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A Hierarchy of Formulas in Set Theory
| eBook ISBN: | 978-1-4704-0003-3 |
| Product Code: | MEMO/1/57.E |
| List Price: | $23.00 |
| MAA Member Price: | $20.70 |
| AMS Member Price: | $18.40 |
Click above image for expanded view
A Hierarchy of Formulas in Set Theory
| eBook ISBN: | 978-1-4704-0003-3 |
| Product Code: | MEMO/1/57.E |
| List Price: | $23.00 |
| MAA Member Price: | $20.70 |
| AMS Member Price: | $18.40 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 1; 1965; 76 ppMSC: Primary 03
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Table of Contents
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Chapters
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1. Introduction
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2. Definition of the hierarchy
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3. The relative hierarchy
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4. Formulas in $\Sigma _0$ and admissible terms
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5. The satisfaction predicates
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6. The semantical hierarchy theorem
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7. Undecidable sentences
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8. The syntactical hierarchy theorems
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9. Reflection phenomena
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10. The lower levels of the hierarchy
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Appendix A. The dependence of the results on the axiom of foundation
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Appendix B. The Boolean closure of $\Sigma _j$
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Appendix C. Complete reflection in Ackermann’s set theory
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Appendix D. Equivalence of the Skolem-Löwenheim theorem with the axiom of dependent choices
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
-
Chapters
-
1. Introduction
-
2. Definition of the hierarchy
-
3. The relative hierarchy
-
4. Formulas in $\Sigma _0$ and admissible terms
-
5. The satisfaction predicates
-
6. The semantical hierarchy theorem
-
7. Undecidable sentences
-
8. The syntactical hierarchy theorems
-
9. Reflection phenomena
-
10. The lower levels of the hierarchy
-
Appendix A. The dependence of the results on the axiom of foundation
-
Appendix B. The Boolean closure of $\Sigma _j$
-
Appendix C. Complete reflection in Ackermann’s set theory
-
Appendix D. Equivalence of the Skolem-Löwenheim theorem with the axiom of dependent choices
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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