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Gödel's Proof
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An accessible explanation of Kurt Gödel's groundbreaking work in mathematical logic: "An excellent nontechnical account." —Bulletin of the American Mathematical Society
In 1931 Kurt Gödel published his fundamental paper, "On Formally Undecidable Propositions of Principia Mathematica and Related Systems." This revolutionary paper challenged certain basic assumptions underlying much research in mathematics and logic. Gödel received public recognition of his work in 1951 when he received the first Albert Einstein Award for achievement in the natural sciences—perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times."
However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.
New York University Press is proud to publish this special edition of one of its bestselling books. With a new foreword by Douglas R. Hofstadter, Pulitzer Prize-winning author of Gödel, Escher, Bach, who also updated the text, this book will be of interest to students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.
© 2001 NYU Press (E-bog): 9780814758014
Udgivelsesdato
E-bog: 1. oktober 2001
Bøger, der ligner Gödel's Proof
- Is Maths Real?: How Simple Questions Lead Us to Mathematics’ Deepest Truths Eugenia Cheng
- The Shape of a Life: One Mathematician's Search for the Universe's Hidden Geometry Shing-Tung Yau, Steve Nadis
- In Praise of Simple Physics: The Science and Mathematics behind Everyday Questions Paul J. Nahin
- First You Build a Cloud: And Other Reflections on Physics as a Way of Life K. C. Cole
- Planet Aqua: Rethinking Our Home in the Universe Jeremy Rifkin
- Beyond Star Trek: From Alien Invasions to the End of Time Lawrence M. Krauss
- Nothing: Surprising Insights Everywhere from Zero to Oblivion David Fisher, Ian Stewart, Jo Marchant, Paul Davies, Linda Geddes, Michael Brooks, Jonathan Knight, Marcus Chown, Laura Spinney, David Harris, Nigel Henbest, Stephen Battersby, Andy Coghlan, Rick A. Lovett, Valerie Jamieson, NewScientist, Douglas Fox, Michael de Podesta, Per Eklund
- Professor Maxwell's Duplicitous Demon: The Life and Science of James Clerk Maxwell Brian Clegg
- Israeli Foreign Policy: A People Shall Not Dwell Alone Uri Bialer
- Innumeracy: Mathematical Illiteracy and Its Consequences John Allen Paulos
- Beautiful, Simple, Exact, Crazy: Mathematics in the Real World Apoorva Khare, Anne Lachowska
- Infinitesimal: How a Dangerous Mathematical Theory Shaped the Modern World Amir Alexander
- Genius: The Life and Science of Richard Feynman James Gleick
- The Little Book of Mathematical Principles, Theories & Things Robert Solomon
- How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics James D. Stein
- Geopolitics and the Quest for Dominance Jeremy Black
- The Age of Questions Holly Case
- Machines of Loving Grace: The Quest for Common Ground Between Humans and Robots John Markoff
- Achilles in the Quantum Universe: The Definitive History of Infinity Richard Morris
- Are Numbers Real?: The Uncanny Relationship of Mathematics and the Physical World Brian Clegg
- The Battle for Trust: A Brief History and its Effect on Extreme Politics, Artificial Intelligence, and Nuclear Threat David Ryback, PhD
- Statesmanship and Party Government: A Study of Burke and Bolingbroke Harvey C. Mansfield
- Whose Global Village?: Rethinking How Technology Shapes Our World Ramesh Srinivasan
- Trace and Aura: The Recurring Lives of St. Ambrose of Milan Patrick Boucheron
- Destination Mars: The Story of our Quest to Conquer the Red Planet Andrew May
- The Edge of Physics: A Journey to Earth's Extremes to Unlock the Secrets of the Universe Anil Ananthaswamy
- Jefferson and Hamilton: The Rivalry That Forged a Nation John Ferling
- How Round Is Your Circle?: Where Engineering and Mathematics Meet John Bryant, Chris Sangwin
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