Journey To The Edge Of Reason The Life Of Kurt Godel

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Journey to the Edge of Reason

Author : Stephen Budiansky
Publisher : Oxford University Press
ISBN 13 : 0192636138
Total Pages : 384 pages
Book Rating : 4.1/5 (926 download)

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Book Synopsis Journey to the Edge of Reason by : Stephen Budiansky

Download or read book Journey to the Edge of Reason written by Stephen Budiansky and published by Oxford University Press. This book was released on 2021-05-11 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Drawing on previously unpublished letters, diaries, and medical records, Journey to the Edge of Reason offers the most complete portrait yet of the life of one of the 20th century's greatest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.

Oliver Wendell Holmes: A Life in War, Law, and Ideas

Author : Stephen Budiansky
Publisher : W. W. Norton & Company
ISBN 13 : 0393634736
Total Pages : 592 pages
Book Rating : 4.3/5 (936 download)

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Book Synopsis Oliver Wendell Holmes: A Life in War, Law, and Ideas by : Stephen Budiansky

Download or read book Oliver Wendell Holmes: A Life in War, Law, and Ideas written by Stephen Budiansky and published by W. W. Norton & Company. This book was released on 2019-05-28 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Consistently gripping.… [I]t’s possessed of a zest and omnivorous curiosity that reflects the boundless energy of its subject.” —Steve Donoghue, Christian Science Monitor Oliver Wendell Holmes escaped death twice as a young Union officer in the Civil War. He lived ever after with unwavering moral courage, unremitting scorn for dogma, and an insatiable intellectual curiosity. During his nearly three decades on the Supreme Court, he wrote a series of opinions that would prove prophetic in securing freedom of speech, protecting the rights of criminal defendants, and ending the Court’s reactionary resistance to social and economic reforms. As a pioneering legal scholar, Holmes revolutionized the understanding of common law. As an enthusiastic friend, he wrote thousands of letters brimming with an abiding joy in fighting the good fight. Drawing on many previously unpublished letters and records, Stephen Budiansky offers the fullest portrait yet of this pivotal American figure.

Incompleteness

Author : Rebecca Goldstein
Publisher : W. W. Norton & Company
ISBN 13 : 0393327604
Total Pages : 299 pages
Book Rating : 4.3/5 (933 download)

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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.

A World Without Time

Author : Palle Yourgrau
Publisher : Basic Books
ISBN 13 : 078673700X
Total Pages : 226 pages
Book Rating : 4.7/5 (867 download)

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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.

When Einstein Walked with Gödel

Author : Jim Holt
Publisher : Farrar, Straus and Giroux
ISBN 13 : 0374717842
Total Pages : 384 pages
Book Rating : 4.3/5 (747 download)

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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.

Reflections on Kurt Gödel

Author : Hao Wang
Publisher : MIT Press
ISBN 13 : 9780262730877
Total Pages : 366 pages
Book Rating : 4.7/5 (38 download)

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Book Synopsis Reflections on Kurt Gödel by : Hao Wang

Download or read book Reflections on Kurt Gödel written by Hao Wang and published by MIT Press. This book was released on 1990-03-14 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Newton/Descartes. Einstein/Gödel. The seventeenth century had its scientific and philosophical geniuses. Why shouldn't ours have them as well? Kurt Gödel was indisputably one of the greatest thinkers of our time, and in this first extended treatment of his life and work, Hao Wang, who was in close contact with Gödel in his last years, brings out the full subtlety of Gödel's ideas and their connection with grand themes in the history of mathematics and philosophy. The subjects he covers include the completeness of elementary logic, the limits of formalization, the problem of evidence, the concept of set, the philosophy of mathematics, time, and relativity theory, metaphysics and religion, as well as general ideas on philosophy as a worldview. Wang, whose reflections on his colleague also serve to clarify his own philosophical thoughts, distinguishes his ideas from those of Gödel's and on points of agreement develops Gödel's views further. The book provides a generous array of information on and interpretation of the two main phases of Gödel's career - the years between 1924 and 1939 at the University of Vienna, which were marked by intense mathematical creativity, and the period from 1940 to his death in 1978, during which he was affiliated with the Institute for Advanced Studies in Princeton, a time in which Gödel's interests steadily shifted from questions of logic to metaphysics. And it also examines Gödel's relations with the Vienna Circle, his philosophical differences with Carnap and Wittgenstein, the intimate and mutually fruitful friendship with Einstein, and the periodic bouts of depression for which Gödel was hospitalized a number of times over the course of his life. A Bradford Book.

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

Author : Stephen Budiansky
Publisher : W. W. Norton & Company
ISBN 13 : 1324005459
Total Pages : 361 pages
Book Rating : 4.3/5 (24 download)

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Book Synopsis Journey to the Edge of Reason: The Life of Kurt Gödel by : Stephen Budiansky

Download or read book Journey to the Edge of Reason: The Life of Kurt Gödel written by Stephen Budiansky and published by W. W. Norton & Company. This book was released on 2021-05-11 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: A New York Times Critics' Top Book of 2021 • A Booklist Top Ten Biography of 2021 • A Kirkus Reviews Best Science Book of 2021 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.

On Formally Undecidable Propositions of Principia Mathematica and Related Systems

Author : Kurt Gödel
Publisher : Courier Corporation
ISBN 13 : 0486158403
Total Pages : 82 pages
Book Rating : 4.4/5 (861 download)

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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.

Do Not Erase

Author : Jessica Wynne
Publisher : Princeton University Press
ISBN 13 : 0691222827
Total Pages : 248 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Do Not Erase by : Jessica Wynne

Download or read book Do Not Erase written by Jessica Wynne and published by Princeton University Press. This book was released on 2021-06-22 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: A photographic exploration of mathematicians’ chalkboards “A mathematician, like a painter or poet, is a maker of patterns,” wrote the British mathematician G. H. Hardy. In Do Not Erase, photographer Jessica Wynne presents remarkable examples of this idea through images of mathematicians’ chalkboards. While other fields have replaced chalkboards with whiteboards and digital presentations, mathematicians remain loyal to chalk for puzzling out their ideas and communicating their research. Wynne offers more than one hundred stunning photographs of these chalkboards, gathered from a diverse group of mathematicians around the world. The photographs are accompanied by essays from each mathematician, reflecting on their work and processes. Together, pictures and words provide an illuminating meditation on the unique relationships among mathematics, art, and creativity. The mathematicians featured in this collection comprise exciting new voices alongside established figures, including Sun-Yung Alice Chang, Alain Connes, Misha Gromov, Andre Neves, Kasso Okoudjou, Peter Shor, Christina Sormani, Terence Tao, Claire Voisin, and many others. The companion essays give insights into how the chalkboard serves as a special medium for mathematical expression. The volume also includes an introduction by the author, an afterword by New Yorker writer Alec Wilkinson, and biographical information for each contributor. Do Not Erase is a testament to the myriad ways that mathematicians use their chalkboards to reveal the conceptual and visual beauty of their discipline—shapes, figures, formulas, and conjectures created through imagination, argument, and speculation.

Godel

Author : John L. Casti
Publisher :
ISBN 13 : 0786747609
Total Pages : 222 pages
Book Rating : 4.7/5 (867 download)

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Book Synopsis Godel by : John L. Casti

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.

Surfaces and Essences

Author : Douglas Hofstadter
Publisher : Basic Books (AZ)
ISBN 13 : 0465018475
Total Pages : 594 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis Surfaces and Essences by : Douglas Hofstadter

Download or read book Surfaces and Essences written by Douglas Hofstadter and published by Basic Books (AZ). This book was released on 2013-04-23 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shows how analogy-making pervades human thought at all levels, influencing the choice of words and phrases in speech, providing guidance in unfamiliar situations, and giving rise to great acts of imagination.

Simply Gödel

Author : Richard Tieszen
Publisher : Simply Charly
ISBN 13 : 1943657149
Total Pages : 143 pages
Book Rating : 4.9/5 (436 download)

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Book Synopsis Simply Gödel by : Richard Tieszen

Download or read book Simply Gödel written by Richard Tieszen and published by Simply Charly. This book was released on 2017-04-11 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Quantum Steampunk

Author : Nicole Yunger Halpern
Publisher : JHU Press
ISBN 13 : 1421443724
Total Pages : 305 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Quantum Steampunk by : Nicole Yunger Halpern

Download or read book Quantum Steampunk written by Nicole Yunger Halpern and published by JHU Press. This book was released on 2022-04-12 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The science-fiction genre known as steampunk juxtaposes futuristic technologies with Victorian settings. This fantasy is becoming reality at the intersection of two scientific fields-twenty-first-century quantum physics and nineteenth-century thermodynamics, or the study of energy-in a discipline known as quantum steampunk"--

Being Heumann

Author : Judith Heumann
Publisher : Beacon Press
ISBN 13 : 080701950X
Total Pages : 458 pages
Book Rating : 4.8/5 (7 download)

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Book Synopsis Being Heumann by : Judith Heumann

Download or read book Being Heumann written by Judith Heumann and published by Beacon Press. This book was released on 2020-02-25 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Publishers Weekly Best Book of the Year for Nonfiction "...an essential and engaging look at recent disability history."— Buzzfeed One of the most influential disability rights activists in US history tells her personal story of fighting for the right to receive an education, have a job, and just be human. A story of fighting to belong in a world that wasn’t built for all of us and of one woman’s activism—from the streets of Brooklyn and San Francisco to inside the halls of Washington—Being Heumann recounts Judy Heumann’s lifelong battle to achieve respect, acceptance, and inclusion in society. Paralyzed from polio at eighteen months, Judy’s struggle for equality began early in life. From fighting to attend grade school after being described as a “fire hazard” to later winning a lawsuit against the New York City school system for denying her a teacher’s license because of her paralysis, Judy’s actions set a precedent that fundamentally improved rights for disabled people. As a young woman, Judy rolled her wheelchair through the doors of the US Department of Health, Education, and Welfare in San Francisco as a leader of the Section 504 Sit-In, the longest takeover of a governmental building in US history. Working with a community of over 150 disabled activists and allies, Judy successfully pressured the Carter administration to implement protections for disabled peoples’ rights, sparking a national movement and leading to the creation of the Americans with Disabilities Act. Candid, intimate, and irreverent, Judy Heumann’s memoir about resistance to exclusion invites readers to imagine and make real a world in which we all belong.

Big Brain Book

Author : Leanne Boucher Gill
Publisher : American Psychological Association
ISBN 13 : 1433835789
Total Pages : 112 pages
Book Rating : 4.4/5 (338 download)

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Book Synopsis Big Brain Book by : Leanne Boucher Gill

Download or read book Big Brain Book written by Leanne Boucher Gill and published by American Psychological Association. This book was released on 2021-06-01 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2022 KIDS' BOOK CHOICE AWARDS WINNER FOR BEST INFO MEETS GRAPHICS! Readers are welcomed to the Lobe Labs and Dr. Brain activities in this brightly illustrated, highly engaging book that uses science to answer interesting questions that kids have about the brain and human behavior. This is a fun primer on psychology and neuroscience that makes complex psychological phenomenon and neural mechanisms relatable to kids through illustrations, interesting factoids, and more. Chapters include: What is the brain made up of and how does it work? Why can’t I tickle myself? Why do they shine a light in my eyes when I hit my head in the game? Answers draw from both psychology and neuroscience, giving ample examples of how the science is relevant to the question and to the reader’s life experiences.

Teller's War

Author : William J. Broad
Publisher :
ISBN 13 :
Total Pages : 364 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Teller's War by : William J. Broad

Download or read book Teller's War written by William J. Broad and published by . This book was released on 1992 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Pulitzer Prize-winning reporter reveals how the father of the H-bomb sold the nation the pipe dream called Star Wars. Broad shows how Teller disregarded evidence, ignored colleagues, and continued to promote the Star Wars program. Ultimately, more than $25 billion was misspent on this system, still more a dream than reality. Photographs and line drawings.

A Logical Journey

Author : Hao Wang
Publisher : MIT Press
ISBN 13 : 9780262261258
Total Pages : 420 pages
Book Rating : 4.2/5 (612 download)

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Book Synopsis A Logical Journey by : Hao Wang

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.