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Mathematics: The Loss of Certainty

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Author(s): Morris Kline
Edition: 1982 paperback
Publisher: Oxford University Press
Year: 1980

Language: English
Pages: 370
City: Oxford, New York

Contents (v)......Page 5
Introduction: The Thesis (3)......Page 8
I. The Genesis of Mathematical Truths (9)......Page 14
II. The Flowering of Mathematical Truths (31)......Page 36
III. The Mathematization of Science (50)......Page 55
IV. The First Debacle: The Withering of Truth (69)......Page 74
V. The Illogical Development of a Logical Subject (100)......Page 105
VI. The Illogical Development: The Morass of Analysis (127)......Page 132
VII. The Illogical Development: The Predicament circa 1800 (153)......Page 158
VIII. The Illogical Development: At the Gates of Paradise (172)......Page 177
IX. Paradise Barred: A New Crisis of Reason (197)......Page 202
X. Logicism versus Intuitionism (216)......Page 221
XI. The Formalist and Set-Theoretic Foundations (245)......Page 250
XII. Disasters (258)......Page 263
XIII. The Isolation of Mathematics (278)......Page 283
XIV. Whither Mathematics? (307)......Page 312
XV. The Authority of Nature (328)......Page 333
Selected Bibliography (355)......Page 360
Index (361)......Page 365