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Author: Rebecca Goldstein
Publisher: W. W. Norton & Company
Published: 2006-01-31
Total Pages: 299
ISBN-13: 0393327604
DOWNLOAD EBOOK →"An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.
Author: Rebecca Goldstein
Publisher: W. W. Norton & Company
Published: 2006-02-17
Total Pages: 299
ISBN-13: 0393242455
DOWNLOAD EBOOK →"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.
Author: Rebecca Goldstein
Publisher: W. W. Norton & Company
Published: 2005
Total Pages: 316
ISBN-13: 9780393051698
DOWNLOAD EBOOK →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.
Author: Palle Yourgrau
Publisher: Basic Books
Published: 2009-03-04
Total Pages: 226
ISBN-13: 078673700X
DOWNLOAD EBOOK →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.
Author: Ernest Nagel
Publisher: Psychology Press
Published: 1989
Total Pages: 118
ISBN-13: 041504040X
DOWNLOAD EBOOK →In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system and had radical implications that have echoed throughout many fields. A gripping combination of science and accessibility, Godel’s Proofby Nagel and Newman is for both mathematicians and the idly curious, offering those with a taste for logic and philosophy the chance to satisfy their intellectual curiosity.
Author: Stephen Budiansky
Publisher: Oxford University Press
Published: 2021-05-11
Total Pages: 384
ISBN-13: 0192636138
DOWNLOAD EBOOK →A remarkable account of Kurt Gödel, weaving together creative genius, mental illness, political corruption, and idealism in the face of the turmoil of war and upheaval. At age 24, a brilliant Austrian-born mathematician published a mathematical result that shook the world. Nearly a hundred years after Kurt Gödel's famous 1931 paper "On Formally Undecidable Propositions" appeared, his proof that every mathematical system must contain propositions that are true - yet never provable within that system - continues to pose profound questions for mathematics, philosophy, computer science, and artificial intelligence. His close friend Albert Einstein, with whom he would walk home every day from Princeton's famous Institute for Advanced Study, called him "the greatest logician since Aristotle." He was also a man who felt profoundly out of place in his time, rejecting the entire current of 20th century philosophical thought in his belief that mathematical truths existed independent of the human mind, and beset by personal demons of anxiety and paranoid delusions that would ultimately lead to his tragic end from self-starvation. Drawing on previously unpublished letters, diaries, and medical records, Journey to the Edge of Reason offers the most complete portrait yet of the life of one of the 20th century's greatest thinkers. Stephen Budiansky's account brings to life the remarkable world of philosophical and mathematical creativity of pre-war Vienna, and documents how it was barbarically extinguished by the Nazis. He charts Gödel's own hair's-breadth escape from Nazi Germany to the scholarly idyll of Princeton; and the complex, gently humorous, sensitive, and tormented inner life of this iconic but previously enigmatic giant of modern science. Weaving together Gödel's public and private lives, this is a tale of creative genius, mental illness, political corruption, and idealism in the face of the turmoil of war and upheaval.
Author: Jim Holt
Publisher: Farrar, Straus and Giroux
Published: 2018-05-15
Total Pages: 384
ISBN-13: 0374717842
DOWNLOAD EBOOK →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.
Author: Kurt Gödel
Publisher: Courier Corporation
Published: 2012-05-24
Total Pages: 82
ISBN-13: 0486158403
DOWNLOAD EBOOK →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.
Author: Rebecca Goldstein
Publisher: Pantheon
Published: 2014
Total Pages: 481
ISBN-13: 0307378195
DOWNLOAD EBOOK →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.
Author: Michael D. Lemonick
Publisher: W. W. Norton & Company
Published: 2009
Total Pages: 212
ISBN-13: 9780393065749
DOWNLOAD EBOOK →"In 1781, William Herschel won international fame for discovering Uranus, the seventh planet from the sun. In documenting a new planet - something no one had done since the dawn of civilization - he expanded our perception that we are part of something much greater than the immediately visible solar system." "Herschel remains most famous for this discovery, but, as The Georgian Star makes vividly clear, he accomplished much more. After a successful career as a professional musician, he turned his attention to astronomy in his mid-thirties. With his sister Caroline as a partner, he pioneered techniques that are still used by astronomers today. The Herschels were the first to map the night sky, listing and categorizing every object they could see. To do so, they built a massive, forty-foot-tall telescope under the patronage of King George III. They were also the first to propose that the visible stars surrounding our little planet are only a fraction of those that make up a continually evolving universe. William's restless intelligence led further still, to the discovery of infrared radiation - invisible radiation that has a wavelength longer than microwaves but shorter than that of visible light. Caroline assembled an exhaustive catalog of nebulae, the beautiful, cloudy assemblages of dust and stellar light." "Erudite and accessible, The Georgian Star is a lively portrait of the pair who invented modern astronomy."--BOOK JACKET.
