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Contents
Chapter 14. Completion 335
§14.1. What is the correct question? 335
§14.2. The solution 341
§14.3. Why do we construct the reals? 9 344
§14.4. How do we construct the reals? 9 348
§14.5. Paradise lost? W 354
Appendix A. Ordered Fields 357
Appendix B. Countability 361
Appendix C. The Care and Treatment of Counterexamples 365
Appendix D. A More General View of Limits 371
Appendix E. Traditional Partial Derivatives 377
Appendix F. Another Approach to the Inverse Function Theorem 383
Appendix G. Completing Ordered Fields 387
Appendix H. Constructive Analysis 391
Appendix I. Miscellany 395
Appendix J. Executive Summary 401
Appendix K. Exercises 405
Bibliography 583
Index 585
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