Yourgrau P. A world without time.. the forgotten legacy of Goedel and Einstein (Basic Books, 2005)(ISBN 0465092934)(176s)_PPop_

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PALLE YOURGRAU is associate professor of Philosophy at Brandeis University. His 1999 monograph, Godel Meets Einstein: Time Travel in the Godel Universe, which explores the philosophical significance of Godel's cosmological ideas, sparked a resurgence of interest in Godel's ideas about time and relativity. He lives in Cambridge, Massachusetts. Copyright © 2005 by Palle Yourgrau Published by Basic Books, A Member of the Perseus Books Group First Edition All rights reserved. Printed in the United States of America. No part of this book may be reproduced in any manner whatsoever without written permission except in the case of brief quotations embodied in critical articles and reviews. Designed by Brent Wilcox Set in 11 point Sabon A CIP catalog record for this book is available from the Library of Congress. ISBN 0-465- 09293-4 (he.) Books published by Basic Books are available at special discounts for bulk purchases in the United States by corporations, institutions, and other organizations. For more information, please contact the Special Markets Department at the Perseus Books Group, 11 Cambridge Center,
Cambridge MA 02142, or call (617) 252-5298 or (800) 255-1514, or e-mail special.markets@perseusbooks.com. 050607 08/ 109 8 765432 1 Contents Acknowledgments - vii 1 A Conspiracy of Silence - 1 2 A German Bias for Metaphysics - 9 3 Vienna: Logical Circles - 21 4 A Spy in the House of Logic - 51 5 It's Hard to Leave Vienna - 77 6 Amid the Demigods - 89 7 The Scandal of Big "T" and Little "t" - 119 8 Twilight of the Gods - 145
Page 1: A World Without Time: The Forgotten
Page 5 and 6: I would also like to express my app
Page 7 and 8: information-bearing signal. And by
Page 9 and 10: elativity. "Every boy in the street
Page 11 and 12: The German man of science was a phi
Page 13 and 14: intonation, a clear and pure tone,
Page 15 and 16: uild TVs and bombs. At a faculty di
Page 17 and 18: physics of space, Einstein had simp
Page 19 and 20: As an undergraduate, Godel was part
Page 21 and 22: quickly and his replies often opene
Page 23 and 24: tables on the ground floor of the b
Page 25 and 26: That it was Vienna that gave birth
Page 27 and 28: In direct opposition to Mach stood
Page 29 and 30: It was no accident that Wittgenstei
Page 31 and 32: Into the breach stepped the Dutch p
Page 33 and 34: was Cantor's second great discovery
Page 35 and 36: Some years later, Kurt Godel would
Page 37 and 38: In Gottingen, the dean of mathemati
Page 39 and 40: structural science modeled on Frege
Page 41 and 42: computer and a chief architect of t
Page 43 and 44: of the continuum hypothesis, first
Page 45 and 46: e represented in FA. Further, via G
Page 47 and 48: consistent. Not only was truth not
Page 49 and 50: 71 slight. Immediately after the co
Page 51 and 52: Wittgenstein, in his posthumous boo
Page 53 and 54:
Abraham Flexner Goes Shopping In 19
Page 55 and 56:
to his friend Albert Einstein. He k
Page 57 and 58:
academically rigid domain of Switze
Page 59 and 60:
America. The great logician escaped
Page 61 and 62:
Courtesy of the Godel Archives, Fir
Page 63 and 64:
These eccentricities included Godel
Page 65 and 66:
who wished to do some good, like Ch
Page 67 and 68:
original, it is certainly richer: a
Page 69 and 70:
this kind of perception, i.e., in m
Page 71 and 72:
of the supreme mind governing it. P
Page 73 and 74:
"what he is interested in isn't rea
Page 75 and 76:
after beginning his work in earnest
Page 77 and 78:
Even to raise this question, one mu
Page 79 and 80:
In all of these cases, Einstein rej
Page 81 and 82:
Wittgenstein revolutions. It added
Page 83 and 84:
intuitional belief that past, prese
Page 85 and 86:
dimensional Einstein-Minkowski spac
Page 87 and 88:
Godel universe, he reasoned that si
Page 89 and 90:
would require 1012 grams of fuel fo
Page 91 and 92:
of sets by "dividing the totality o
Page 93 and 94:
more, each theorist drew ontologica
Page 95 and 96:
ideals [i.e., "ideas" or forms] the
Page 97 and 98:
car and never flew. His circle of f
Page 99 and 100:
consistency with the axioms of set
Page 101 and 102:
Suspicions of Piety Godel's attempt
Page 103 and 104:
descent into full-blown paranoia an
Page 105 and 106:
from the Wittgenstein revolutionów
Page 107 and 108:
He shared, too, Socrates' and Wittg
Page 109 and 110:
"Precritical" Goldfarb and Dreben,
Page 111 and 112:
meant in the first place by our mos
Page 113 and 114:
Frege and Godel were "logicists" wh
Page 115 and 116:
Godel's discussion of idealism, add
Page 117 and 118:
of several more of his philosophica
Page 119 and 120:
Chapter 1 2 key to his trunk: See P
Page 121 and 122:
12 "deeply religious unbeliever": G
Page 123 and 124:
27 by constructing "far-fetched gro
Page 125 and 126:
49 "[A] system of truths": Warren G
Page 127 and 128:
73 "Russell evidently misinterprets
Page 129 and 130:
94 "I know of one occasion": Wang 1
Page 131 and 132:
110 Almost all accounts: Paul Benac
Page 133 and 134:
141 "In a universe with an overall
Page 135 and 136:
158 "Philosophy tends to go down":
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173 "Often it is only after immense
Page 139 and 140:
Bell, E.T. 1986. Men of Mathematics
Page 141 and 142:
Logic, 1879-1931. Cambridge, MA: Ha
Page 143 and 144:
Wang, Hao. 1987. Reflections on Kur
Page 145 and 146:
---------. 1946. "Remarks before th
Page 147 and 148:
Malament, David. 1984. "Time Travel
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Aristotle, 182 Brahms, Johannes, 54
Page 151 and 152:
and, 55, 169; metaphysics and, 169;
Page 153 and 154:
Einstein, Albert, 83, 91, 147, 157,
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Godel rotating universes and, and,
Page 157 and 158:
vs. Goldfarb, 163, 168-72, 173-74,
Page 159 and 160:
universes, 133-34; general relativi
Page 161 and 162:
182; effective calculability and, 7
Page 163 and 164:
Logic, 56, 175; vs. Euclidean geome
Page 165 and 166:
12.1-24, 129; Maxwell vs. Newton, P
Page 167 and 168:
Number theory: Godel and, 22-23, 56
Page 169 and 170:
32, 48, 52, 105-06; Hilbert and, 48
Page 171 and 172:
Rockefeller, John D., 32 124, geome
Page 173 and 174:
Set theory, 32, 44, 48, 72, 110, 13
Page 175 and 176:
184 Universe, the: cosmic time and,
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Yourgrau P. A world without time.. the forgotten legacy of Goedel and Einstein (Basic Books, 2005)(ISBN 0465092934)(176s)_PPop_

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