In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Godel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.

    Gardner's illuminating autobiography is a candid self-portrait by the man evolutionary theorist Stephen Jay Gould called our single brightest beacon for the defense of rationality and good science against mysticism and anti-intellectualism.Gardner takes readers from his childhood in Oklahoma to his varied and wide-ranging professional pursuits. He shares colorful anecdotes about the many fascinating people he met and mentored, and voices strong opinions on the subjects that matter to him most, from his love of mathematics to his uncompromising stance against pseudoscience. For Gardner, our mathematically structured universe is undiluted hocus-pocus--a marvelous enigma, in other words.Undiluted Hocus-Pocus offers a rare, intimate look at Gardner's life and work, and the experiences that shaped both.

    From the gory photos captured on the ground, to the protest songs that soundtracked a generation of rebels and radicals, this twenty-year war left a mark on the world that’s not going to disappear soon. If you live in the United States (not to mention Vietnam itself), you’ve probably been affected by the war – whether you know it or not. But do you wish you had answers to some questions about the war? What were the stories behind the iconic pictures? Why did it divide the United States more than any war before or since? Would you like to be able to casually explain an issue or relate a story that would shock or impress the whole room? With the help of this Vietnam War book, you can! In just a few minutes a day, you can be an expert in Vietnam War history, and impress both your friends and your history teachers. Each chapter of our trivia books is broken up into fifteen bite-sized sections. These sections are either interesting stories, or clear, simple break-downs of the Vietnam War’s main issues. It’s a pretty complicated war, but unlike most war books, this one will make those difficult issues seem easy and exciting. Every chapter also ends with twenty fascinating facts and five quick questions to test your knowledge. And unlike some Vietnam War books, we’re not going to overwhelm you with a million dates and names – our Vietnam War stories are guaranteed to both intrigue and educate! Get ready to meet characters from Ho Chi Minh, Vietnam’s George Washington, to Peter Lemon, drug enthusiast and Medal of Honour winner. Find out what led to the war, and why it went so badly. Meet the people in Vietnam who risked their lives, and the people in America who stood up against the war. Learn why the Soviet Union stayed away, how a herbicide changed the definition of a war crime, and how Harris Tweed suits saved lives.

    It can urge the reader to explore new methodologies to have maximum fun with numbers, and opt for a higher course in mathematics. The book was specifically designed to help the student community, and develop a strong affinity towards problem solving.the book offers many complicated, and interesting challenges for the user, keeping them engaged throughout. A large number of solved problems are also included in challenge and thrill of pre-college mathematics, to give readers an insight into the subject. The book can be an eye-opener for school students of class 7 and above. The materials given in the book are powerful enough to help them develop a strong interest for the subject. The concepts are explained in a simple and comprehensive manner, providing them with a good understanding of mathematical fundamentals.what makes the book distinct is its detailed sections on geometry, that can improve the reasoning skills of students. There are also detailed accounts on algebra and trigonometry, enhancing the competitive ability of the users. The topics such as combinatorics, number theory, and probability are also explained in detail, in the book. Each chapter was designed with the intention of motivating students to appreciate the excitement that mathematical problems can provide. Published in 2003 by new age international publishers, the book is available in paperback. Key features: the book includes a collection of more than 300 solved numerical problems, compiled from various national, as well as international mathematical olympiads.it is widely recommended by students and teachers, alike as an essential preparatory book for those writing competitive examinations.

    His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Equally legendary were Gö's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first popular biography of this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life. After describing his childhood in the Moravian capital of Brno, the authors trace the arc of Gö's remarkable career, from the famed Vienna Circle, where philosophers and scientists debated notions of truth, to the Institute for Advanced Study in Princeton, New Jersey, where he lived and worked until his death in 1978. In the process, they shed light on Gö's contributions to mathematics, philosophy, computer science, artificial intelligence -- even cosmology -- in an entertaining and accessible way.

    

    An acclaimed author and public speaker, Black shows how this body of knowledge has been declared ‘heretical’ both by the established church and by today’s atheistic intellectual elite.Finally, he outlines in the clearest terms possible the supernatural laws that govern our universe, and describes rules for living that take us beyond consensual thought, rules that may at first seem crazy, even dangerous, but which contain the secrets for achieving success, happiness and a higher state of being.

    Orphaned as a teenager, he came to America in search of an education, a home, and the war that would at last bring him fame and honor. As George Washington’s most trusted aide, Hamilton helped to win the American Revolution—but after the war, his enemies lost no time accusing him of trying to sell his country back to the British. He was the most powerful member of Washington’s presidential cabinet—so why did Adams and Jefferson hate him so much?In this book, you will learn how the author of the Federalist Papers and the first Secretary of the Treasury nearly ruined his career by fighting duels, seducing women, and getting involved in America’s first sex scandal. The duel that killed Alexander Hamilton is the most famous duel in American history, but you’ll have to come up with your own answer to its greatest mystery: who shot first, Hamilton or Burr?

    

    

    In this little book Welsh writer and artist David Wade paints a picture of one of the most elusive and pervasive concepts known to man.

    Today Nash's beautiful math has become a universal language for research in the social sciences and has infiltrated the realms of evolutionary biology, neuroscience, and even quantum physics. John Nash won the 1994 Nobel Prize in economics for pioneering research published in the 1950s on a new branch of mathematics known as game theory. At the time of Nash's early work, game theory was briefly popular among some mathematicians and Cold War analysts. But it remained obscure until the 1970s when evolutionary biologists began applying it to their work. In the 1980s economists began to embrace game theory. Since then it has found an ever expanding repertoire of applications among a wide range of scientific disciplines. Today neuroscientists peer into game players' brains, anthropologists play games with people from primitive cultures, biologists use games to explain the evolution of human language, and mathematicians exploit games to better understand social networks. A common thread connecting much of this research is its relevance to the ancient quest for a science of human social behavior, or a Code of Nature, in the spirit of the fictional science of psychohistory described in the famous Foundation novels by the late Isaac Asimov. In A Beautiful Math, acclaimed science writer Tom Siegfried describes how game theory links the life sciences, social sciences, and physical sciences in a way that may bring Asimov's dream closer to reality.

    

    

    The producers refused. In Doctor Who, the Twelfth Doctor's costume was inspired by David Bowie. In Game of Thrones, Hodor's real name is Wyllis. Matthew Perry plays Chandler in Friends. He says he can't remember a single thing from the show throughout three seasons. In The Simpsons, Hans Moleman has died at least 15 times. Many mobsters contacted James Gandolfini to tell him his performance was excellent in The Sopranos but warned him not to wear shorts in the show. Millie Bobby Brown was 11 when she was cast as Eleven in Stranger Things. The Tourette Syndrome Association praised the show, South Park, for its accurate portrayal of the Tourette's condition. In Family Guy, Meg's full name is Megatron Griffin.