Understanding the infinite /
| Основен автор: | Lavine, Shaughan. |
|---|---|
| Формат: | Електронна книга |
| Език: | English |
| Публикувано: |
Cambridge, Mass. :
Harvard University Press,
1998.
|
| Издание: | 1st Harvard University Press pbk. ed. |
| Предмети: | |
| Онлайн достъп: |
http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=282772 |
| Подобни документи: |
Print version::
Understanding the infinite. |
Съдържание:
- ""Preface""; ""Contents""; ""I. Introduction""; ""II. Infinity, Mathematics� Persistent Suitor""; ""1. Incommensurable Lengths, Irrational Numbers""; ""2. Newton and Leibniz""; ""3. Go Forward, and Faith Will Come to You""; ""4. Vibrating Strings""; ""5. Infinity Spurned""; ""6. Infinity Embraced""; ""III. Sets of Points""; ""1. Infinite Sizes""; ""2. Infinite Orders""; ""3. Integration""; ""4. Absolute vs. Transfinite""; ""5. Paradoxes""; ""IV. What Are Sets?""; ""1. Russell""; ""2. Cantor""; ""3. Appendix A: Letter from Cantor to Jourdain, 9 July 1904""
- ""4. Appendix B: On an Elementary Question of Set Theory""""V. The Axiomatization of Set Theory""; ""1. The Axiom of Choice""; ""2. The Axiom of Replacement""; ""3. Definiteness and Skolem�s Paradox""; ""4. Zermelo""; ""5. Go Forward, and Faith Will Come to You""; ""VI. Knowing the Infinite""; ""1. What Do We Know?""; ""2. What Can We Know?""; ""3. Getting from Here to There""; ""4. Appendix""; ""VII. Leaps of Faith""; ""1. Intuition""; ""2. Physics""; ""3. Modality""; ""4. Second-Order Logic""; ""VIII. From Here to Infinity""; ""1. Who Needs Self-Evidence?""; ""2. Picturing the Infinite""
- ""3. The Finite Mathematics of Indefinitely Large Size""""4. The Theory of Zillions""; ""IX. Extrapolations""; ""1. Natural Models""; ""2. Many Models""; ""3. One Model or Many? Sets and Classes""; ""4. Natural Axioms""; ""5. Second Thoughts""; ""6. Schematic and Generalizable Variables""; ""Bibliography""; ""Index""