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Table of contents
Set Theory from ZFC to Forcing
A graduate path from axiomatic foundations to modern independence methods
Read each section in order. Every title can be opened as a TheoryTrace document.
- Cover1
- Copyright2
- How to read this book3
- Introduction4
- Chapter 1: The Axiomatic View of Sets5
- Chapter 2: Classes, Relations, and Recursion6
- Chapter 3: Well-Orderings and Ordinals7
- Chapter 4: Cardinals and Cardinal Arithmetic8
- Chapter 5: The Cumulative Hierarchy and Rank9
- Chapter 6: Choice Principles and Their Equivalents10
- Chapter 7: Filters, Ideals, and Boolean Algebras11
- Chapter 8: Models of Set Theory12
- Chapter 9: Absoluteness and Reflection13
- Chapter 10: Constructibility and the Universe L14
- Chapter 11: Independence and Relative Consistency15
- Chapter 12: Forcing: Posets, Names, and Generic Extensions16
- Chapter 13: The Forcing Theorem and Preservation17
- Chapter 14: Classical Forcing Constructions18
- Chapter 15: Iterated Forcing19
- Chapter 16: Combinatorial Set Theory20
- Chapter 17: Large Cardinals21
- Chapter 18: Descriptive Set Theory and Regularity22
- Chapter 19: Advanced Independence Phenomena23
- Chapter 20: The Set-Theoretic Multiverse and Foundations24
- Conclusion25