Simply Gödel

Simply Gödel PDF Author: Richard Tieszen
Publisher: Simply Charly
ISBN: 1943657149
Category : Biography & Autobiography
Languages : en
Pages : 143

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Book Description
"Tieszen’s Simply Gödel is a remarkable achievement—a handy guide with the impact of a philosophical tome. It’s all here: elegantly lucid discussions of Kurt Gödel’s epochal discoveries, a sympathetic account of the eccentric genius’s life, focused discussions of his encounters with his astonished peers, and a visionary peek into the future of mathematics, philosophy, and the on-rushing specter of robots with minds. A compact masterpiece, brimming with fresh revelations." —Rudy Rucker, author of Infinity and the Mind Kurt Gödel (1906–1978) was born in Austria-Hungary (now the Czech Republic) and grew up in an ethnic German family. As a student, he excelled in languages and mathematics, mastering university-level math while still in high school. He received his doctorate from the University of Vienna at the age of 24 and, a year later, published the pioneering theorems on which his fame rests. In 1939, with the rise of Nazism, Gödel and his wife settled in the U.S., where he continued his groundbreaking work at the Institute for Advanced Study (IAS) in Princeton and became a close friend of Albert Einstein’s. In Simply Gödel, Richard Tieszen traces Gödel’s life and career, from his early years in tumultuous, culturally rich Vienna to his many brilliant achievements as a member of IAS, as well as his repeated battles with mental illness. In discussing Gödel’s ideas, Tieszen not only provides an accessible explanation of the incompleteness theorems, but explores some of his lesser-known writings, including his thoughts on time travel and his proof of the existence of God. With clarity and sympathy, Simply Gödel brings to life Gödel’s fascinating personal and intellectual journey and conveys the lasting impact of his work on our modern world.

Simply Gödel

Simply Gödel PDF Author: Richard Tieszen
Publisher: Simply Charly
ISBN: 1943657149
Category : Biography & Autobiography
Languages : en
Pages : 143

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Book Description
"Tieszen’s Simply Gödel is a remarkable achievement—a handy guide with the impact of a philosophical tome. It’s all here: elegantly lucid discussions of Kurt Gödel’s epochal discoveries, a sympathetic account of the eccentric genius’s life, focused discussions of his encounters with his astonished peers, and a visionary peek into the future of mathematics, philosophy, and the on-rushing specter of robots with minds. A compact masterpiece, brimming with fresh revelations." —Rudy Rucker, author of Infinity and the Mind Kurt Gödel (1906–1978) was born in Austria-Hungary (now the Czech Republic) and grew up in an ethnic German family. As a student, he excelled in languages and mathematics, mastering university-level math while still in high school. He received his doctorate from the University of Vienna at the age of 24 and, a year later, published the pioneering theorems on which his fame rests. In 1939, with the rise of Nazism, Gödel and his wife settled in the U.S., where he continued his groundbreaking work at the Institute for Advanced Study (IAS) in Princeton and became a close friend of Albert Einstein’s. In Simply Gödel, Richard Tieszen traces Gödel’s life and career, from his early years in tumultuous, culturally rich Vienna to his many brilliant achievements as a member of IAS, as well as his repeated battles with mental illness. In discussing Gödel’s ideas, Tieszen not only provides an accessible explanation of the incompleteness theorems, but explores some of his lesser-known writings, including his thoughts on time travel and his proof of the existence of God. With clarity and sympathy, Simply Gödel brings to life Gödel’s fascinating personal and intellectual journey and conveys the lasting impact of his work on our modern world.

Simply Gödel

Simply Gödel PDF Author: Richard Tieszen
Publisher: Great Lives
ISBN: 9781943657155
Category : Biography & Autobiography
Languages : en
Pages : 160

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Book Description
Simply Gödel examines the life and principal ideas of Kurt Gödel (1906-1978), widely regarded as one of the greatest logicians of all time.

Incompleteness

Incompleteness PDF Author: Rebecca Goldstein
Publisher: W. W. Norton & Company
ISBN: 0393327604
Category : Biography & Autobiography
Languages : en
Pages : 299

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Book Description
"An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.

Simply Turing

Simply Turing PDF Author: Michael Olinick
Publisher: Simply Charly
ISBN: 1943657386
Category : Biography & Autobiography
Languages : en
Pages : 124

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Book Description
“Michael Olinick has written a vibrant and absorbing biography of Alan Turing. Turing's work as a cryptographer during WW II and his pioneering development of the digital computer helped us win that war and make our technology-driven world of today possible—all this against the backdrop of the homophobic world Turing tried to navigate.” — Joseph Malkevitch, Professor of Mathematics at York College (CUNY) and CUNY Graduate Center Alan Turing (1912-1954) was born in London and showed signs of genius from a very young age. Turing was just 24 when he devised the theory that led to the development of modern computers and he went on to achieve major breakthroughs in probability, number theory, cryptology, and mathematical biology. His codebreaking efforts during World War II allowed the British to decipher secret German communications, effectively shortening the war and saving millions of lives. Yet instead of being celebrated for his accomplishments, Turing was prosecuted for being a homosexual and was forced to undergo hormone treatments designed to reduce his sexual drive. Turing died of cyanide poisoning in 1954 at the age of 41, a tragic end to a brilliant life, and an event that remains mysterious to this day. In Simply Turing, Professor Michael Olinick recounts the life and work of a man who, along with Newton and Darwin, is considered one of the three most influential British scientists of all time. Prof. Olinick provides an accessible explanation of Turing’s monumental achievements, while introducing us to the friends, colleagues, and rivals who shared his life, and exploring the controversy surrounding his death. For anyone interested in the beginnings of our computer-defined age, or anyone who wants a better understanding of why LGBTQ rights are so important, Simply Turing is an indispensable and fascinating introduction to a man who was both ahead of his time and a tragic victim of it.

A World Without Time

A World Without Time PDF Author: Palle Yourgrau
Publisher: Basic Books
ISBN: 078673700X
Category : Science
Languages : en
Pages : 226

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Book Description
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.

Godel's Theorem in Focus

Godel's Theorem in Focus PDF Author: S.G. Shanker
Publisher: Taylor & Francis
ISBN: 1134947984
Category : Philosophy
Languages : en
Pages : 271

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Book Description
A layman's guide to the mechanics of Gödel's proof together with a lucid discussion of the issues which it raises. Includes an essay discussing the significance of Gödel's work in the light of Wittgenstein's criticisms.

Gödel's Incompleteness Theorems

Gödel's Incompleteness Theorems PDF Author: Raymond M. Smullyan
Publisher: Oxford University Press, USA
ISBN: 0195046722
Category : Gödel's theorem
Languages : en
Pages : 156

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Book Description
An introduction to the work of the mathematical logician Kurt Godel, which guides the reader through his Theorem of Undecidability and his theories on the completeness of logic, the incompleteness of numbers and the consistency of the axiom of choice.

Kurt Gödel and the Foundations of Mathematics

Kurt Gödel and the Foundations of Mathematics PDF Author: Matthias Baaz
Publisher: Cambridge University Press
ISBN: 1139498436
Category : Mathematics
Languages : en
Pages : 541

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Book Description
This volume commemorates the life, work and foundational views of Kurt Gödel (1906–78), most famous for his hallmark works on the completeness of first-order logic, the incompleteness of number theory, and the consistency - with the other widely accepted axioms of set theory - of the axiom of choice and of the generalized continuum hypothesis. It explores current research, advances and ideas for future directions not only in the foundations of mathematics and logic, but also in the fields of computer science, artificial intelligence, physics, cosmology, philosophy, theology and the history of science. The discussion is supplemented by personal reflections from several scholars who knew Gödel personally, providing some interesting insights into his life. By putting his ideas and life's work into the context of current thinking and perceptions, this book will extend the impact of Gödel's fundamental work in mathematics, logic, philosophy and other disciplines for future generations of researchers.

Kurt Gödel

Kurt Gödel PDF Author: William D. Brewer
Publisher: Springer Nature
ISBN: 3031113098
Category : Mathematics
Languages : en
Pages : 502

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Book Description
During his lifetime, Kurt Gödel was not well known outside the professional world of mathematicians, philosophers and theoretical physicists. Early in his career, for his doctoral thesis and then for his Habilitation (Dr.Sci.), he wrote earthshaking articles on the completeness and provability of mathematical-logical systems, upsetting the hypotheses of the most famous mathematicians/philosophers of the time. He later delved into theoretical physics, finding a unique solution to Einstein’s equations for gravity, the ‘Gödel Universe’, and made contributions to philosophy, the guiding theme of his life. This book includes more details about the context of Gödel’s life than are found in earlier biographies, while avoiding an elaborate treatment of his mathematical/scientific/philosophical works, which have been described in great detail in other books. In this way, it makes him and his times more accessible to general readers, and will allow them to appreciate the lasting effects of Gödel’s contributions (the latter in a more up-to-date context than in previous biographies, many of which were written 15–25 years ago). His work spans or is relevant to a wide spectrum of intellectual endeavor, and this is emphasized in the book, with recent examples. This biography also examines possible sources of his unusual personality, which combined mathematical genius with an almost childlike naiveté concerning everyday life, and striking scientific innovations with timidity and hesitancy in practical matters. How he nevertheless had a long and successful career, inspiring many younger scholars along the way, with the help of his loyal wife Adele and some of his friends, is a fascinating story in human nature.

Journey to the Edge of Reason: The Life of Kurt Gödel

Journey to the Edge of Reason: The Life of Kurt Gödel PDF Author: Stephen Budiansky
Publisher: W. W. Norton & Company
ISBN: 1324005459
Category : Biography & Autobiography
Languages : en
Pages : 361

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Book Description
The first major biography written for a general audience of the logician and mathematician whose Incompleteness Theorems helped launch a modern scientific revolution. Nearly a hundred years after its publication, Kurt Gödel’s famous proof that every mathematical system must contain propositions that are true—yet never provable—continues to unsettle mathematics, philosophy, and computer science. Yet unlike Einstein, with whom he formed a warm and abiding friendship, Gödel has long escaped all but the most casual scrutiny of his life. Stephen Budiansky’s Journey to the Edge of Reason is the first biography to fully draw upon Gödel’s voluminous letters and writings—including a never-before-transcribed shorthand diary of his most intimate thoughts—to explore Gödel’s profound intellectual friendships, his moving relationship with his mother, his troubled yet devoted marriage, and the debilitating bouts of paranoia that ultimately took his life. It also offers an intimate portrait of the scientific and intellectual circles in prewar Vienna, a haunting account of Gödel’s and Jewish intellectuals’ flight from Austria and Germany at the start of the Second World War, and a vivid re-creation of the early days of the Institute for Advanced Study in Princeton, NJ, where Gödel and Einstein both worked. Eloquent and insightful, Journey to the Edge of Reason is a fully realized portrait of the odd, brilliant, and tormented man who has been called the greatest logician since Aristotle, and illuminates the far-reaching implications of Gödel’s revolutionary ideas for philosophy, mathematics, artificial intelligence, and man’s place in the cosmos.