How Math Explains the World.pdf

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How ￿
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Math ￿
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Explains ￿
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A Guide
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to the
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Power of Numbers,
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Car Repair to ￿
Modern Physics ￿
James D. Stein
￿
618457
939946
Contents ￿
Preface
Introduction
Prologue: Why Your Car Never Seems to Be Ready When ￿
They Promised 1 ￿
x
Section I: Describing the Universe 11 ￿
1: The Measure of All Things 13 ￿
2: Reality Checks 29 ￿
3: All Things Great and Small 41 ￿
Section II: The Incomplete Toolbox 65 ￿
4: Impossible Constructions 67 ￿
5: The Hope Diamond of Mathematics 81 ￿
6: Never the Twain Shall Meet 101 ￿
7: Even Logic Has Limits 115 ￿
8: Space and Time: Is That All There Is? 133 ￿
Section III: Information: The Goldilocks Dilemma 153 ￿
9: Murphy’s Law 155 ￿
10: The Disorganized Universe 169 ￿
11: The Raw Materials 185 ￿
Section IV: The Unattainable Utopia 203 ￿
12: Cracks in the Foundation 205 ￿
13: The Smoke-Filled Rooms 223 ￿
14: Through a Glass Darkly 237 ￿
Index 249 ￿
v i
About the Author
Credits
Cover
Copyright
About the Publisher

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