum at the time) to any airplane pilot who cold fly solo from New York to Paris. Many were injured or died attempting the challenge. In 1927, the award was still unclaimed and available. Lindbergh decided he would attempt the flight, and obtained the financial backing of nine St. Louis businessmen. A special plane which Lindbergh called ‘The Spirit of St. Louis’ was constructed by the Ryan Aeronautical Company of San Diego, California. Lindbergh flew the plane first to St. Louis, then to New York City, on May 10 to 11, 1927. Even with an overnight stop in St. Louis, it was a transcontinental record. On May 20, 1927, Charles Lindbergh took off in his plane from Roosevelt Field in New York City at 7:52 A.M New York time. He landed at Le Bourget Field in Paris on May 21 at 10:5l P.M. Paris time. The successful trip earned Lindbergh the Congressional Medal of Honor and the Distinguished Flying Cross. Lindbergh then went on a three month sponsored tour, visiting 92 cities in 49 American states and giving 142 speeches. He wrote the book ‘We’ which told about his 1927 trip from New York to Paris. Mr. Orteig’s challenge is most significant: it changed the face of tourism, and later, war. Charles Lindbergh Finds Love in His Heart, and Invents an Artificial Heart While touring Latin-American countries in 1927 on a goodwill tour at the request of the United States government, Lindbergh met Anne Morrow, daughter of the American Ambassador to Mexico Dwight Morrow. Lindbergh taught her how to fly, fell in love, and married her in 1929. The two traveled on many flying expeditions together. 5 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Between 1931 and 1935, Charles Lindbergh invented and developed the earliest prototype of the artificial heart, a lesser known fact about him. Lindbergh’s device could pump the substances necessary for life throughout the tissues of the body. Lindbergh’s academic background included two years studying mechanical engineering at the University of Wisconsin, before he dropped out to become a pilot - and later - an inventor. The Lindbergh Kidnapping and the Development of the Lindbergh Law On March 1, 1932, Lindbergh’s 20 month old son Charles Augustus Lindbergh Jr. was kidnapped and killed by Bruno Richard Hauptmann, a carpenter. It was not until 1934 that Mr. Hauptmann was arrested. He was executed in 1936. As a result, Lindbergh moved with his wife and son Jon to Europe for reasons of safety and to avoid publicity. Congress then passed the Lindbergh law, making kidnapping a federal offense if the victim is taken across stateliness or the mail is used for ransom demands. In 1938, Mr. Lindbergh accepted the German Medal of Honor during a tour of Germany’s highly advanced aircraft industry. Returning to the United States in 1939, Lindbergh joined the America First Committee in 1941 as its official spokesman, an organization opposed to American involvement in World War II, and resigned from the Army Air Corps. After Pearl Harbor, he was not allowed to re-enlist, and worked as a test pilot for the Ford Motor Company and United Aircraft Corporation. General Lindbergh’s Life during World War II and After the War In 1944, Lindbergh flew 50 combat missions as a civilian on behalf of the United States Army and Navy. Lindbergh also developed fighter plane cruise control technology. Quietly working as a consultant to the U.S. Air Force after the war, Lindbergh was eventually promoted to Brigadier General by President Dwight D. Eisenhower in 1954. He also worked for Pan American Airlines and designed the new Boeing 747 aircraft. He then wrote ‘The Spirit of St. Louis’ in 1954 and won the Pulitzer Prize. A staunch conservationist, Lindbergh opposed supersonic transport planes because he felt they would damage the atmosphere, and campaigned to protect the peoples of Africa, the Philippines, and several species of humpback and blue whales. The ‘Save the Whales’ movement grew largely out of the early efforts of Mr. Lindbergh. ‘The Autobiography of Values’, a posthumous collection of Lindbergh’s writings, was published in 1978. 6 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 He died at home on the Hawaiian island of Maui on August 26, 1974 at age 72. Lindbergh was born in Detroit, Michigan on February 4, 1902. His father, Charles Augustus Lindbergh Sr. was a U.S. Congressman from Minnesota from 1907 to 1917. Undoubtedly the son overshadowed his father’s accomplishments from pillar to post. Charles Lindbergh Jr. was a venerable public icon whose adulterous ways were somehow kept hidden and silenced for nearly half a century. 30 years after his death, Charles Lindbergh can be forgiven for his daring secret sex life, but it is a strange postscript. Lindbergh Biography and References Charles Lindbergh, an American Aviator www.charleslindbergh.com/index.asp 7 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 John Lennon Kelly Dorsett 8 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 A Computer Brady Bunch (parody) Here's a story, of a fancy iBook, who was hooking up a very small cluster. All of them used Appletalk. Scripted all together, the youngest one in Perl. Here's a story, of a box named Mandrake, who was hosting three domains of it's own. They were Beowulf'd all together. yet they wanted Cisco. Til the one day when the Mandrake grocked this iBook, and they gave each other root commands and such. and these Groups, must somehow form a Network, That's the way they all became the PC bunch. The PC bunch, the PC bunch, That's the way they became the PC bunch. Quiescence Kelly Dorsett Secretly creeps inverse peeps. Losing my venue, pungently engulfs you. Closing your eyes, hushing babies’ cries. He bites as he wants to tenacious of virtue. My vigilant ensue, apparition uninvited, verger pirated bale of ullage gauges my courage. Ensues absolute failure, until the spell breaks my stature, leaving me breathless. A pinnacle encumbers quiescence. I sit here motionless as was always deemed necessary. Kelly Dorsett 9 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Spring for the Scared Child (Published in the Momence High School Yearbook '96) Once, a child explored a beauty, in which he'd never seen. He watched the empty branches grow, to dress with healthy leaves. When he grew older, he had a child, this child was quite afraid. When lightning flashed and thunder blast, the child would hide away. One day he sat his son to rest, and relax from the storm. This is what he told his son, is nature's grand reward. Showers of rain will sprinkle down and storms will soak our lands. Nights may bring lightning around, yet this is earth's demand. But soon the showers turn to sun, and petals of flowers bud. Children play and have some fun, getting dirty, playing in mud. Lilac bushes take their heed, as mom plucks them for her vase. Little girls with playful needs, carry them place to place. Coats and jackets run and hide, boots will take their leave. No longer will you stay inside, as was the former need. The memory of winter now, should seem now obsolete. As swimming pools are opened up and sandals are on your feet. The father smiled and held his boy with a peacefulness in his eyes. He rocked him to sleep the rest of the day, and was calm the rest of the night. Kelly Dorsett 10 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Fountain Roots Kelly Dorsett Kelly Dorsett 11 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Pier Shot Kelly Dorsett Rejects Tree Kelly Dorsett 12 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Sustainable Poverty Reduction in Developing Countries A Critical World Imperative _____ William Clark and Matthew Berry Illiteracy Poverty 'LITERACY PREREQUISITE FOR REACHING GLOBAL ANTIPOVERTY GOALS' 'A WORLD MIRED IN THE DESPAIR OF POVERTY WILL NOT BE A WORLD AT PEACE' "Acquiring literacy is an empowering process, enabling millions to enjoy access to knowledge and information, which broadens horizons, increases opportunities and creates alternatives for building a better life." "Approximately 1.2 billion people struggle to survive on less than a dollar a day. An estimated 840 million suffer the gnawing pain of hunger, and as many as 24,000 people, many of them children, die every day as a result." -Secretary-General Kofi Annan September 8, 2003 -United Nations -Secretary-General Kofi Annan October 17, 2003 -United Nations Economic Deficiency ‘BROAD, SUSTAINED ECONOMIC GROWTH IS THE KEY TO POVERTY REDUCTION AND ACHIEVEMENT OF GLOBAL DEVELOPMENT GOALS' -Fifty-eighth General Assembly Plenary Ministerial Round Table 8 -United Nations Three vital conditions are recognized . . . Poverty, if left unchecked, will eventually affect everyone on earth. 13 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Absolute Poverty - a definition Unimaginable to many people, absolute poverty is a fact of life for a large percentage of people living in impoverished countries. These individuals are forced to live on less than 1 US dollar per day.† Health conditions and mortality rates are dismal at best. Not only are these people denied the opportunities and living standards commonplace in the developed world; extreme conditions compel impoverished people and their countries to forego investment in their basic infrastructure, healthcare, education, and resource management initiatives. Poverty, with all of its negative influences, will become an increasingly dire circumstance for the entire globe. The far-reaching effects of the impoverished condition have profound negative ramifications around the globe. Countries afflicted by poverty do not have the means to practice effective governance or wise management of their natural resources. This inevitably leads to cause and effect scenarios that impact the global community either directly or economically. Common effects include: -Epidemics -Natural resource elimination -Civil unrest -Food shortages -Outbreaks of new pathogens -Deforestation Nestled between China and India is Nepal, with 37.7% of its population living in absolute poverty. Some of these affects have been known for generations, some are just becoming widely known, and some are yet to be fully understood. It is clear that the consequences of inaction are very troublesome. †The percentage of the world's population living in absolute poverty (living on less than one United States dollar per day) has declined since the mid-1980s. However, the decline is below the pace needed to achieve the international development goal of reducing extreme poverty by one half by 2015, and the total number of the poor in 1998 was greater than it had been a decade earlier. Almost one fourth of the population of less developed regions and economies in transition - 1.2 billion people - live in absolute poverty. Poverty is most pervasive in sub-Saharan Africa and South-central Asia and is related to a wide range of factors, including income, health, education, gender and ethnicity. - United Nations First United Nations Decade for the Eradication of Poverty In December 1995, the General Assembly proclaimed the First United Nations Decade for the Eradication of Poverty (1997-2006). In December 1996, the General Assembly declared the theme for the Decade as a whole to be "Eradicating poverty is an ethical, social, political and economic imperative of humankind." -UN Division for Sustainable Development 14 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Population growth - 5 billion more people The need for sustainable poverty reduction and eventual elimination becomes increasingly clear every year as the worldwide population quickly escalates eventually by 5 billion more people. What is truly worrisome is the fact that most of the world's population increase is occurring, and is projected to continue to occur, in the underdeveloped countries - the very same countries that are afflicted with poverty. This means that the situation, if not dealt World population passed 6 billion with effectively, will in 2000, up from 2.5 billion in 1950, and 4.4 billion in 1980. worsen, and all the global World population is projected to impacts will be magnified. grow to about 8 billion in 2025, to 9.3 billion in 2050, and eventually We are not discussing to stabilize between 10.5 and 11 issues that are to be billion. Almost all future realized in the distant population growth will occur in the developing world. future, or even 100 years from now. This population The world will eventually need to feed, house and support about 5 billion additional people. This increased population, combined with growth projection will be higher standards of living, particularly in the developing countries, reached by 2050 - less will pose enormous strains on land, water, energy and other natural than 50 years from the resources. -United Nations Critical Trends report time of this writing. The key word is “sustainable” - a form of assured growth We cannot expect impoverished and developing countries to spontaneously eradicate poverty on their own. There simply is no way for them to improve the situation with little or nothing at their disposal. Conversely, the sheer magnitude of the problem prohibits any solution to be practical if that solution relies solely upon the giving of immediate sustenance by foreign governments and organizations. In essence, the trouble looming over the world is just too big to handle without empowering these countries with the means to self-sustain their own programs for remedial change. The question becomes how to provide this empowerment to the developing countries - empowerment that assures the self-sustainable growth of all internal programs for infrastructure improvement and the elimination of the effects of poverty. The three key points - a viable path to solution Solving the primary problem of absolute poverty requires effective development of both economic and education enhancement programs. One cannot be done without the other. A viable economy needs educated people. Education cost must be paid by income gained from a functional, modern economy. A country with no economy equates to a country with no education, which 15 Perpetual Poverty Triad Profound Illiteracy Economic Deficiency Absolute Poverty Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 in turn sets up a cycle leading to perpetual poverty. Economic Development - the catalyst for poverty relief In order for any country to exit poverty, it must not only have a strong economy, but that economy must be sustainable into the future via the creation of an earthfriendly and dynamic infrastructure. This requires the ability to develop the natural resources of both their land and their people, and to become fully able to participate in the modern international arenas of commerce, technology, humanity, and responsible self-governance. Ratio of professionals to population - tough consequences of inaction When one considers the current ratio of professionals to population in the developing countries, one must also consider the effects of future population growth as projected for these countries. With most of the growth occurring in under-developed countries, it is not difficult to imagine the consequences. The ratio of trained talent that is now considered extremely low would be so deficient that no country could hope to break the poverty cycle. The Education Explanation Education is becoming increasingly important in our world today. With technological advances in the workplace, even more training and education will be required for most jobs. The cycle of education and poverty starts with knowing that high poverty rates have been linked to low levels of educational attainment. Likewise, low levels of formal education have been linked to low-wage earning jobs To complete the cycle, low wages have been linked to subsistence standards of living. This cycle can be seen in countries all around the world. -Excerpt from the United Nation Current efforts - recognition, strategy, multi-organizational approach These problems have been formally recognized by the United Nations, and not without inaction. Once the problems - and the complex ramifications - were understood, the countries of the world pulled together and initiated several programs for relief. Education and poverty alleviation were two key initiatives that were launched, among them: -The decade of poverty eradication (1997 - 2006) -The decade of literacy (2003 - 2012) These programs were designed to break the perpetual poverty cycle through the efforts of governments and nongovernmental organizations working hand-in-hand to achieve the goals. 16 The United Nations has declared the Decade of Literacy, vowing to provide primary education for all peoples by 2012. Many NGOs are working diligently in this area. This hard work will help build a solid foundation for which to build upon. Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 NGO involvement - critical partners in the effort Governments and nongovernmental organizations around the world are currently practicing two complementary philosophies: -For immediate survival, gifts of food, supplies, and medicine -For long-term survival, the education of adults and children Gifts and handouts, though vital to immediate survival, are an interim part of the solution, as the benefits are fleeting. Education is the single, most powerful act that can be directed toward breaking the poverty cycle. Together, these programs will lay the basic foundation for a future infrastructure. Each country must learn to utilize and develop its resources, and resources are not just the fruit of their land, but also, the fruit of their people. Beyond Literacy - A novel approach The gifted condition - a precious resource in every country Countries consist of people having myriad types of individual talents, capabilities, and goals. Since the wealth of any country lies with its people, it is essential to have the greatest diversity possible in order for a firm, self-sustaining infrastructure to exist. A country needs farmers, doctors, engineers, laborers and teachers, all of who uniquely contribute. All precious resources are rare While they firmly support education for all, the members of High IQ for Humanity concentrate their efforts on a specific subset of students - the precious few percent that have been identified as being intellectually gifted. We will concentrate our efforts in the developing countries around the world, in Eastern Europe, and in China. Our work will mesh smoothly with and ‘One can even call the twentieth century the Age of enhance the work of the UN and other Human Capital in the sense that the primary NGOs, while providing the intellectual determinant of a country's standard of living is how resources to further drive the infrastructure well it succeeds in developing and utilizing the skills, knowledge, health, and habits of its population. by way of exceptional talent. Approximately 2 out of every 100 children are gifted. Our job is to identify them and provide the means for them to develop their talents. Our students will be able to provide a vital resource - the human capital vital to infrastructure development, healthcare, and of course, education. 17 One of the traditional cases for liberal education is precisely that, in the long run, as economies change and we don't know what the future will bring, a broader education of general knowledge and skills is most effective in providing precisely that. So I don't think there is a conflict between the two. It is a shortrun versus a long-run.’ ~ Gary S. Becker HUMAN CAPITAL AND POVERTY ALLEVIATION By Gary S. Becker, Winner of the 1992 Nobel Prize Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 The work of High IQ for Humanity - a specialized initiative Some poverty alleviation plans disperse money - usually in the form of temporary sustenance such as food, shelter, clean water, and medicine. This is hard cash that is spent once, and never recovered. Yet this method alone will do nothing to help eradicate the problems of the future. Other alleviation plans focus on basic education. While both of these actions are desperately needed in the interim, more must be done to lay a path for the development of professionals and leaders. High IQ for Humanity’s methods and doctrine are not only unique; they actually capitalize on the United Nations’ concept of sustainability. High IQ for Humanity believes in the concept of sustainability and works to provide the human capital required for continual advancement. High IQ for Humanity provides developing countries with an exclusive form of sustainable help. While other organizations are providing the necessary basic education to the many, we will provide a specialized, advanced education to the few - to the future drivers of a country's infrastructure. The effective fulfillment of our program requires that we seek a pool of individuals who can move far beyond literacy, toward specialized knowledge and skill. The future leaders of the developing world will need more than basic literacy skills. They will need to master the higher order mathematics required in fields such as engineering and computer sciences, as well as the verbal abilities central to law and politics. Technique overview: - In the primary phase of education, High IQ for Humanity will identify and educate bright, gifted children in developing countries. We will also identify and groom prospective future teachers who will further propagate this unique education plan; thus, a built-in self-sustainability mechanism - and assured growth of the program itself. - In the post-secondary phase of education, and in cooperation with other NGOs, governments, and other institutions, we will provide or augment the scholarships that will allow our students to obtain college-level degrees and certification, with the end-goal of providing young adults with the basic tools they need to drive poverty out of their countries. The doctrine of HiQH - method, means, and resources 18 - Method: Provide for countries the human capital that will bolster the sustainable self-improvement initiatives required to beak the poverty cycle. - Means: Provide countries with the means to participate and compete in the worldwide arenas of commerce, technology, medicine, and progressive education. - Resources: Along with a basic curriculum, students will be taught the necessary international languages of commerce, law, and technology. These Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 children will be able to quickly assume the driving-force roles within their chosen fields. Eventually, leading teachers will produce more leading teachers, whom in turn will perpetuate knowledge and produce world-class businesspersons, doctors, engineers, agriculturalists, and more. The Direct Instruction System - the educational system of the future High IQ for Humanity projects will use the Direct Instruction education system, which was created and developed by Siegfried Engelmann, founder of the National Institute for Direct Instruction and a professor at the University of Oregon, whose School of Education is ranked 7th in the United States by U.S. News and World Report magazine. The High IQ for Humanity blueprint for growth Modernization of the Developing Country Perpetual Poverty Triad Profound Illiteracy Economic Deficiency Gifted Absolute Poverty High IQ for Humanity Sustainable Education of the Gifted Sustained Economic Growth Disseminated Benefits An effective tool backed by research and field-testing The Direct Instruction teaching method was developed through the use of extensive research and field-testing procedures in the largest program of its kind ever undertaken in the United States. This system was found highly effective, even within some of the nation's poorest schools, and is currently used to great effect in the United States, Canada, and Australia. Method Replication - the sustainability factor Available on CD Rom as well as printed format, the Direct Instruction method provides well-structured curriculum with consistent, repeatable results. The methodology of teaching with this system remains constant throughout all levels and all subject matter. This lends itself to High IQ for Humanity’s doctrine of sustainability, as the education method is easily replicable by students who have experienced it firsthand. 19 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 The program benefits - a win-win situation A program that supports sustainable poverty eradication is the ultimate goal and makes strong financial sense. The returns on investment of both time and money are unmatched - for the poverty stricken, for the developing nations willing to participate, for our world, and for the future of all our children - all around the globe. "Knowledge is the engine that drives economic growth, and Africa cannot eliminate poverty without first increasing and nurturing its intellectual capital." ~Dr. Philip Emeagwali Dr. Emeagwali, a member of High IQ for Humanity, holds several world records in computer engineering. He lectures extensively around the world. High IQ for Humanity is committed to leveraging all the sound avenues, opportunities, and disciplines - in concert with the diverse talents available within our organization - to produce the greatest impact to the worldwide imperative of sustainable development in countries of need. For more information, please visit our website at http://www.hiqh.org. 20 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 We are Just One In this silent night covered by shining stars I am thinking of you. In these timeless moments I am wondering about what you really mean to me, my love. There are no more clouds in my mind It is just your memories and me. You and me alone. I realize that you are like iced-water to my thirsty soul, That I need your love As I need fresh air to breathe. In this silent night covered with shining stars I imagine you sitting beside me and telling me nice things while we are watching the sky. In this silent night I remember how many times you stood by me when I needed you, how many times I have found comfort in your arms when I felt so blue. In this silent night covered with shining stars I remember you my love And I realize that we are one, just one. Hernan R. Chang 21 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Saddam Hussein is Captured in Operation Red Dawn By Robert Brizel In a small underground spider mud hole bunker 6 X 8 feet deep, on a farm near his hometown of Tikrit camouflaged with bricks and dirt and breathing through a specially constructed air shaft, a most unrecognizable grizzly bearded former Iraqi President Saddam Husayn Al-Tikriti was finally captured at 8:30 PM in the evening on Saturday, December 13, 2003 by coalition forces in Operation Red Dawn after several near misses. With a long salt and pepper beard and a sense of resignation, Saddam dug a hole in the ground and buried himself as forces of the U.S. led coalition authority closed in. Saddam will now face trial by: an Iraqi panel of judges authorized by the Iraqi National Congress; The United States; then international United National Court of the Hague; and a special tribunal consisting of an International Military War Crimes Tribunal. After capture, Saddam was photographed, shaved and given DNA tests to verify his identity. It appears likely, given captured documentation of the Ba’ath Party, that Saddam will first be tried in Iraq. He ruled the country for over 30 years, and became President of Iraq in 1979. After 23 years, he was overthrown in April 2003. His sons Udai and Qusai were killed by coalition forces. Saddam was found with two AK 47 rifles, a pistol, and 750,000 US dollars in cash - far less than the hundreds of millions his deceased sons had. Saddam was talkative and cooperative. He appeared haggard, dusty and tired when found hiding at 8:30 PM. Hussein was the # 1 most wanted Iraqi figure in a special deck of 55 most wanted Iraqi. Adnan Pachachi, member of the Iraq’s U.S.-appointed governing council, said Saddam’s capture will bring stability to Iraq, and in effect, signaled the beginning of the end of the anti-American holy war against coalition troops. “The state of fear, intelligence and oppression is gone forever. The Iraqi people are very happy and we look forward to a future of national reconciliation between Iraqis in order to build the new and free Iraq, an Iraq of equality.” Please note: for Saddam to be convicted on an international scale, it must be proven beyond a reasonable doubt that Saddam’s regime possessed the nuclear, biological and chemical weapons of mass destruction in violation of United Nations regulations which the United States claims. The Iraqi courts will try Saddam on evidence of substantial human rights violations within Iraq based on witnesses and documentation. Meanwhile, loyalists led by remnants of Saddam’s paramilitary Fedayeen unit may still continue insurgent terrorist attacks, using car bombs, grenade attacks, and rocket attacks on buildings, airplanes, and helicopter targets to inflict civilian and military casualties. 22 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 About a week before Saddam’s discovery, U.S. Forces began a new special project in and around Tikrit, Saddam’s hometown, entitled ‘Operation Red Dawn’, which sought to identify only low level bodyguards and cronies of Saddam. U.S. Forces then arrested their families and friends for interrogation, before apprehending some of the former low level bodyguards and Saddam sympathizers. One of these low-level bodyguards, under interrogation, identified two possible locations where one of Saddam’s personal bodyguards - and perhaps Saddam - could be hiding. Coalition forces then raided the locations, and, at one of them, beneath a pile of bricks on the ground at one farmhouse location, the last dreams of glory of the strongest leader of the radical Arab world since Nasser, the unshaven and crumbling ‘Tiger of the Tigress’, who built 55 palaces and vowed never to be taken alive, was finally captured. Abused as a child, abusive of his own Iraqi people, and in the end, a beaten, shattered shell and shadow of his former dictatorial self. He may believe he needed to stay in Iraq rather than flee because he still believes a trial will affirm his place as a great leader in history. The souls of those he tortured, gassed and killed during the many years of his regime demand justice. Much like Nuremburg, the living will speak for the dead in the very public trials soon to follow. Internet and television news sources were consulted for facts stated in this story on Saddam Hussayn Al-Tikriti, ex-Iraqi President, known in the west as ‘Saddam Hussein’. 23 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Pascal’s Wager and the Paradox of Kraïtchik By Albert Frank Recently, I was looking at the famous Pascal’s Wager. Pascal lived from 1623 to 1662. He was renowned as a French mathematician, physicist and philosopher. He invented the first calculator. I give it here. First the original text (in old French), followed by a translation (I think “not too bad, not too good”) that I found: Original text: Examinons donc ce point, et disons : Dieu est ou il n'est pas ; mais de quel côté pencherons-nous ? La raison n'y peut rien déterminer. Il y a un chaos infini qui nous sépare. Il se joue un jeu à l'extrémité de cette distance infinie, où il arrivera croix ou pile. Que gagerez-vous ? Par raison, vous ne pouvez faire ni l'un ni l'autre ; par raison, vous ne pouvez défendre nul des deux. Ne blâmez donc pas de fausseté ceux qui ont pris un choix, car vous n'en savez rien. - Non, mais je les blâmerai d'avoir fait non ce choix, mais un choix, car encore que celui qui prend croix et l'autre soient en pareille faute, il sont tous deux en faute ; le juste est de ne point parier. - Oui, mais il faut parier. Cela n'est point volontaire, vous êtes embarqué. Lequel prendrez-vous donc ? Voyons, puisqu'il faut choisir, voyons ce qui vous intéresse le moins. Vous avez deux choses à perdre, le vrai et le bien, et deux choses à engager, votre raison et votre volonté, votre connaissance et votre béatitude, et votre nature a deux choses à fuir, l'erreur et la misère. Votre raison n'est pas plus blessée, puisqu'il faut nécessairement choisir, en choisissant l'un que l'autre. Voilà un point vidé. Mais votre béatitude ? Pesons le gain et la perte en prenant croix que Dieu est. Estimons ces deux cas : si vous gagnez, vous gagnez tout, et si vous perdez, vous ne perdez rien ; gagez donc qu'il est sans hésiter. Cela est admirable. Mais je gage peut-être trop. Voyons : puis qu'il y a pareil hasard de gain et de perte, quand vous n'auriez que deux vies à gagner pour une, vous pourriez encore gager. Et s'il y en avait dix à gagner, vous seriez bien imprudent de ne pas hasarder votre vie pour en gagner dix à un jeu où il y a pareil hasard de perte et de gain. Mais il y a ici une infinité de vies infiniment heureuses à gagner avec pareil hasard de perte et de gain ; et ce que vous jouer est si peu de chose, et de si peu de durée, qu'il y a de la folie à le ménager en cette occasion. Translation : "God is, or He is not." But to which side shall we incline? Reason can decide nothing here. There is an infinite chaos which separates us. A game is being played at the extremity of this infinite distance where heads or tails will turn up... Which will you choose then? Let us see. Since you must choose, let us see which interests you least. You have two things to lose, the true and the good; 24 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 and two things to stake, your reason and your will, you knowledge and your happiness; and your nature has two things to shun, error and misery. Your reason is no more shocked in choosing one rather than the other, since you must of necessity choose... but your happiness? Let us weigh the gain and the loss in wagering that God is... If you gain, you gain all; if you lose, you lose nothing. Wager, then, without hesitation that He is. That is very fine. Yes, I must wager; but I may perhaps wager too much. Let us see. Since there is an equal risk of gain and of loss, if you had only to gain two lives, instead of one, you might still wager. But if there were three or even ten lives to gain, you would have to play (since you are under the necessity of playing), and you would be imprudent, when you are forced to play, not to chance your life to gain three or even ten at a game where there is an equal risk of loss and gain. But there is an eternity of life and happiness. When you look on the Internet, for instance with Google, using “Pascal’s wager” or “Pascal wager”, you find more than 10,000 articles ,a lot from logicians, who have tried to see what can be wrong in this wager. The interesting fact is that – from what I have seen – none of them made any comparison of Pascal’s Wager and Kraïtchik’s Paradox! Here I present Kraïtchik’s Paradox: More than twenty years ago, I read the book “La mathématique des jeux” of Maurice Kraitchik. (First edition: Imprimerie Stevens, Bruxelles, 1930; Second edition - which I have: Editions techniques et scientifiques, Bruxelles, 1953). It’s a fascinating book, with a lot of mathematical puzzles, considerations on magic squares, geometrical curiosities… Who was Maurice Kraitchik (1882 – 1957)? He was a Belgian mathematician (born in Russia) whose primary interests were the theory of numbers and recreational mathematics. On both subjects he published a lot. He wrote several books on number theory (1922-1930, and after the war), and was the editor of the periodical Sphinx (1931-1939), which was devoted to recreational mathematics. During World War II, Kraïtchik emigrated to the United States, where he taught a course at the New School for Social Research in New York City on the general topic of "mathematical recreations." Kraïtchik was « agrégé » of the free University of Brussels, engineer at the “Société Financière de Transports et d'Entreprises Industrielles (Sofina)” and director of the “Institut des Hautes Etudes de Belgique”. 25 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Among his books, I would like to mention: Kraïtchik, M. Théorie des Nombres. Paris: Gauthier-Villars, 1922. Kraïtchik, M. Recherches sur la théorie des nombres. Paris: Gauthier-Villars, 1924. Kraïtchik, M. Mathematical Recreations. New York: Dover, 1953. Kraïtchik, M. Alignment Charts. New York: Van Nostrand, 1944. In “La mathématique des jeux”, I considered for years one of the paradoxes he presents (page 133): “Deux personnes, également riches conviennent de comparer les contenus de leurs porte-monnaies. Chacun ignore les contenus des deux porte-monnaies. Le jeu consiste en ceci : Celui qui a le moins d’argent reçoit le contenu du porte-monnaie de l’autre. (au cas où les montants sont égaux, il ne se passe rien). Un des deux hommes peut penser : « Admettons que j’ai un montant de A$ dans mon porte-monnaie. C’est le maximum que je peux perdre. Si je gagne (probabilité 0.5), le montant final en ma possession sera supérieur à 2A. Donc le jeu m’est favorable…l’autre homme fait exactement le même raisonnement. Bien entendu, vu la symétrie, le jeu est équilibré. Où est la faute dans le raisonnement de chaque homme? » Two people, equally "rich" put their wallets on the table. Both don’t know the amount of money in each wallet. The game is: "the man who has the least money receives the money from the other" (if they have the same amount, nothing happens). One of the men may think: "I know I have an amount of A in my wallet. That's the maximum I can lose. If I win (probability 0.5), my final amount of money will be greater than 2A. So the game is in my favor"...the other man thinks exactly the same. Of course, because of symmetry, the game is equilibrated. What is wrong with the reasoning of the two men? I noticed that Martin Gardner, in “La magie des paradoxes” (Bibliothèque POUR LA SCIENCE - Diffusion Belin, extracts of Scientific American, 1975), page 114, gives the same problem, asking for an answer (« I was not able to solve it »). Martin Gardner (born in 1914) was the Mathematical Games columnist for Scientific American. He originated the column in 1956, and his columns appeared until his retirement from the magazine in 1986. He graduated Phi Beta Kappa from the University of Chicago in 1936. In her book “The power of logical thinking” (St. Martin’s Griffin Edition, 1997), Marilyn Vos Savant mentions Martin Gardner as being a very logical thinker. Some of his mathematical titles (published by several editors): The Scientific American Book of Mathematical Puzzles and Diversions. The Magic Numbers of Dr. Matrix. Fractal Music, Hypercards and More. 26 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Codes, Ciphers, and Secret Writing. In the first months of 2000, I put this paradox (which, afterwards, was called “Kraitchik’s paradox”, a “name” never used by Maurice Kraitchik!) in several magazines and on several lists. Marc Heremans did the same. As a result, we got more than 50 answers! Most of them did not find an answer, or were very poor. Finally, two articles came along, giving finally what I consider to be “The Solution”: One from Marc Heremans, and one from Erik Goolaerts. Also, Chris Langan wrote an interesting solution on: http://www.megafoundation.org/Ubiquity/Paradox.html Here is the solution found by Marc Heremans: Paradox, antinomy or sophism, I don’t know which term best describes this statement. Still, it generates the simultaneous feeling of admiration and incredulity, close to the one that one feels when a devious lawyer misleads his public while pleading brilliantly an already lost cause. We have the conviction of having been fooled, certainly, but the tracks are covered so finely that it is difficult for us to unmask the deception. The attempts to resolve the paradox, which call on the general laws of logic and simple “common sense”, are shown to be useless because they confirm a logical impossibility of which we are perfectly conscious but do not tell us where the error lies. Let’s try to understand why the reasoning is not correct. A visual representation in the form of a matrix will help. 27 The amounts of player A (a1, a2,….,an ) can be seen in the left column and the amounts of player B (b1, b2,…,bn) are shown in the top row The gains shown in the cells correspond with player A’s point of view (when he wins, he receives the amount of his opponent; when he loses, he only loses his amount) To simplify the presentation, we will assume that the amounts are in whole units (Euros, dollars, etc.) and that their distribution is uniform (a binomial distribution seems more realistic in practice, but does not change anything fundamental to the reasoning ; it makes it, merely, technically more difficult) Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Let us consider an uneven number of amounts (e.g. 5) in order to have a central value (a3=2 in the present case), the minimum amount (a1) being equal to 0 ; The last column shows the total of wins for each occurrence of the variable “a” (in brackets, the mathematical expectation “E”). 0 1 2 3 4 Total (E) 0 0 +1 +2 +3 +4 10 (2) 1 -1 0 +2 +3 +4 8 (1.60) 2 -2 -2 0 +3 +4 3 (0.6) 3 -3 -3 -3 0 +4 -5 (-1) 4 -4 -4 -4 -4 0 -16 (-3.2) Remarks about the matrix Notice (this will become important later) that the matrix is either symmetric or not, depending on the way you look at it. If one considers the amounts shown on either side of the diagonal made up of the zero wins/losses, one can note that the matrix is perfectly symmetrical, each positive value being matched with an equivalent negative value. All the mathematical expectations are complementary and cancel each other out. In half of the cases, the “game” is favourable for A; in the other half, it is favourable for B. The number of winning positions is the same as the number of losing ones and the losing amounts are equal to the winning ones. A second approach consists of no longer looking at all the possible occurrences, as above, but to regroup the data, taking into consideration the regression of the “ai” on the bi For each occurrence of “a”, we associate its average expectation of gain. Therefore, we are 28 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 interested, in order of priority, in the first (a1,…,an) and the last column (E1,...,En). Seen from this angle, the matrix is no longer symmetrical. The expected values vary greatly from one amount ai to another. The number of winning positions is even superior to the number of losing ones! On the other hand, the amounts of the losses are greater than the amounts of the gains. We can note that the mathematical expectation of A is clearly positive when he holds an “average” amount! The reasoning proposed by A (refer to Albert Frank's previous article): “if I win – probability 0.5 – the final amount in my possession will be greater than 2A,” shows itself to be correct for the specific case of an average amount, but cannot be generalised. Actually, the fact of winning on average when you hold an average amount does not at all mean to win “on average” in all possible cases. That would be to ignore the totally asymmetrical shape of the distribution of wins and losses around the average amount. In extreme situations, the wins and losses are not balanced. A loses much more when he is in possession of a high amount than he would win when he owns a small amount. Conclusion A’s error consists of reasoning that does not take into account alternative groupings of the data he uses. He goes from one grouping representation to another, transposing surreptitiously conclusions that could be drawn from the other. By itself, no grouping is “better” than any other, but if one accepts a reading of the matrix based on the second approach (asymmetrical), it is necessary to take into consideration the unequal values of the expectations resulting from the grouping of the amounts that were used in that line of reasoning. And it is quite easy to see that Pascal’s wager and Kraïtchik’s paradox are nearly the same, with a totally similar structure. Because of this similarity, what we can now call "The Paradox of Pascal" can be solved in the same way that Marc Heremans and Erik Goolaerts solved the Parodox of Kraïtchik. Without knowing they were, they have solved a *very* old paradox. 29 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 This is a *very* good example of how a problem can be sometimes solved because there is an isomorphism with another problem that has been solved before. In the same way that it has been demonstrated, in the Kraïtchik's paradox, that when one of the players says "it is in my favour", he is wrong (and the bet is equilibrated), we can say that Pascal was wrong when he said "you must wager for the existence of god" - He made the same mistake when looking at the expectation - and the bet is equilibrated (you don't lose (or win) more - if you lose - betting against his wager – that you would lose (or win) betting for it). 30 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Método para aprimorar a acurácia na determinação das distâncias de estrelas Por Hindemburg Melão Jr. Antes de ler esse artigo, é necessário saber o que é paralaxe e o que são classes espectrais. Também convém ter noções básicas sobre estatística e astrofísica. O que é paralaxe: http://instruct1.cit.cornell.edu/courses/astro101/java/parallax/parallax.ht ml O que são classes espectrais: http://www.physics.gmu.edu/classinfo/astr103/CourseNotes/str_hr.htm A paralaxe é um método trigonométrico simples usado para calcular distâncias astronômicas há pelo menos 2150 anos e é usada para distâncias de estrelas há mais de 150 anos. Continua sendo usado em todos os observatórios do mundo (inclusive telescópios em órbita, como o Hubble) para calcular as distâncias dos objetos próximos, como estrelas situadas a menos de 5.000 anos-luz. Em 1990, a Agência Espacial Européia (ESA http://sci.esa.int) colocou em órbita o telescópio Hipparcus, cujo nome é uma homenagem ao astrônomo grego que foi o primeiro a calcular a distância de um astro (a Lua) usando paralaxe. A finalidade da missão Hipparcus é justamente medir as distâncias das estrelas vizinhas. Embora o método da paralaxe seja excelente, quando é usado para a determinação das distâncias de estrelas, existe uma maneira de obter acurácia muito superior ao “método cru”. Para compreender melhor esse processo, convém dar uma olhada no artigo de nosso amigo Albert Frank http://users.skynet.be/albert.frank/interpstat.htm. Segue um resumo da idéia abordada no artigo: Mais de 95% dos médicos formados em Harvard resolvem incorretamente o seguinte problema: “Desejamos saber se uma pessoa é portadora de uma determinada doença e temos um teste com 99% de confiabilidade, que é usado para determinar se uma pessoa tem a tal doença. Então escolhemos fortuitamente uma pessoa numa população em que há 1% de infectados e aplicamos o teste nessa pessoa. O resultado é positivo. Qual é a probabilidade de que a pessoa escolhida esteja de fato com a doença? Os médicos quase sempre respondem 99% ou algo assim, mas a resposta certa seria 50%, porque não se pode apenas levar em conta a probabilidade do teste produzir resultados corretos. Além disso é necessário levar em conta a probabilidade de que a 31 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 pessoa escolhida estava infectada. A probabilidade da pessoa não estar infectada numa população em que 99% não estão infectados é obviamente de 99%. A probabilidade do teste dizer que a pessoa tem a doença e a pessoa realmente ter a doença também é de 99%. Então são iguais as chances da pessoa estar infectada ou não estar infectada, ou seja: meio a meio. Agora vejamos como os cálculos das distâncias das estrelas podem ser aprimorados: a paralaxe que o satélite Hipparcus mediu para Mu Cephei é p=0,00062" com std. err. 0,00052" (1 std. err. = 0,6745 sd). Esses dados sugerem que: Há 25% de probabilidade de que a verdadeira paralaxe seja menor que 0,00010”. Há 25% de probabilidade de que a verdadeira paralaxe seja maior que 0,00114". Mas isso é falso, porque indica que há 21,06% de chances de que a paralaxe seja menor que 0”. Aqui convém fazer um comentário adicional: em todos os casos como esse, em que a incerteza é tão grande quanto a própria grandeza medida, a incerteza deveria ser expressa em log(p), porque uma paralaxe negativa não faz sentido. Então a paralaxe e sua incerteza deveriam ser representadas por: log(p)=-3,2076, log[std. err.(p)]=0.2645 e haveria 25% de chances de a paralaxe ser maior que 0,00114” (0,00062*1,84) e 25% de chances de ser menor que 0,00034” (0,00062/1,84). Claro que isso não poderia ser simplesmente expresso assim. Antes de usar logs, seria preciso que a coleta dos dados fosse feita calculando as incertezas nos logs das paralaxes, em vez das incertezas nas próprias paralaxes, além disso a incerteza deveria ser expressa como std. err. no log(p), em vez de log do std. err.(p). Mas esse não é o ponto chave. O detalhe mais interessante é que há 25% de chances da paralaxe ser maior que 0,00114” e isso é muito maior do que a probabilidade de uma estrela escolhida fortuitamente ter luminosidade maior que a de Mu Cephei. Em outras palavras, com base na medida do Hipparcus, há 50% de chances de que a verdadeira paralaxe de Mu Cephei seja maior que 0,00062” e 50% de chances de que seja menor que 0,00062”. Mas, com base na distribuição estatística das estrelas em função da luminosidade, dentro da classe espectral observada, há 5% de chances de que uma estrela escolhida fortuitamente numa população de supergigante M2 tenha luminosidade igual à que Mu Cephei teria se estivesse à distância correspondente a uma paralaxe menor que 0,00062” e há 95% de chances de que uma estrela tenha luminosidade igual a que Mu Cephei teria se estivesse à distância correspondente a uma paralaxe maior que 0,00062” (estou supondo que a luminosidade bolométrica média das estrelas M2Ia é cerca de 10.000 vezes a do sol). Logo, é cerca de 20 vezes mais provável 32 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 que a paralaxe de Mu Cephei seja maior que 0,00062” do que a probabilidade de ser menor que 0,00062”, então é claro que 0,00062” não é o valor que melhor representa a paralaxe “verdadeira”. Para determinar com mais exatidão a paralaxe mais provável _ isto é, aquela em que haja 50% de chances do valor verdadeiro ser maior e 50% de chances de ser menor _, é necessário encontrar a distância na qual a probabilidade da estrela ter tal luminosidade acima ou abaixo da média seja igual à probabilidade da paralaxe estar tantos desvios-padrão abaixo ou acima da paralaxe medida. No caso de Mu Cephei, para que a paralaxe fosse 0,00062”, ela deveria estar a 5.260 anos-luz de nós e, se estivesse a essa distância, ela teria luminosidade visual 55.000 vezes maior que o Sol e luminosidade bolométrica 580.000 vezes maior que a do Sol. Se a paralaxe medida estivesse certa, Mu Cephei seria 58 vezes mais luminosa que a média de sua classe e, portanto, 20 vezes mais rara. Considerando isso, temos que a paralaxe mais provável de ser correta é 0,00144”. Esse valor é 5,4 vezes mais provável de ser correto do que 0,00062”. Então a distância mais provável para Mu Cephei é 2.265 anos-luz, mais preciso e mais acurado que o valor oficialmente adotado (5.260 anos-luz). O método que proponho não se aplica apenas nos casos das estrelas cujas incertezas nas paralaxes sejam tão grandes quanto as próprias paralaxes, mas em todos os casos. Claro que a principal vantagem é corrigir disparidades nos casos em que há grande incerteza, mas o método também ajuda a refinar todos os outros cálculos. Para Sírius, por exemplo, cuja paralaxe é conhecida com boa precisão, o Hipparcus dá p=0,37921" com std err.=0,00158". Uma estrela do tipo A0/A1, como é o caso de Sírius A, tem, em média, magnitude absoluta 0.85, mas Sirius A tem magnitude 1.45, portanto ela é 1,74 vezes menos luminosa que a média de sua classe espectral e tem massa 1,15 vezes menor que média de sua classe, logo ela tem vida 1,5 vezes maior que a média de sua classe e podemos supor que seja 1,5 vezes mais abundante do que a média da classe A0/A1, portanto, para que ela tivesse abundância igual à média, deveria estar um pouco mais distante. Então a paralaxe que tem maior probabilidade de ser correta não é 0,37921”, mas cerca de 0,26sd maior, ou seja: 0,37860" (1,2 vezes mais provável que 0,37921”). Para os sistemas binários e múltiplos, o cálculo de correção pode ser feito individualmente, para cada componente, e depois usada a média ponderada como distância mais provável. A mesma idéia pode ser aplicada também em outros métodos para determinar distâncias. Por exemplo: se um quasar apresenta desvio para o vermelho muito pequeno e a incerteza nesse desvio é grande, então podese situá-lo mais longe com base na raridade de quasares pouco luminosos, usando o mesmo critério. 33 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Apêndice 1: A luminosidade visual é determinada pela quantidade de energia que uma estrela emite no espectro visível (entre 360nm e 780nm). A luminosidade bolométrica é determinada pela quantidade total de energia que uma estrele emite. O Sol, por exemplo, emite 91% de sua energia no espectro visível e 9% de energia invisível (ultravioleta, infravermelho, raios-gama, raios-x etc.). Uma estrela azul da classe O5 emite apenas 2,6% na faixa visível e dos 97,4% restantes quase tudo é em ultravioleta ou em comprimentos mais curtos. Uma estrela vermelha da classe M5 emite 2,9% na faixa visível e dos 97,1% restantes quase tudo é em infravermelho ou em comprimentos mais longos. Portanto a quantidade total de energia consumida pode ser muito diferente daquela que é observada visualmente. Apêndice 2: A massa das estrelas é proporcional a raiz quarta da luminosidade e o tempo de “vida” de uma estrela depende da quantidade total de combustível nuclear (massa) e da quantidade de combustível consumido por unidade de tempo (luminosidade). Então se a massa de uma estrela for 10 vezes maior que a massa do Sol, a luminosidade dessa estrela será 10.000 vezes maior que a do sol e a expectativa de vida será 1.000 vezes menor que a Sol, pois terá 10 vezes mais combustível, porém consumirá esse combustível a um ritmo 10.000 vezes mais rápido. Se a expectativa de vida é 1.000 vezes menor, então deve ser 1.000 vezes mais rara. Claro que não é tão simples, porque as estrelas são “recicladas” depois de “morrer” e isso altera as probabilidades. Além disso, nem toda a massa da estrela é usada como combustível, portanto a proporção entre a massa total e a quantidade total de combustível nunca é perfeita. Mas, grosseiramente, a abundância relativa de estrelas com luminosidade L é inversamente proporcional a L^0.75. 34 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Gravitação Quântica Atrativa, Repulsiva e Neutra Introdução Por Hindemburg Melão Jr. Quando Newton formulou a Teoria da Gravitação Universal, ele estabeleceu uma relação entre gravidade e massa e também postulou que a gravidade é sempre atrativa. Ele fez isso porque todas as experiências indicavam que a gravidade tem efeito exclusivamente de atração, e essa era a melhor hipótese a ser adotada, por ser a mais simples e por ser suficiente para explicar os fenômenos observados naquela época. Ele relacionou a gravidade à massa porque não eram conhecidos corpos sem massa, por isso, ao dizer que a gravidade atua entre corpos com massa, ele julgava estar dizendo o mesmo que se dissesse que a gravidade atua entre quaisquer sistemas de corpos (com e sem massa). Newton estava certo em suas idéias, porém ele não dispunha das informações necessárias para formular uma teoria capaz de prever fenômenos que só seriam descobertos vários séculos depois. O que eu pretendo fazer é propor um modelo de gravidade atrativa, gravidade repulsiva e gravidade neutra, e veremos que este modelo permite explicar todos os fenômenos tão bem quanto o modelo vigente e mais alguns fenômenos que o modelo clássico não é capaz de explicar, como por o exemplo o motivo pelo qual a força gravitacional é muito mais fraca que as outras forças. Hindemburg Melão Jr. São Paulo, 12 de julho de 2002 Teoria Geral da Gravidade Suponhamos a existência de uma unidade fundamental de massa, que chamaremos “u.m.f.”. Em princípio, vamos admitir que essa unidade deve ser muito menor que a massa do elétron, de modo que os elétrons e quaisquer outros léptons, bem como mésons, bárions e híperons tenham massas tais que sejam múltiplos inteiros da u.m.f. Para tanto, a u.m.f. deve ter no máximo 10^-7 da massa do elétron (provavelmente é muito menos que isso). Cada u.m.f. terá uma unidade de “massa inercial”, que chamaremos “m”, e uma “carga gravitacional”, que pode ser atrativa, repulsiva ou neutra, as quais chamaremos respectivamente “G+”, “G-“ ou “G0”. A maneira como essas “cargas” atuam não deve ser interpretada da mesma maneira que acontece às cargas elétricas, em que opostos se atraem e semelhantes se repelem. Em vez disso, os corpos com carga gravitacional atrativa vão sempre atrair outros corpos, tenham eles cargas atrativas, neutras ou 35 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 repulsivas. Quando um corpo tiver carga atrativa e outro tiver carga repulsiva, prevalecerá a força com maior intensidade. Se forem intensidades iguais, permanecerão em equilíbrio. Os corpos que têm massa inercial podem ter carga G+, G- ou G0. Os corpos que não têm massa inercial (ex.: fóton) terão necessariamente carga G0 ou G-. À medida que a teoria for testada, se houver necessidade podemos aprimorar essa hipótese, considerando, por exemplo, que podem existir cargas G+2, G+3, G-2 etc., ou considerando que além das partículas sem massa inercial terem carga G0, também algumas partículas com massa inercial podem ter obrigatoriamente carga G0. Esse ponto da teoria fica aberto até que dados empíricos indiquem qual a representação mais promissora. O conceito que vamos adotar para massa inercial é: quantidade total de matéria de um corpo. O conceito que vamos adotar para massa gravitacional é: propriedade da massa inercial que pode atrair, repelir ou ter efeito neutro. Vamos considerar que toda massa inercial tem vinculada uma carga gravitacional G+, G- ou G0, de modo que o número total de unidades de massa inercial de um corpo será sempre igual à quantidade de cargas G+, G- e G0 desse corpo. A quantidade de massa inercial determina a tendência de um corpo para permanecer em repouso ou em movimento retilíneo uniforme. Quanto maior for a massa inercial, tanto maior deverá ser a força aplicada a essa massa para causar uma alteração delta-x em seu estado inicial (de repouso ou de movimento retilíneo uniforme). A carga gravitacional determina a intensidade do campo gravitacional gerado nas circunvizinhanças desse corpo, prolongando-se até a distância em que seus bósons mediadores puderem atingir durante suas meias-vidas. Em princípio, vamos supor que esses bósons sejam estáveis e tenham velocidade infinita, ou pelo menos sejam mais velozes que a luz no vácuo. Obviamente esses bósons (para os quais podemos aceitar o nome tradicional de “grávitons”) não podem viajar à velocidade menor que ou igual à da luz no vácuo, porque se fosse assim eles não conseguiriam escapar em quantidade significativa das ergosferas de buracos-negros, e se os buracos-negros não emitissem grávitons, não exerceriam efeito gravitacional. Portanto, se os grávitons forem estáveis ou se tiverem velocidade infinita (ou as duas coisas), a força gravitacional de cada corpo do universo poderá ser sentida em todos os outros corpos. Se essa hipótese se verificar inadequada, deve ser aprimorada para ajustar-se aos dados empíricos. 36 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Quanto maior for a diferença entre o número de cargas gravitacionais G+ e G- de um corpo, tanto maior será a aceleração gravitacional exercida por ele. Por exemplo: um corpo com 100G+, 100G0 e 95G- terá massa inercial 295 e atrairá com intensidade maior que outro corpo com 200G+, 201G0 e 199G- e massa inercial 600. Portanto nem sempre o corpo com maior massa (inercial) terá maior massa gravitacional. Para corpos grandes, com 10^40 u.m.f., por questões estatísticas, as quantidades de G+, G0 e Gapresentarão pouca variação de um corpo para outro. Se um corpo com 10^40 u.m.f. tiver 33,4% de G+, 33,3% de G0 e 33,3% de G-, é muito improvável que outro corpo com 10^40 u.m.f. tenha 33,400001% de G+ ou algo maior que isso. Mas em corpos pequenos as variações podem ser bastante acentuadas. Suponhamos que num corpo com 3*10^60 u.m.f haja: (10^60 + 10^15) G+ (10^60) G0 (10^60 - 10^15) Ge num corpo pequeno (nível quântico), com 300 u.m.f. haja 108G+, 103G0 e 89G-. Nesse corpo pequeno a relação entre massa gravitacional e massa inercial será 10^43 vezes maior que num corpo de proporções planetárias ou estelares ou qualquer outro corpo macroscópico. Ou seja, a força gravitacional com que o corpo de 300 u.m.f. vai atrair outros corpos será 10^43 vezes mais intensa do que seria esperado no caso dele contar com uma distribuição de G+ e G- equivalente à que ocorre em corpos grandes. Obviamente uma força tão intensa deveria ser detectada em nível quântico, e de fato pode ser que já esteja sendo detectada há várias décadas, porém não foi reconhecida como sendo a força gravitacional. Se retroagirmos aos primórdios do universo (se é que houve um primórdio), teremos uma situação inicial com corpos de carga G+, G0 e G- isolados. Como os corpos com G- repelem tudo, eles têm uma tendência maior a permanecer isolados, enquanto os G0 tem uma tendência intermediária e os G+ tem uma tendência para se unir. Um G+ não se une a um G- exceto por colisão, porque a força atrativa do G+ é contrabalançada pela força repulsiva do G-, mas um G+ atrai outros G+ e também atrai outros G0. Depois que alguns G+ se unirem, eles passarão a atrair com intensidade maior que a força repulsiva de um G- isolado, portanto serão capazes de atrair também esses G-, e progressivamente os corpos vão se formar reunindo maior quantidade de G+, quantidade um pouco menor de G0 e quantidade ainda menor de G- (isso se todos forem igualmente abundantes). Se os G0 forem mais abundantes, então os corpos serão predominantemente formados por G0, em seguida por G+ e por fim por G-. A hipótese mais interessante é se os G- forem mais abundantes, porque mesmo assim eles representarão minoria nos corpos grandes, mas permanecerão espalhados por todo o espaço “vazio”, provocando o efeito repulsivo descoberto recentemente. Em outras palavras, as partículas G- formam a matéria escura. 37 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Os blocos constituídos por G-, do tipo (3G-) ou (2G0 e 1G-), podem se formar por colisão ou por influência de outras forças, mas, no que respeita à gravidade, serão blocos instáveis e se não houver outras forças atuando eles, logo eles serão fragmentados, expelindo as cargas G- excedentes e tornando-se neutros ou atrativos. Como conseqüência, os corpos grandes terão probabilidade reduzidíssima de ter carga global repulsiva. Uma ilustração conveniente: Dada uma superfície lisa, quase sem atrito, na qual estejam presentes duas pessoas, A e B, ambas com forças iguais e massas inerciais iguais, cada pessoa situada sobre uma plataforma plana, de massa desprezível, que reduz ainda mais o atrito com a superfície do chão, sendo que A empurra B, e B puxa A. Se os vetores das forças forem diametralmente opostos, o resultado será que as duas pessoas permanecerão em posições inalteradas, uma em relação à outra. Mas se uma terceira pessoa C, com força e massa inercial iguais às de A, subir em qualquer das duas plataformas e começar empurrar quem ficou na outra plataforma, então as plataformas vão se afastar uma da outra, sendo que a plataforma que ficou com apenas uma pessoa (por ter metade da massa inercial da outra) vai sofrer o dobro do efeito dinâmico da plataforma que ficou com duas pessoas. São basicamente esses os efeitos de G+ e G-. Durante o processo, quando as cargas G+ forem mais numerosas que as G-, as forças combinadas farão com que uma se desloque em direção à outra, produzindo a falsa impressão de atração recíproca. Tanto faz se os dois blocos são (10G+ 2G-) e (1G-) ou se são (10G+) e (3G-) ou qualquer outra combinação. A intensidade sempre será o resultado da diferença dos totais de G+ e G-. Em nível quântico, uma partícula com carga G+ terá muito maior chance de se unir a outra G+ do que a um G-, e uma carga G- terá muito maior chance de se unir a uma G+ do que a outra G-. Mas os blocos grandes de G+ tentem a ter quase igual probabilidade de atrair outras G+, G- ou G0. Isso é evidente, porque um bloco com 1000000G+ atrairá outra G+ com intensidade 1000001/R^2 e atrairá uma G- com intensidade 999999/R^2, ou seja, com força apenas 0,0002% mais intensa, porém um bloco com 3G+ atrairá outra G+ com intensidade 4/R^2, mas atrairá uma G- com intensidade de apenas 2/R^2, ou seja, com força 100% mais intensa. Quanto maior o corpo, maior a probabilidade de que ele reúna uma quantidade de G+, G- e G0 na mesma proporção em que essas cargas ocorrem no universo (exceto se G- for mais abundante que G+). Se as quantidades de G+ e Gforem iguais ou quase iguais, então a predominância de G+ em escala humana ou em escala astronômica pode ser de apenas (1+10^-40 para) 1. Isso significa que um corpo com massa de 10^45 u.m.f. (digamos: 1kg), pode ter apenas 10^5 cargas gravitacionais! Ou seja, a força gravitacional pode 38 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 ser 10^40 vezes mais intensa do se julgava, mas causa a falsa impressão de ser muito mais fraca que as outras interações devido ao fato de estar erroneamente associada à quantidade total de massa e ser considerada exclusivamente atrativa. O conceito de “força gravitacional” precisa ser reformulado em mais alguns pontos: Vamos tratar sempre de “aceleração”, em vez de “força”, porque a força implicaria produto de massas, e isso não pode ser feito, porque se uma das massas for zero, ocorrerá ausência de interação, mas sabemos que isso não é verdade, porque fótons interagem normalmente com corpos massivos, por influência da “aceleração gravitacional” desses corpos massivos (não pela “força gravitacional”). Logo, a idéia de produto de massas é incorreta e precisa ser abolida. A força de atração resulta do produto das massas, mas a aceleração requer a existência de uma única massa, portanto a aceleração gravitacional de um corpo pode influir na trajetória de um outro corpo independentemente desse outro corpo ter massa. Isso explica a curvatura da luz observada nas proximidades de corpos massivos e dispensa parte da Teoria da Relatividade. Pois um fóton pode ter carga gravitacional G0 ou G- e pode ser atraído por corpos grandes com carga G+. Comentários finais Não há razão para supor que as intensidades das forças de G+ e G- sejam iguais, nem mesmo que dois G+ diferentes tenham mesma intensidade, mas num primeiro momento vamos usar essa hipótese para simplificar a teoria. O modelo pode funcionar perfeitamente com G+ e G-, sem necessidade de cargas G0, mas tendo em conta fenômenos que futuramente sejam descobertos, convém não descartar a possibilidade de partículas com carga gravitacional G0. Depois de esboçar esse modelo, fiz uma busca no Google por “gravidade repulsiva”, não tinha muita esperança de encontrar alguma referência em português, mas surpreendentemente encontrei 6 referências. Consta que 65% a 70% do universo é constituído por matéria repulsiva. Muito provavelmente isso é errado. O que presumem ser 65% de massa inercial deve ser apenas 65% de massa gravitacional, ou seja: algo em torno de 10^40% do total de massa inercial, um pequeno resíduo de G-, mas em estado “puro” (não misturado com G+ que atenuaria sua intensidade) e com força repulsiva suficiente para produzir o efeito observado. É possível que a força gravitacional não seja propriamente 10^43 vezes mais intensa do que se supõe, mas “apenas” 10^30 ou 10^20, ou talvez seja mais intensa, como 10^50. Minha hipótese de 10^43 (ou 10^39, ou 10^41, dependendo do par de partículas consideradas) é apenas para situá-la 39 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 aproximadamente no mesmo nível das demais forças, mas quem vai determinar essa grandeza são as experiências. Eu acredito que o mais importante no momento é fazer experiências em alto vácuo (preferencialmente na Lua) para determinar o valor de G usando massas tão pequenas quanto possível. Pois o valor de G deve apresentar variações maiores em massas menores (quanto menor for a grandeza das massas, maior será o desvio-padrão no valor de G). Isso acontece porque é maior a amplitude de variação na quantidade de G+ e G- em corpos pequenos (ex.: 10^5 partículas) do que em corpos grandes (ex.: 10^60 partículas), pois a “aleatoriedade” afeta mais sensivelmente grupos com pequena quantidade de elementos. Outra constatação que pode ser feita medindo o valor de G é que corpos pequenos (ex.: 10^5 partículas) terão, em média, maior percentagem de G+ do que corpos grandes (ex.: 10^60 partículas), logo, em corpos pequenos a constante G deve parecer mais intensa do que em corpos grandes. Determinar G usando massas conhecidas muito grandes e muito pequenas deve permitir verificar se essa previsão procede, no entanto a medida de G é demasiado imprecisa e talvez demore muito tempo para testar a validade dessa teoria. Existem algumas experiências cujos resultados talvez ajudem a corroborar minha teoria, como as variações nos valores de G muito maiores que os desvios-padrão calculados pelos experimentadores. A explicação para essas variações, se minha teoria estiver correta, pode ser devido ao fato de que em corpos pequenos as proporções de G+ e G- variam mais que nos corpos grandes, portanto os cálculos sobre as perturbações causadas pelas massas circunvizinhas, feitos com base na hipótese de que massas inerciais iguais exercem forças gravitacionais iguais, estão errados e não proporcionaram uma idéia adequada sobre a ordem de grandeza da influência das pequenas massas próximas. Mas mesmo as pequenas massas macroscópicas são demasiado grandes em comparação a u.m.f. (pelo menos 10^30 vezes), de modo que isso implicaria uma extraordinária abundância de G0, algo como 10^25 ou 10^30 G0 para cada G- ou G+. Se for assim, significa que a maior parte do universo é constituída por partículas com carga gravitacional G0, que tem massa inercial, mas não exerce nenhuma atração gravitacional. Uma fração muito menor (cerca de 10^30) é constituída por G-, que exerce repulsão e permanece esparramada pelo universo, cada partícula vagando isoladamente. Uma fração ainda menor é constituída por partículas G+, que exercem atração e reúnem-se para formar imensos blocos contendo G+, G- e G0, sendo cerca de 10^30 G0 para cada G+ e aproximadamente 1 G+ para cada G- (sempre um pouco mais de G+, caso contrário o bloco seria instável). Por outro lado, se for constatado que as variações nas medições de G resultam de outros fatores, então podemos usar a teoria (que me parece mais elegante) em que G+, Ge G0 existem aproximadamente em iguais proporções. Se a quantidade de G+ for 1+10^-40 vezes mais abundante que a de G(1,000.000.000.000.000.000.000.000.000.000.000.000.0001 G+ para cada G-), a 40 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 força gravitacional entre os corpos de grande massa (laranjas, planetas, galáxias etc.) terá uma constante gravitacional “G” cerca de 10^40 vezes menos intensa que a constante “G” em nível quântico. Outras proporções de G+ e G- em diferentes situações também podem produzir resultados similares. Por exemplo: se G- for mais abundante no universo que G+, a quantidade de G+ num corpo grande tende a ser um pouco maior que a quantidade de G-. À medida que a massa cresce, a quantidade de G+ pode convergir para 0,5 ou para um número um pouco maior que 0,5 (por exemplo: 0,500.000.000.000.000.000.000.000.000.000.000.000.00005), dependendo de vários fatores, entre os quais as abundâncias relativas. As determinações dessas proporções só podem ser feitas empiricamente. Se essa teoria for medianamente correta, significa que o universo é um caldo de partículas G- espalhadas por todo o espaço, mais ou menos uniformemente, concentrando-se nas proximidades dos grandes corpos carregados com G+ (planetas, satélites, estrelas, galáxias etc.) e produzindo a expansão do universo. Uma outra possibilidade que deriva da mesma idéia é que cada partícula (lépton ou quark) pode ter uma carga gravitacional. Se for assim, corpos com mesma massa formados por substâncias diferentes devem gerar campos gravitacionais com intensidades diferentes. Isso poderia explicar também a hipotética força bariônica, descoberta no início dos anos 1990, mas não confirmada, e poderia explicar (e prever) uma larga variedade de outros fenômenos, porque uma gravidade atrativa / repulsiva é muito mais versátil que a gravidade exclusivamente atrativa. Uma nota conveniente: durante o processo de atração, embora as cargas G+ estejam atraindo as cargas G- e estas estejam repelindo as cargas G+, as massas inerciais de cada bloco farão com que uma se desloque em direção à outra, produzindo a falsa impressão de atração recíproca. É como pessoa que está uma puxando a outra sobre uma superfície com pouco atrito. Tanto aquela que está passiva sendo puxada, como aquela que está executando a ação de puxar, ambas vão se mover uma em relação a outra. Se uma delas estivesse empurrando a outra com força menor do que aquela que está puxando, o efeito também seria esse. Hindemburg Melão Jr. [email protected] Última revisão: 11 de fevereiro de 2003 41 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Die Laughing I can think of no better way to go: My body becomes a bottle uncorked. Giggles rise like bubbles. Lips ring like the rim of a champagne flute rubbed the right way by wet fingertips. Tickled to death, my essence, fermented, foams in my head. My tongue is my springboard. I dive up, spiraling to corkscrew galaxies. On the surface of the cosmos, I bob like a cork a brown dwarf amidst the stars, the blazing buoys of eternal laughter. Kay Lindgren 42 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 The One-Legged Plover I mope along the water's edge and brood on feelings of inferiority. I tint the waves to match my cobalt mood. I long to drown in my self-made blue sea. The plovers come. One hops on its right leg, lame limb akimbo under its left wing. It mines damp sand for supper, does not beg from abler birds. And still, I think, Poor thing. It does not know self-pity - just the need to keep up with the flock - and this it does, hopping along at their frenetic speed, not brooding on a nest of sterile woes. It does not think, I'm not as good as you... I'd give a leg to be a birdbrain, too. Kay Lindgren Take Note1 On Christmas morning Santa leaves you this note: What does it mean? Lloyd King 1 Answers to the puzzles will be published in the next issue of Chiaroscuro. 43 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Symbolism Move one letter or symbol so that both sides of this equation are equal. X+X=O To Catch a Thief Someone has stolen a precious diamond. Under suspicion are Susan, Agnes, Nancy, Simon and Tommy. One of them is definitely guilty. Look over this puzzle carefully. Eventually you will find the culprit. It is very obvious. Too obvious some might say. ????? STOLE IT Unknown Quantity Every one of the little folk, who live at the end of Amy’s garden, is either a Trooth Fairy, who never lies, or a Storyteller, who always lies. One summery afternoon Amy notices seven little folk sitting under a shady toadstool. After gently introducing herself, she asks each one of them how many of them are Trooth Fairies. Three say "three", two say "two", one says "one" and the remaining one says "zero". Since it is impossible for her to figure out an answer from their replies, she asks her good friend Barney the owl, who never lies, if he knows how many Trooth Fairies there are in the group. "Yes!" he says, "There is...". Unfortunately, the number he gives at the end of his sentence is drowned out by Amy’s dog Cacophony, who suddenly appears on the scene and starts barking, causing Barney to fly away. Consequently, Amy still doesn’t know the answer to her question. Can you tell her how many Trooth Fairies are sitting under the toadstool? Lloyd King 44 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 The Wolf at the Door Lloyd King Forest of the Abandoned Lloyd King 45 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Hypnosis (Fractal) Maria Claudia Faverio Tristesse Maria Claudia Faverio 46 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Blue Maze Slangs of memories scoff at the outrage of the years, the underlying urge to survive the moment’s whims, the skilled excuses to force transitoriness into permanency, like a diary. Beyond the polka dots of existence, hands search, try to grasp, recede when they encounter another hand, yielding to the intricate evasions of solidarity, the blue maze with its own blue sun. Solidarity - taboo word translated into myriads of innuendoes and still not understood, like a god hiding his tired eyes behind a mask. These memories are more intricate than Ariadne’s string, convoluted as winter sky, a confusion of sounds, disjointed syllables in a Mensa puzzle only champions can solve. Why are they shouting like mad? Aren’t they happy in the blue maze, the cave of forgetfulness where the delirium of being delights in the splendour of unawareness? Don’t they understand they will commit mass suicide if they join into the puzzle that is not supposed to be completed too soon? The golem will dance a danse macabre on their grave. Maria Claudia Faverio 47 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Vagabond Sun If the valedictory hand of time could pluck the stars from the sky and scatter them over astounded souls, would astonishment turn into recognition? Vagabond sun frail as Merano glass conceals more than the intrinsic. In the fanning loam, relics crack to life again, like bored Buddha. This anthology of memories is too heavy, bound in clay that doesn’t withstand the kicks of time, bruised as unloved corpse squeezed into emptiness. Light and shade bite each other like Yin and Yang, colliding into the soft violence of twilight. Crickets chirp in the curdling pink of dusk. Maria Claudia Faverio 48 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Monsieur Ibrahim By Robert Brizel More than 35 years after Dr. Zhivago, Omar Sharif is still electrifying audiences with his incredible on screen performances. His latest film ‘Monsieur Ibrahim’ is a showcase of his phenomenal talent. He plays a religious Turkish Muslim grocer in a red light district in Paris, who befriends a poor Jewish boy named Momo (played by newcomer Pierre Boulanger), whose companions are street prostitutes. Momo’s father abandons him and then commits suicide. Monsieur Ibrahim adopts the boy, and together they travel to Turkey in a red sports convertible. The film highlights Mr. Ibrahim’s worship of the Koran, and confronts religious and racial differences in France in the 1960s. The film might bring Sharif an Academy Award nomination after many years of being forgotten. He has admitted that this film is the first decent script he has received in 25 years. Since his career faded, he has attracted attention as a world class bridge player and columnist. This past summer, he was awarded a Golden Lion Lifetime Achievement Award at the Venice Film Festival. ‘Monsieur Ibrahim’ had its premiere at this 60th edition of the Venice festival and he got a standing ovation. Born Michael Shalhoub in Alexandria, Egypt, in 1932, Sharif has appeared in over 80 films. ‘Monsieur Ibrahim’ is a must see. Don’t miss it. Now playing at a theatre near you. 49 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Science and NLP (Neurolinguistic Programming) Enrico di Bari Some time ago I read the article "What is NLP? And does it work?" by Lewis Jones in the Italian “Scienza & Paranormale” (issue 40), but accessible for free at www.cicap.org/articoli/at101621.htm. I decided to write my opinions because I am a "Master in NLP" and have a diploma hanging in my office, where I am a business consultant. I could begin my examination of that article at any point, but I think it is appropriate to begin near the end: "Therefore NLP has failed to show itself to be based in a credible way in programming, linguistics or neurology. It is a serious problem for a discipline that calls itself 'Neurolinguistic Programming'.". In another place it is written: "... NLP does not like the scientific method.". I do not want to demonstrate that these claims are false, I only want to put this discipline in the right context and make it a little clearer as to what NLP is. In order to do this, I would like to use some simple examples. Bread: I ask you: is bread (and its production) scientific? Surely bread is not paranormal or a piece of nonsense (it can be eaten!). But can we say that making bread is "scientific"? I remember reading somewhere that a complete understanding of all the chemical reactions and physical changes that take part in flour, from the harvesting of wheat to the removing of bread from the furnace, has only been understood for a few decades. Before every chemical or physical change was understood in a scientific way, bread was not "scientific" was it? And what does the baker, who knows how to produce bread (better than me and better than most CSICOP members, I suppose), yet knows very little if nothing about chemistry and physics, make? Doesn’t he make bread “scientifically"? I believe on this point you too might share my same conclusion: science studies the existing (as it is found in nature or modified by man), discovers what it is and gives explanations based on scientific method. The existing exists (and works!) independently of the scientific explanations that you give, definitively proved or still to be proved, satisfactorily or still unfinished in every detail. Therefore, if NLP still failed to show it was based in a credible way in programming, linguistics or neurology, it would be pretty poor. The aim is to be useful (and if it was as useful as bread, I think most of those reading would ask me to “taste" it). I think I remember that not being based on the scientific method does not necessarily mean being anti-scientific, and I would like to talk about the usefulness of this discipline. 50 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Telling you that NLP is like bread would be nice (for NLP, not for you!), but those who want to investigate (as members and readers of CSICOP would surely wish to) would hardly accept a claim without a good explanation. However, NLP is more akin to "how to make bread” than its product "bread". Knowing how to make bread, assuming you would like to, is easier and more useful because it is more immediate and direct than knowing all the involved formulas, chemistries, molecules and physical transformations that happen. Obviously, all these scientific pieces of information can be useful and important for several reasons, detected or undetected, that have, or may have, improved the quality of bread. In addition to the example of bread, I would like to make others, but I am afraid I may bore you. So I want to throw out a challenge: I defy you to prove that the reasoning I am going to reveal hereafter is non-scientific (or is against logic or is simply against your own experience or good sense). The alphabet, I read some time ago, was probably invented entirely at one point in history. Given that the Phoenicians (who were good merchants and, therefore, spoke more languages, including Egyptian and other languages from Mesopotamia), invented it and all the people in the world (Hebrews, Greeks, Romans and so on) copied it. Now, the various alphabets can be studied scientifically through archaeological finds, through their similarities or differences, through all the possible sounds that the human voice can produce and so on. But the spread of that first alphabet had to its usefulness, and because of that it was copied, adapted into several languages and civilizations and quickly became widespread. Copying something that is useful, like the alphabet, is obviously something you can do immediately. You do not even need to have a discussion to realise the speed with which good ideas have spread in the ancient and modern world: entrepreneurial innovations are copied (or imitated, if there are licences), co-operative companies studied, the legislation of nations modified on the basis of those that seem better, cinema and television stars imitated by people in the way that they dress or behave and so on. Therefore, copying is simple and immediate and we usually do it without thinking. It seems there is no need to create a discipline for "copying"; indeed, hardly anyone admits to copying because, doing so, means to be unoriginal, or inferior to the originator (perhaps this is also why in NLP you do not say "copying" - it is simply what we make -, but "modelling"). Copying, which is modelling, is it really so easy? I want you to think about the child that learns to speak. How does he or she learn? He or she imitates the mother, i.e. models himself or herself on her. I defy any one of you to contest the claim I am going to make. Based on scientific study, your experience and your good sense, how is it possible for a child to imitate the mother without any neurological apparatus (the brain) and yet receive the sensory information (the child sees her and concentrates on the movement of her face, eyes and lips, listens to the her and perceives the tone and volume of 51 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 her voice, feels the heat and the consistency of the body of the mother and perceives how she smells and tastes), from which he or she can model and also learn to speak due to innate linguistic abilities? The mother, who begins this "sensory strafing" from the beginning, carries out practically all the necessary programming so that the child models himself or herself on her (All this just happens. It is not necessary for the mother to voluntarily "program" herself to behave that way. She does so, perhaps, because she has modelled herself on her mother or because of genetic programming. I personally imagine that throughout the history of Homo sapiens, the mothers, who habitually spoke to their children, enabled their children to develop better mental faculties and so to have a greater probability of survival and of generating other children – the importance of modelling!). Another example will illustrate the importance of modelling. I have read in a book by Isaac Asimov about the history of inventions (‘Asimov’s Chronology of Science and Discovery’) that the wheelbarrow (yes, the simple wheelbarrow!) was probably only invented in the first few centuries of the current era. Evidently, until then, no one had thought to combine a wheel (which the wheelbarrow has) with a lever (the structure of the wheelbarrow is a lever, whose fulcrum is the axis of the wheel), although they had been invented thousands of years before. It’s easy, Asimov commented, to understand the wheelbarrow after seeing it, but, evidently, not at all easy to invent. How many "wheelbarrows" have been lost to our lives because we failed to model them? The NLP was obviously not founded to model the production of bread and wheelbarrows or to teach children how to learn from their mothers: these are all things that are already made (and abundantly, too). But there are some fields in which modelling is not so easy as it is with bread and wheelbarrows and it is difficult to make a program like the one that happens between a mother and her child. This is the field of human relations (between friends, work, school, psychotherapy, family etc.) and the field of communication with ourselves (motivation, entering into friendly relations, engaging ourselves in important tasks, making decisions, making changes, removing bad habits, etc.). If, in order to imitate a wheelbarrow, you do not need to tell anyone what to do, can you think of anyone in the world who has collected models systematically (effective and positive models) in the field of human relations or communication that claims they can teach you how to do it on your own? It is what John Grinder and Richard Bandler have done since 1972. They began to model Fritz Perls (the founder of the Gestalt), Virginia Satir (important family therapist) and Milton Erickson (considered by many to be the most important hypnotherapist of the last century). 52 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 If the concepts of "scientific method", "programming", "neurology" and "linguistics" are not developed in the NLP to the extent you would expect, this is because modelling is not meant to give explanations. Also, in spite of great developments in scientific research in neurology and linguistics still very little is known about how the mind works. When we have a scientifically based theory that explains how the mind works, the NLP and all the other disciplines concerned with the mind will receive a strong impulse in their development. Therefore, in expectation of a good theory that explains our mental faculties, I propose to do as our ancestors have done for thousands of years: to eat bread and to model the way that bakers make it, in the hope that a good explanation about what happens is eventually found. However, some efforts have been made to give a systematic exposure to NLP in “The Encyclopedia of Systemic NLP and NLP New Coding”, which you can read at http://nlpuniversitypress.com (the aim of this systematic exposure is not to show that it is credibly based in programming, linguistics or neurology, but to ease the acquisition of NLP techniques that consist, or derive from, modelling). Semantic Investigation “Do you know where “it” is?” Laurent Dubois 53 Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Answers to the puzzles from the last issue of Chiaroscuro Horse Play A pinto (half a pint of beer), which is usually brown and white or black and white. Equation NINE – I + 0 = N0NE Witness Ron. The thief is called Ron ("cauldron"). Guess Who? Tim. "I guess(tim)ate 20 sweets in all!" Indian Takeaway A teepee. ("80p") Sea Monster Navigate around the 7 C’s to find ‘GIANT SQUID’ going backwards. Yakety-Yak Take away six matches as follows to leave a letter K. KAY equals YAK going in the opposte direction. The Fourth Dimension A ‘lift’ because, as you can see, it is slightly less than llft. Sqayd 54 The answer is Tetrahedron Chiaroscuro - The Journal of the VinCI Society and ISI-S #2, Jan 2004 Birds P H T A A L A R O C C C R E M N I T G O A R P I I P I T E E U T C W L R A R A I U I D I I V A O E M U R K C K E K L E J E L O U D A A W R R I E P P N R T D E R O E E L R M T 55 D C N H E D A P T O R