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Incompleteness The Proof And Paradox Of Kurt Godel Great Discoveries
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Book Synopsis Incompleteness by : Rebecca Goldstein
Download or read book Incompleteness written by Rebecca Goldstein and published by W. W. Norton & Company. This book was released on 2006-01-31 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: "An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.
Book Synopsis Incompleteness: The Proof and Paradox of Kurt Gödel (Great Discoveries) by : Rebecca Goldstein
Download or read book Incompleteness: The Proof and Paradox of Kurt Gödel (Great Discoveries) written by Rebecca Goldstein and published by W. W. Norton & Company. This book was released on 2006-02-17 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A gem…An unforgettable account of one of the great moments in the history of human thought." —Steven Pinker Probing the life and work of Kurt Gödel, Incompleteness indelibly portrays the tortured genius whose vision rocked the stability of mathematical reasoning—and brought him to the edge of madness.
Book Synopsis Incompleteness by : Rebecca Goldstein
Download or read book Incompleteness written by Rebecca Goldstein and published by W. W. Norton & Company. This book was released on 2005 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considered the 20th century's greatest mathematician, Kurt Godel is the subject of this lucid and accessible study, which explains the significance of his theorems and the remarkable vision behind them, while bringing this eccentric, tortured genius and his world to life.
Download or read book Godel's Proof written by Ernest Nagel and published by Routledge. This book was released on 2012-11-12 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book to present a readable explanation of Godel's theorem to both scholars and non-specialists, this is a gripping combination of science and accessibility, offering those with a taste for logic and philosophy the chance to satisfy their intellectual curiosity.
Download or read book Godel written by John L. Casti and published by . This book was released on 2009-04-21 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kurt Gödel was an intellectual giant. His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Shattering hopes that logic would, in the end, allow us a complete understanding of the universe, Gödel's theorem also raised many provocative questions: What are the limits of rational thought? Can we ever fully understand the machines we build? Or the inner workings of our own minds? How should mathematicians proceed in the absence of complete certainty about their results? Equally legendary were Gödel'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 book for a general audience on this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life.
Book Synopsis A World Without Time by : Palle Yourgrau
Download or read book A World Without Time written by Palle Yourgrau and published by Basic Books. This book was released on 2009-03-04 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is a widely known but little considered fact that Albert Einstein and Kurt Godel were best friends for the last decade and a half of Einstein's life. The two walked home together from Princeton's Institute for Advanced Study every day; they shared ideas about physics, philosophy, politics, and the lost world of German science in which they had grown up. By 1949, Godel had produced a remarkable proof: In any universe described by the Theory of Relativity, time cannot exist . Einstein endorsed this result-reluctantly, since it decisively overthrew the classical world-view to which he was committed. But he could find no way to refute it, and in the half-century since then, neither has anyone else. Even more remarkable than this stunning discovery, however, was what happened afterward: nothing. Cosmologists and philosophers alike have proceeded with their work as if Godel's proof never existed -one of the greatest scandals of modern intellectual history. A World Without Time is a sweeping, ambitious book, and yet poignant and intimate. It tells the story of two magnificent minds put on the shelf by the scientific fashions of their day, and attempts to rescue from undeserved obscurity the brilliant work they did together.
Book Synopsis When Einstein Walked with Gödel by : Jim Holt
Download or read book When Einstein Walked with Gödel written by Jim Holt and published by Farrar, Straus and Giroux. This book was released on 2018-05-15 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Jim Holt, the New York Times bestselling author of Why Does the World Exist?, comes an entertaining and accessible guide to the most profound scientific and mathematical ideas of recent centuries in When Einstein Walked with Gödel: Excursions to the Edge of Thought. Does time exist? What is infinity? Why do mirrors reverse left and right but not up and down? In this scintillating collection, Holt explores the human mind, the cosmos, and the thinkers who’ve tried to encompass the latter with the former. With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot. Holt offers a painless and playful introduction to many of our most beautiful but least understood ideas, from Einsteinian relativity to string theory, and also invites us to consider why the greatest logician of the twentieth century believed the U.S. Constitution contained a terrible contradiction—and whether the universe truly has a future.
Book Synopsis On Formally Undecidable Propositions of Principia Mathematica and Related Systems by : Kurt Gödel
Download or read book On Formally Undecidable Propositions of Principia Mathematica and Related Systems written by Kurt Gödel and published by Courier Corporation. This book was released on 2012-05-24 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: First English translation of revolutionary paper (1931) that established that even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. Introduction by R. B. Braithwaite.
Book Synopsis Plato at the Googleplex by : Rebecca Goldstein
Download or read book Plato at the Googleplex written by Rebecca Goldstein and published by Pantheon. This book was released on 2014 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Acclaimed philosopher and novelist Rebecca Newberger Goldstein provides a dazzlingly original plunge into the drama of philosophy, revealing its hidden role in today's debates on religion, morality, politics, and science.
Download or read book Mazel written by Rebecca Goldstein and published by Univ of Wisconsin Press. This book was released on 2002 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mazel means luck in Yiddish, and luck is the guiding force in this magical and mesmerizing novel that spans three generations. Sasha Saunders is the daughter of a Polish rabbi who abandons the shtetl and wins renown as a Yiddish actress in Warsaw and New York. Her daughter Chloe becomes a professor of classics at Columbia. Chloe's daughter Phoebe grows up to become a mathematician who is drawn to traditional Judaism and the sort of domestic life her mother and grandmother rejected.
Book Synopsis The Mind-Body Problem by : Rebecca Goldstein
Download or read book The Mind-Body Problem written by Rebecca Goldstein and published by Penguin. This book was released on 1993-03-01 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: The hilarious underground bestseller about one woman’s pursuit of carnal pleasure—and the philosophy that gets in the way. When Renee Feuer goes to college, one of the first lessons she tries to learn is how to liberate herself from the restrictions of her Orthodox Jewish background. As she discovers the pleasures of the body, Renee also learns about the excitements of the mind. She enrolls as a philosophy graduate student, then marries Noam Himmel, the world-renowned mathematician. But Renee discovers that being married to a genius is a less elevating experience than expected, and that the allure of sex still beckons. Her quest for a solution to the conflicting demands of sensuality and spirit is a touching and always humorous adventure. “Terrific. . . . The first fifty or so pages are so clever and funny that I had to put the book down and go to the fridge to cool off.”—The New York Times Book Review “A terrific first novel . . . Goldenstein is intelligent and perceptive, bawdy and witty—an articulate writer of great talent.”—The Los Angeles Times Book Review
Download or read book A Logical Journey written by Hao Wang and published by MIT Press. This book was released on 1997-02-03 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hao Wang (1921-1995) was one of the few confidants of the great mathematician and logician Kurt Gödel. A Logical Journey is a continuation of Wang's Reflections on Gödel and also elaborates on discussions contained in From Mathematics to Philosophy. A decade in preparation, it contains important and unfamiliar insights into Gödel's views on a wide range of issues, from Platonism and the nature of logic, to minds and machines, the existence of God, and positivism and phenomenology. The impact of Gödel's theorem on twentieth-century thought is on par with that of Einstein's theory of relativity, Heisenberg's uncertainty principle, or Keynesian economics. These previously unpublished intimate and informal conversations, however, bring to light and amplify Gödel's other major contributions to logic and philosophy. They reveal that there is much more in Gödel's philosophy of mathematics than is commonly believed, and more in his philosophy than his philosophy of mathematics. Wang writes that "it is even possible that his quite informal and loosely structured conversations with me, which I am freely using in this book, will turn out to be the fullest existing expression of the diverse components of his inadequately articulated general philosophy." The first two chapters are devoted to Gödel's life and mental development. In the chapters that follow, Wang illustrates the quest for overarching solutions and grand unifications of knowledge and action in Gödel's written speculations on God and an afterlife. He gives the background and a chronological summary of the conversations, considers Gödel's comments on philosophies and philosophers (his support of Husserl's phenomenology and his digressions on Kant and Wittgenstein), and his attempt to demonstrate the superiority of the mind's power over brains and machines. Three chapters are tied together by what Wang perceives to be Gödel's governing ideal of philosophy: an exact theory in which mathematics and Newtonian physics serve as a model for philosophy or metaphysics. Finally, in an epilog Wang sketches his own approach to philosophy in contrast to his interpretation of Gödel's outlook.
Book Synopsis Quantum Man: Richard Feynman's Life in Science (Great Discoveries) by : Lawrence M. Krauss
Download or read book Quantum Man: Richard Feynman's Life in Science (Great Discoveries) written by Lawrence M. Krauss and published by W. W. Norton & Company. This book was released on 2011-03-21 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A worthy addition to the Feynman shelf and a welcome follow-up to the standard-bearer, James Gleick's Genius." —Kirkus Reviews Perhaps the greatest physicist of the second half of the twentieth century, Richard Feynman changed the way we think about quantum mechanics, the most perplexing of all physical theories. Here Lawrence M. Krauss, himself a theoretical physicist and a best-selling author, offers a unique scientific biography: a rollicking narrative coupled with clear and novel expositions of science at the limits. From the death of Feynman’s childhood sweetheart during the Manhattan Project to his reluctant rise as a scientific icon, we see Feynman’s life through his science, providing a new understanding of the legacy of a man who has fascinated millions.
Book Synopsis I Am a Strange Loop by : Douglas R. Hofstadter
Download or read book I Am a Strange Loop written by Douglas R. Hofstadter and published by Basic Books (AZ). This book was released on 2007-03-27 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Argues that the key to understanding ourselves and consciousness is the "strange loop," a special kind of abstract feedback loop that inhabits the brain.
Book Synopsis Kurt Gödel: Collected Works: Volume III by : Kurt Gödel
Download or read book Kurt Gödel: Collected Works: Volume III written by Kurt Gödel and published by Oxford University Press, USA. This book was released on 1986 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Anyone interested in the life and work of Kurt Gödel, or in the history of mathematical logic in this century, is indebted to all of the contributors to this volume for the care with which they have presented Gödel's work. They have succeeded in using their own expertise to elucidate both the nature and significance of what Gödel and, in turn, mathematical logic have accomplished." --Isis (on volume I). The third volume brings togetherGödels unpublished essays and lectures.
Book Synopsis Einstein's Cosmos: How Albert Einstein's Vision Transformed Our Understanding of Space and Time (Great Discoveries) by : Michio Kaku
Download or read book Einstein's Cosmos: How Albert Einstein's Vision Transformed Our Understanding of Space and Time (Great Discoveries) written by Michio Kaku and published by W. W. Norton & Company. This book was released on 2005-05-17 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: An insightful new book putting Einstein's work in a contemporary context.
Download or read book Logical Dilemmas written by John Dawson and published by A K Peters/CRC Press. This book was released on 2005-06-06 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative biography of Kurt Goedel relates the life of this most important logician of our time to the development of the field. Goedel's seminal achievements that changed the perception and foundations of mathematics are explained in the context of his life from the turn of the century Austria to the Institute for Advanced Study in Princeton.
