Mathematical Logic On Numbers, Sets, Structures, and Symmetry
This textbook is a second edition of the successful, Mathematical Logic: On Numbers, Sets, Structures, and Symmetry. It retains the original two parts found in the first edition, while presenting new material in the form of an added third part to the textbook. The textbook offers a slow introduction...
| Main Author: | |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2024, 2024
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| Edition: | 2nd ed. 2024 |
| Series: | Springer Graduate Texts in Philosophy
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Part I: Logic, Sets, and Numbers
- Chapter 1. First-order Logic
- Chapter 2. Logical seeing
- Chapter 3. What is a Number?
- Chapter 4. Seeing the Number Structures
- Chapter 5. Points, Lines, and the Structure of R
- Chapter 6. Set Theory
- Part II: Relations, Structures, Geometry
- Chapter 7. Relations
- Chapter 8. Definable Elements and Constants
- Chapter 9. Minimal and Order-Minimal Structures
- Chapter 10. Geometry of Definable Sets
- Chapter 11. Where Do Structures Come From?
- Chapter 12. Elementary Extensions and Symmetries
- Chapter 13. Tame vs. Wild
- Chapter 14. First-Order Properties
- Chapter 15. Symmetries and Logical Visibility One More Time
- Part III: Inference, Models, Categoricity and Diversity
- Chapter 16. Logical Inference
- Chapter 17. Categoricity
- Chapter 18. Counting Countable Models
- Chapter 19. Infinitary Logics
- Chapter 20. Symmetry and Definability
- Appendices
- Bibliography
- Index