When Einstein Walked with Gödel

When Einstein Walked with Gödel PDF Author: Jim Holt
Publisher: Farrar, Straus and Giroux
ISBN: 0374717842
Category : Science
Languages : en
Pages : 384

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Book Description
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.

When Einstein Walked with Gödel

When Einstein Walked with Gödel PDF Author: Jim Holt
Publisher: Farrar, Straus and Giroux
ISBN: 0374717842
Category : Science
Languages : en
Pages : 384

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Book Description
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.

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.

Why Does the World Exist

Why Does the World Exist PDF Author: Jim Holt
Publisher: W. W. Norton & Company
ISBN: 0871404095
Category : Philosophy
Languages : en
Pages : 321

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Book Description
In this astonishing and profound work, an irreverent sleuth traces the riddleof existence from the ancient world to modern times.

Not Even Wrong

Not Even Wrong PDF Author: Peter Woit
Publisher: Basic Books
ISBN: 046500363X
Category : Science
Languages : en
Pages : 336

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Book Description
At what point does theory depart the realm of testable hypothesis and come to resemble something like aesthetic speculation, or even theology? The legendary physicist Wolfgang Pauli had a phrase for such ideas: He would describe them as "not even wrong," meaning that they were so incomplete that they could not even be used to make predictions to compare with observations to see whether they were wrong or not. In Peter Woit's view, superstring theory is just such an idea. In Not Even Wrong , he shows that what many physicists call superstring "theory" is not a theory at all. It makes no predictions, even wrong ones, and this very lack of falsifiability is what has allowed the subject to survive and flourish. Not Even Wrong explains why the mathematical conditions for progress in physics are entirely absent from superstring theory today and shows that judgments about scientific statements, which should be based on the logical consistency of argument and experimental evidence, are instead based on the eminence of those claiming to know the truth. In the face of many books from enthusiasts for string theory, this book presents the other side of the story.

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.

Stop Me If You've Heard This: A History and Philosophy of Jokes

Stop Me If You've Heard This: A History and Philosophy of Jokes PDF Author: Jim Holt
Publisher: W. W. Norton & Company
ISBN: 0393069443
Category : Humor
Languages : en
Pages : 160

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Book Description
“Finally I understand what it is I’ve been laughing at all these years.”—Jimmy Kimmel From the best-selling author of Why Does the World Exist? comes this outrageous, uproarious compendium of absurdity, filth, racy paradox, and gratuitous offensiveness—just the kind of mature philosophical reflection readers have come to expect from the ever-entertaining Jim Holt. Indeed, Stop Me If You’ve Heard This is the first book to trace the evolution of the joke all the way from the standup comics of ancient Athens to the comedy-club Seinfelds of today. After exploring humor’s history in Part One, Holt delves into philosophy in Part Two: Wall Street jokes; jokes about rednecks and atheists, bulimics and politicians; jokes you missed if you didn’t go to a Catholic girls’ school; jokes about logic and existence itself . . . all became fodder for the grand theories of Aristotle, Kant, Freud, and Wittgenstein in this heady mix of the high and low, of the ribald and profound, from America’s most beloved philosophical pundit.

Fat Wednesday

Fat Wednesday PDF Author: John Verdi
Publisher: Paul Dry Books
ISBN: 1589880544
Category : Philosophy
Languages : en
Pages : 310

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Book Description
John Verdi probes how the inexplicable connections of words can help us understand the ever-changing connections of things that we actually see in everyday experience. In his preface he writes, "I explore two related concepts: aspect-seeing and experiencing the meaning of a word." Verdi considers how our experience of seeing aspects, wherever they appear, helps us imagine possible meanings for philosophy's opening question: "What is there?" He illuminates Ludwig Wittgenstein's ideas on language and perception while challenging readers to think through for themselves the different ways in which we see. A major influence in the development of analytic philosophy, Ludwig Wittgenstein (1889-1951) was a leading thinker in the study of logic, the philosophy of mathematics, the philosophy of mind, and the philosophy of language.

Trespassing on Einstein's Lawn

Trespassing on Einstein's Lawn PDF Author: Amanda Gefter
Publisher: Bantam
ISBN: 034553963X
Category : Science
Languages : en
Pages : 434

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Book Description
NAMED ONE OF THE BEST BOOKS OF THE YEAR BY KIRKUS REVIEWS In a memoir of family bonding and cutting-edge physics for readers of Brian Greene’s The Hidden Reality and Jim Holt’s Why Does the World Exist?, Amanda Gefter tells the story of how she conned her way into a career as a science journalist—and wound up hanging out, talking shop, and butting heads with the world’s most brilliant minds. At a Chinese restaurant outside of Philadelphia, a father asks his fifteen-year-old daughter a deceptively simple question: “How would you define nothing?” With that, the girl who once tried to fail geometry as a conscientious objector starts reading up on general relativity and quantum mechanics, as she and her dad embark on a life-altering quest for the answers to the universe’s greatest mysteries. Before Amanda Gefter became an accomplished science writer, she was a twenty-one-year-old magazine assistant willing to sneak her and her father, Warren, into a conference devoted to their physics hero, John Wheeler. Posing as journalists, Amanda and Warren met Wheeler, who offered them cryptic clues to the nature of reality: The universe is a self-excited circuit, he said. And, The boundary of a boundary is zero. Baffled, Amanda and Warren vowed to decode the phrases—and with them, the enigmas of existence. When we solve all that, they agreed, we’ll write a book. Trespassing on Einstein’s Lawn is that book, a memoir of the impassioned hunt that takes Amanda and her father from New York to London to Los Alamos. Along the way, they bump up against quirky science and even quirkier personalities, including Leonard Susskind, the former Bronx plumber who invented string theory; Ed Witten, the soft-spoken genius who coined the enigmatic M-theory; even Stephen Hawking. What they discover is extraordinary: the beginnings of a monumental paradigm shift in cosmology, from a single universe we all share to a splintered reality in which each observer has her own. Reality, the Gefters learn, is radically observer-dependent, far beyond anything of which Einstein or the founders of quantum mechanics ever dreamed—with shattering consequences for our understanding of the universe’s origin. And somehow it all ties back to that conversation, to that Chinese restaurant, and to the true meaning of nothing. Throughout their journey, Amanda struggles to make sense of her own life—as her journalism career transforms from illusion to reality, as she searches for her voice as a writer, as she steps from a universe shared with her father to at last carve out one of her own. It’s a paradigm shift you might call growing up. By turns hilarious, moving, irreverent, and profound, Trespassing on Einstein’s Lawn weaves together story and science in remarkable ways. By the end, you will never look at the universe the same way again. Praise for Trespassing on Einstein’s Lawn “Nothing quite prepared me for this book. Wow. Reading it, I alternated between depression—how could the rest of us science writers ever match this?—and exhilaration.”—Scientific American “To Do: Read Trespassing on Einstein’s Lawn. Reality doesn’t have to bite.”—New York “A zany superposition of genres . . . It’s at once a coming-of-age chronicle and a father-daughter road trip to the far reaches of this universe and 10,500 others.”—The Philadelphia Inquirer

Godel

Godel PDF Author: John L. Casti
Publisher:
ISBN: 0786747609
Category : Science
Languages : en
Pages : 222

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Book Description
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.

Exact Thinking in Demented Times

Exact Thinking in Demented Times PDF Author: Karl Sigmund
Publisher: Basic Books
ISBN: 0465096964
Category : Philosophy
Languages : en
Pages : 491

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Book Description
A dazzling group biography of the early twentieth-century thinkers who transformed the way the world thought about math and science Inspired by Albert Einstein's theory of relativity and Bertrand Russell and David Hilbert's pursuit of the fundamental rules of mathematics, some of the most brilliant minds of the generation came together in post-World War I Vienna to present the latest theories in mathematics, science, and philosophy and to build a strong foundation for scientific investigation. Composed of such luminaries as Kurt Gö and Rudolf Carnap, and stimulated by the works of Ludwig Wittgenstein and Karl Popper, the Vienna Circle left an indelible mark on science. Exact Thinking in Demented Times tells the often outrageous, sometimes tragic, and never boring stories of the men who transformed scientific thought. A revealing work of history, this landmark book pays tribute to those who dared to reinvent knowledge from the ground up.